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How to Make a Digital Currency on a Blockchain Stable Kenji Saitoa,∗, Mitsuru Iwamurab aKeio Research Institute at SFC, Keio University, (Murai Lab.) 5322 Endo, Fujisawa, Kanagawa 252-0882 Japan bGraduate School of Business and Finance, Waseda University, 1-6-1 Nishi-Waseda, Shinjuku-ku, Tokyo 169-8050 Japan Abstract Bitcoin and other similar digital currencies on blockchains are not ideal means for payment, because their prices tend to go up in the long term (thus people are incentivized to hoard
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How to make a digital currency on a blockchain stable
400
those currencies), and to fluctuate widely in the short term (thus people would want to avoid risks of losing values). The reason why those blockchain currencies based on proof of work are unstable may be found in their designs that the supplies of currencies do not respond to their positive and negative demand shocks, as the authors have formulated in our past work. Continuing from our past work, this paper proposes minimal changes to the design of blockchain currencies so that their market prices are
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How to make a digital currency on a blockchain stable
401
those currencies), and to fluctuate widely in the short term (thus people would want to avoid risks of losing values). The reason why those blockchain currencies based on proof of work are unstable may be found in their designs that the supplies of currencies do not respond to their positive and negative demand shocks, as the authors have formulated in our past work. Continuing from our past work, this paper proposes minimal changes to the design of blockchain currencies so that their market prices are
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How to make a digital currency on a blockchain stable
402
automatically stabilized, absorbing both positive and negative demand shocks of the curren- cies by autonomously controlling their supplies. Those changes are: 1) limiting re-adjustment of proof-of-work targets, 2) making mining rewards variable ac- cording to the observed over-threshold changes of block intervals, and 3) enforc- ing negative interests to remove old coins in circulation. We have made basic design checks and evaluations of these measures through simple simulations. In addition to stabiliz
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How to make a digital currency on a blockchain stable
403
automatically stabilized, absorbing both positive and negative demand shocks of the curren- cies by autonomously controlling their supplies. Those changes are: 1) limiting re-adjustment of proof-of-work targets, 2) making mining rewards variable ac- cording to the observed over-threshold changes of block intervals, and 3) enforc- ing negative interests to remove old coins in circulation. We have made basic design checks and evaluations of these measures through simple simulations. In addition to stabiliz
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How to make a digital currency on a blockchain stable
404
ation of prices, the proposed measures may have ef- fects of making those currencies preferred means for payment by disincentivizing hoarding, and improving sustainability of the currency systems by making re- wards to miners perpetual. Keywords: digital currency, cryptocurrency, Bitcoin, blockchain, proof of work 1. Introduction Digital currencies such as BTC on Bitcoin[1] blockchain and Ether on Ethereum[2] blockchain are now well-known, and are accepted means for payment in some ∗Corresponding auth
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How to make a digital currency on a blockchain stable
405
ation of prices, the proposed measures may have ef- fects of making those currencies preferred means for payment by disincentivizing hoarding, and improving sustainability of the currency systems by making re- wards to miners perpetual. Keywords: digital currency, cryptocurrency, Bitcoin, blockchain, proof of work 1. Introduction Digital currencies such as BTC on Bitcoin[1] blockchain and Ether on Ethereum[2] blockchain are now well-known, and are accepted means for payment in some ∗Corresponding auth
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How to make a digital currency on a blockchain stable
406
or. Email addresses: [email protected] (Kenji Saito), [email protected] (Mitsuru Iwamura) Preprint submitted to Elsevier May 17, 2019 http://arxiv.org/abs/1801.06771v2 countries. However, these currencies are not ideal as methods of payment be- cause of instability of their market prices. Their prices tend to go up in the long term, and to fluctuate widely in the short term. Therefore, people are incentivized to hoard those currencies, and would want to avoid risks of losing values by using them f
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How to make a digital currency on a blockchain stable
407
or. Email addresses: [email protected] (Kenji Saito), [email protected] (Mitsuru Iwamura) Preprint submitted to Elsevier May 17, 2019 http://arxiv.org/abs/1801.06771v2 countries. However, these currencies are not ideal as methods of payment be- cause of instability of their market prices. Their prices tend to go up in the long term, and to fluctuate widely in the short term. Therefore, people are incentivized to hoard those currencies, and would want to avoid risks of losing values by using them f
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How to make a digital currency on a blockchain stable
408
or payment. Stability of their market prices needs to be achieved if these currencies are intended to be used as monetary media instead of as investment products. In the authors' past work[3] (an improved version of the discussion paper with the same title), we have formulated the mechanism of instability by ana- lyzing the economics of those blockchain currencies based on proof of work. We have also proposed measures to stabilize the market prices of such currencies. The contributions of this paper are
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How to make a digital currency on a blockchain stable
409
or payment. Stability of their market prices needs to be achieved if these currencies are intended to be used as monetary media instead of as investment products. In the authors' past work[3] (an improved version of the discussion paper with the same title), we have formulated the mechanism of instability by ana- lyzing the economics of those blockchain currencies based on proof of work. We have also proposed measures to stabilize the market prices of such currencies. The contributions of this paper are
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How to make a digital currency on a blockchain stable
410
refinements of the work as follows: 1. We have refined the formulation of the economic model of blockchain cur- rencies based on proof of work, using abstractions closer to actual currency system designs, and 2. We have refined our proposed measures for stabilization of market prices of the currencies that would absorb both positive and negative demand shocks. The proposed measures went through basic design checks and evaluations by simple simulations. Our proposals are primarily targeted for Bitcoin
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How to make a digital currency on a blockchain stable
411
refinements of the work as follows: 1. We have refined the formulation of the economic model of blockchain cur- rencies based on proof of work, using abstractions closer to actual currency system designs, and 2. We have refined our proposed measures for stabilization of market prices of the currencies that would absorb both positive and negative demand shocks. The proposed measures went through basic design checks and evaluations by simple simulations. Our proposals are primarily targeted for Bitcoin
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How to make a digital currency on a blockchain stable
412
and its descendants. For information of the design of Bitcoin, in addition to the original design paper[1], we have referred to more up-to-date resources from the project web page[4] and the code1 itself. 2. Blockchain Currency based on Proof of Work First, we clarify the design of blockchain currencies based on proof of work. Any participant in the blockchain network may construct and broadcast (by flooding) a transaction of coins of which they have control. Figure 1 shows an example of transaction d
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How to make a digital currency on a blockchain stable
413
ata structure found in Bitcoin. A transaction may have a list of inputs each referring to an existing coin as a container of value (represented as an output of a past transaction), and a non-empty list of outputs each representing a new coin or null coin (an output used for applications). A transaction is digitally signed in each input, which is verifiable with the public key also included in the input. The digest of the public key needs to match the digest to which the referred output is addressed. This
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How to make a digital currency on a blockchain stable
414
ata structure found in Bitcoin. A transaction may have a list of inputs each referring to an existing coin as a container of value (represented as an output of a past transaction), and a non-empty list of outputs each representing a new coin or null coin (an output used for applications). A transaction is digitally signed in each input, which is verifiable with the public key also included in the input. The digest of the public key needs to match the digest to which the referred output is addressed. This
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How to make a digital currency on a blockchain stable
415
structure is self-contained, and its validity can be verified by anyone. The objective of the blockchain's consensus algorithm (Nakamoto consensus hereafter) is to maintain a single history of blocks such that it does not involve any invalid or contradicting transactions. An example of the latter is double spending of one digital coin, which cannot be prevented by the transaction data 1https://github.com/bitcoin/bitcoin/ 2 Transaction 2 Transaction 1 input input Transaction 3 to A: to B: to A
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How to make a digital currency on a blockchain stable
416
structure is self-contained, and its validity can be verified by anyone. The objective of the blockchain's consensus algorithm (Nakamoto consensus hereafter) is to maintain a single history of blocks such that it does not involve any invalid or contradicting transactions. An example of the latter is double spending of one digital coin, which cannot be prevented by the transaction data 1https://github.com/bitcoin/bitcoin/ 2 Transaction 2 Transaction 1 input input Transaction 3 to A: to B: to A
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How to make a digital currency on a blockchain stable
417
:to A: signs input input 12.5 BTC 30 BTC 12.5 BTC input output (25 BTC) output (30 BTC) output (12.5 BTC) output (7.5 BTC) user A user B Unspent TX Output Figure 1: Transaction Structure of Bitcoin - So-called UTXO Model structure alone. Presumably, the designer (or designers) of this technology first called it distributed timestamp server because it is intended to keep track of relative timing of events. As Figure 2 shows, each block contains the crypto- graphic digest of the previous
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How to make a digital currency on a blockchain stable
418
:to A: signs input input 12.5 BTC 30 BTC 12.5 BTC input output (25 BTC) output (30 BTC) output (12.5 BTC) output (7.5 BTC) user A user B Unspent TX Output Figure 1: Transaction Structure of Bitcoin - So-called UTXO Model structure alone. Presumably, the designer (or designers) of this technology first called it distributed timestamp server because it is intended to keep track of relative timing of events. As Figure 2 shows, each block contains the crypto- graphic digest of the previous
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How to make a digital currency on a blockchain stable
419
block, except the very first block sometimes called the genesis block. Such a digest must meet a certain criterion; it needs to be less than or equal to the pre-adjusted and agreed target stored in or calculated from the block (we call this structure hash chain with proof of work hereafter). Since the digest is calculated by a one-way function whose outputs are evenly distributed, no one can intentionally configure a block to satisfy the criterion. Instead, they need to partake repetitive trials to change
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How to make a digital currency on a blockchain stable
420
block, except the very first block sometimes called the genesis block. Such a digest must meet a certain criterion; it needs to be less than or equal to the pre-adjusted and agreed target stored in or calculated from the block (we call this structure hash chain with proof of work hereafter). Since the digest is calculated by a one-way function whose outputs are evenly distributed, no one can intentionally configure a block to satisfy the criterion. Instead, they need to partake repetitive trials to change
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How to make a digital currency on a blockchain stable
421
the values of some nonce in the block they are creating until they get a right digest. Therefore, creation of a block is a probabilistic process. Transactions not found in the agreed chain are extracted, and eventually get included. block n transactions block n+1 block n+2 block n+3 block n+1 block n+2 digest digest digest digest digest digest …… digest ≦ target Everyone agrees on the chain with the highest Proof- of-Work cost. Figure 2: Overview of Bitcoin Blockchain - Hash Chain with Pro
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How to make a digital currency on a blockchain stable
422
the values of some nonce in the block they are creating until they get a right digest. Therefore, creation of a block is a probabilistic process. Transactions not found in the agreed chain are extracted, and eventually get included. block n transactions block n+1 block n+2 block n+3 block n+1 block n+2 digest digest digest digest digest digest …… digest ≦ target Everyone agrees on the chain with the highest Proof- of-Work cost. Figure 2: Overview of Bitcoin Blockchain - Hash Chain with Pro
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How to make a digital currency on a blockchain stable
423
of of Work The necessity of repetitive trials functions as a proof-of-work mechanism intended to be a protection against falsification. A transaction itself cannot 3 be falsified unless digital signatures are compromised. But it is conceivable to remove some transactions from a past block or to add fabricated transactions that did not really exist. If one tries so, the digest of the block is changed and is typically greater than the target. Then they would have to retry the proof of work for the bloc
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How to make a digital currency on a blockchain stable
424
k. This changes the digest stored in the next block, which in turn means that the digest of the next block is also changed and is typically greater than the target, and so on. In short, ones with a malicious intention would have to redo the proof of work from where they want to change, and outdo the ongoing process of adding blocks eventually to make the change valid, which has generally been considered highly difficult. Such proof of work can also limit the number of proposed blocks at one time. But the
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How to make a digital currency on a blockchain stable
425
k. This changes the digest stored in the next block, which in turn means that the digest of the next block is also changed and is typically greater than the target, and so on. In short, ones with a malicious intention would have to redo the proof of work from where they want to change, and outdo the ongoing process of adding blocks eventually to make the change valid, which has generally been considered highly difficult. Such proof of work can also limit the number of proposed blocks at one time. But the
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How to make a digital currency on a blockchain stable
426
re still is a possibility of multiple participants each proposing a new block at roughly the same time, which may be accepted by different sets of participants. Then the hash chain may have multiple ends that are extended independently from one another, resulting in a fork of the blockchain with multiple (and possibly, contradicting) histories of blocks. If this happens, roughly speaking, the longest branch is considered to be correct. More precisely, to avoid the case of branches with artificially raised
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How to make a digital currency on a blockchain stable
427
re still is a possibility of multiple participants each proposing a new block at roughly the same time, which may be accepted by different sets of participants. Then the hash chain may have multiple ends that are extended independently from one another, resulting in a fork of the blockchain with multiple (and possibly, contradicting) histories of blocks. If this happens, roughly speaking, the longest branch is considered to be correct. More precisely, to avoid the case of branches with artificially raised
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How to make a digital currency on a blockchain stable
428
targets, the branch that is the most difficult to produce is chosen by all participants. This reflects the total cost cast in the creation of the hash chain branch. Because of proof of work, any chain branch requires the same cost paid for its creation when it is tried to be falsified. In short, Nakamoto consensus tries to enforce that the most difficult chain branch to falsify is chosen as the single correct history2. 3. Market Price Mechanism of a Blockchain Currency based on Proof of Work 3.1. Supp
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How to make a digital currency on a blockchain stable
429
targets, the branch that is the most difficult to produce is chosen by all participants. This reflects the total cost cast in the creation of the hash chain branch. Because of proof of work, any chain branch requires the same cost paid for its creation when it is tried to be falsified. In short, Nakamoto consensus tries to enforce that the most difficult chain branch to falsify is chosen as the single correct history2. 3. Market Price Mechanism of a Blockchain Currency based on Proof of Work 3.1. Supp
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How to make a digital currency on a blockchain stable
430
ly and Demand The price of a blockchain currency and proof of work are closely related, because proof of work is closely related to supply of the coins, and the price in general is a reflection of supply and demand. The authors have discussed this in detail in our past work[3], and reasoned that the cause of instability of BTC price is that supply of coins does not respond to demand shocks. Figure 3 shows the supply and demand curves of Bitcoin. Usually for any goods (including money), demand curve slo
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How to make a digital currency on a blockchain stable
431
ly and Demand The price of a blockchain currency and proof of work are closely related, because proof of work is closely related to supply of the coins, and the price in general is a reflection of supply and demand. The authors have discussed this in detail in our past work[3], and reasoned that the cause of instability of BTC price is that supply of coins does not respond to demand shocks. Figure 3 shows the supply and demand curves of Bitcoin. Usually for any goods (including money), demand curve slo
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How to make a digital currency on a blockchain stable
432
pes downwards from left to right (negatively sloped) while supply curve slopes positively. The price is found at the intersection of both curves. If the demand curve shifts left (demand drops) or right (demand rises), the supply curve would naturally respond (also shifts left to decreases supply or right to increase) to ease the shock of demand changes and subsequent price changes. 2For imperfection of the design of Nakamoto consensus, readers are referred to a past work[5] by the first author of this p
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How to make a digital currency on a blockchain stable
433
pes downwards from left to right (negatively sloped) while supply curve slopes positively. The price is found at the intersection of both curves. If the demand curve shifts left (demand drops) or right (demand rises), the supply curve would naturally respond (also shifts left to decreases supply or right to increase) to ease the shock of demand changes and subsequent price changes. 2For imperfection of the design of Nakamoto consensus, readers are referred to a past work[5] by the first author of this p
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How to make a digital currency on a blockchain stable
434
aper. 4 Price P P P Quantity Supply Demand Demand Demand + + - - Real supply curve taking computation power into account Planned (halving) constant pace Figure 3: Supply and Demand of Bitcoin with a Vertical Supply Curve On the other hand, BTC coins are only newly supplied as the reward in every new block. There just is a rule that the reward is halved every 210,000 blocks. Therefore the supply curve is vertical (more precisely, the supply curve is slightly positively sloped, because w
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How to make a digital currency on a blockchain stable
435
aper. 4 Price P P P Quantity Supply Demand Demand Demand + + - - Real supply curve taking computation power into account Planned (halving) constant pace Figure 3: Supply and Demand of Bitcoin with a Vertical Supply Curve On the other hand, BTC coins are only newly supplied as the reward in every new block. There just is a rule that the reward is halved every 210,000 blocks. Therefore the supply curve is vertical (more precisely, the supply curve is slightly positively sloped, because w
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How to make a digital currency on a blockchain stable
436
hen the demand rises and the price goes up, there will be slightly more supply before the proof-of-work target is adjusted. When the demand drops and the price goes down, there will be the opposite effect). Shifting the demand curve directly affects the price P in the figure. 3.2. Consequences of Proof of Work Here, we present a revised simpler version of the formulation in our past work[3] to describe the economics of proof of work. We start by the number of participants. Suppose M miners participate.
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How to make a digital currency on a blockchain stable
437
hen the demand rises and the price goes up, there will be slightly more supply before the proof-of-work target is adjusted. When the demand drops and the price goes down, there will be the opposite effect). Shifting the demand curve directly affects the price P in the figure. 3.2. Consequences of Proof of Work Here, we present a revised simpler version of the formulation in our past work[3] to describe the economics of proof of work. We start by the number of participants. Suppose M miners participate.
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How to make a digital currency on a blockchain stable
438
For simplicity, computation power of all miners are considered equal. Thus, M is rather the total number of mining units with the same hash rate (how many digests can be calculated in an interval), and the number can increase or decrease to represent entry and exit of miners. Further, we assume that there is no monopoly in the mining industry, and miners' production function does not have externality or knowledge-intensiveness. Usually, in the digital world, a production function is considered virtually
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How to make a digital currency on a blockchain stable
439
For simplicity, computation power of all miners are considered equal. Thus, M is rather the total number of mining units with the same hash rate (how many digests can be calculated in an interval), and the number can increase or decrease to represent entry and exit of miners. Further, we assume that there is no monopoly in the mining industry, and miners' production function does not have externality or knowledge-intensiveness. Usually, in the digital world, a production function is considered virtually
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How to make a digital currency on a blockchain stable
440
free from the law of diminishing returns because the marginal cost of production is negligible. However, in the case of mining of a blockchain currency, because the proof-of-work target is adjusted to maintain the same production rate of the currency, adding more production units would at some point yield lower incremental per-unit returns, showing similar characteristics to productions in the physical world. For this reason and with above assumptions, we believe that the classical competition model (wit
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How to make a digital currency on a blockchain stable
441
free from the law of diminishing returns because the marginal cost of production is negligible. However, in the case of mining of a blockchain currency, because the proof-of-work target is adjusted to maintain the same production rate of the currency, adding more production units would at some point yield lower incremental per-unit returns, showing similar characteristics to productions in the physical world. For this reason and with above assumptions, we believe that the classical competition model (wit
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How to make a digital currency on a blockchain stable
442
h entry and exit) can be applied to our arguments, as described below. 5 Let λ be the average number of occurrences of an event that a miner with one mining unit finds a nonce satisfying the required criterion in an interval. We ignore the cost of communication, so that discoveries of a right nonce are independent events that can globally occur Mλ times within the interval. We consider the average interval between successes θ: θ = 1 Mλ We assume a cryptographic hash function H with range R. For ex
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How to make a digital currency on a blockchain stable
443
h entry and exit) can be applied to our arguments, as described below. 5 Let λ be the average number of occurrences of an event that a miner with one mining unit finds a nonce satisfying the required criterion in an interval. We ignore the cost of communication, so that discoveries of a right nonce are independent events that can globally occur Mλ times within the interval. We consider the average interval between successes θ: θ = 1 Mλ We assume a cryptographic hash function H with range R. For ex
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How to make a digital currency on a blockchain stable
444
ample, in case of SHA-256, R = 2256. We define the proof-of-work criterion as follows: the cryptographic digest of a block by H must be less than or equal to target G. We define target-reachability g as below. g = G R Conceptually, difficulty of proof of work is inverse of the target-reachability g−1. Suppose that one mining unit tries h times in an interval, so that h represents the average hash rate of a mining unit. Therefore, λ = hg and θ = 1 Mhg Let V be the reward of a successful proof of w
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How to make a digital currency on a blockchain stable
445
ample, in case of SHA-256, R = 2256. We define the proof-of-work criterion as follows: the cryptographic digest of a block by H must be less than or equal to target G. We define target-reachability g as below. g = G R Conceptually, difficulty of proof of work is inverse of the target-reachability g−1. Suppose that one mining unit tries h times in an interval, so that h represents the average hash rate of a mining unit. Therefore, λ = hg and θ = 1 Mhg Let V be the reward of a successful proof of w
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How to make a digital currency on a blockchain stable
446
ork. Then the reward for the winners of the mining competition is fixed as about Z altogether per interval. Z = V θ = VMhg The expected benefit Bm per mining unit per interval is therefore, Bm = Z M = V hg If the market value of bitcoin is given as P , the market value of the expected benefit is PBm. Now, we consider the cost Cm for operating one mining unit. If Cm < PBm, more mining units will participate (M is increased). This in turn will result in shorter θ, and eventually g will be adjusted w
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How to make a digital currency on a blockchain stable
447
ork. Then the reward for the winners of the mining competition is fixed as about Z altogether per interval. Z = V θ = VMhg The expected benefit Bm per mining unit per interval is therefore, Bm = Z M = V hg If the market value of bitcoin is given as P , the market value of the expected benefit is PBm. Now, we consider the cost Cm for operating one mining unit. If Cm < PBm, more mining units will participate (M is increased). This in turn will result in shorter θ, and eventually g will be adjusted w
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How to make a digital currency on a blockchain stable
448
ith smaller G to maintain the reference θ (10 minutes in the case of Bitcoin). This will result in Bm getting smaller. Conversely if Cm > PBm, less mining units will participate (M is decreased). Short-term actualization of this would be that miners turn off their mining units. Long-term actualization would be that miners use their mining units to mine other compatible and profitable coins, or sell their units to others who mine 6 such coins, or just dispose the units, thereby (partially) leaving fro
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How to make a digital currency on a blockchain stable
449
ith smaller G to maintain the reference θ (10 minutes in the case of Bitcoin). This will result in Bm getting smaller. Conversely if Cm > PBm, less mining units will participate (M is decreased). Short-term actualization of this would be that miners turn off their mining units. Long-term actualization would be that miners use their mining units to mine other compatible and profitable coins, or sell their units to others who mine 6 such coins, or just dispose the units, thereby (partially) leaving fro
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How to make a digital currency on a blockchain stable
450
m the mining business of the particular currency. Then θ is prolonged, and eventually g will be adjusted with larger G, resulting in Bm getting larger. In the long run, the following equilibrium is reached. Cm = PBm In other form, Cm = PV hg (1) Some readers may wonder if such an equilibrium is still reached if the price P goes down to zero. If P stays at a near-zero level for a long time, the equation requires that the cost Cm for operating one
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How to make a digital currency on a blockchain stable
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MOCA: A Scalable Consensus Algorithm Based on Cellular Automata MOCA: A Scalable Consensus Algorithm Based on Cellular Automata Zhancang Wang Department ofResearch & Development NKNLabs 9 Temasek Boulevard, Singapore justin@nknorg Keywords-blockchain; consensus; Ising model; MOCA; scalability Figure 1. (a) definition of spin-up; (b) definition of spin-down; (c) illustration of regular 3D spin configuration; (d) illustration of spin configuration in complex network. A focal node i. chosen uniformly
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MOCA A Scalable Consensus Algorithm Based on Cellular Automata
452
at random from the set of all nodes V; Choose a neighboring voter ~ j A neighbor, 1, is chosen uniformly at random from the set of {'s neighbors: Ni; Update s,(t) --> s,(t + lit) Voter i. updates its state to be that of voter 1. In the voter model, each voter updates their opinion by selecting a neighboring voter uniformly at random and adopting their opinion. In short, we randomly select a voter and he copies the state of a randomly chose neighbor. The to reach consensus scales linearly with system
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MOCA A Scalable Consensus Algorithm Based on Cellular Automata
453
at random from the set of all nodes V; Choose a neighboring voter ~ j A neighbor, 1, is chosen uniformly at random from the set of {'s neighbors: Ni; Update s,(t) --> s,(t + lit) Voter i. updates its state to be that of voter 1. In the voter model, each voter updates their opinion by selecting a neighboring voter uniformly at random and adopting their opinion. In short, we randomly select a voter and he copies the state of a randomly chose neighbor. The to reach consensus scales linearly with system
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MOCA A Scalable Consensus Algorithm Based on Cellular Automata
454
size as O(N) [1]. The analytical tractability of the voter model stems from the fact that the probability of being in a given state is linear in the number of neighbors in that state. An immediate consequence of this linearity, is that the voter model is a martingale, meaning the average magnetization of the system (s), remains constant through time for any initial conditions [2]. II. THE VOTER MODEL The voter model follows "tell me what to think", which is a simple mathematical spin model of opinion fo
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MOCA A Scalable Consensus Algorithm Based on Cellular Automata
455
rmation in which voters are located at the nodes of a network, each voter has an opinion (in the simplest case, a or 1), and a randomly chosen voter assumes the opinion of one of its neighbors [1]. The voter model is the simplest stochastic spin-modeL Each node i. E V, is a voter (spin) which can be in one of two states: s, E {O,l]. , and has a set of neighbors N; In its simplest instantiation, every voter has the same number of neighbors, all neighbors are local, and all edges are undirected. This stand
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MOCA A Scalable Consensus Algorithm Based on Cellular Automata
456
ard voter model can be defined as below pseudo code, The Voter Algorithm-Standard Choose voter ~ i of the whole network. Here in spin models, spins represent binary opinions. An individual's opinion is represented as individual spin state. Therefore, a consensus can be modeled as magnetization ordering in spin models. (d) ! ! (0) ! I (b) I Spin-down -1 "0" (a) I Spill-Up +1 "1" Abstract-In recent years, with Bitcoin taking the lead, the blockchain technology has been put in the spotlight as
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MOCA A Scalable Consensus Algorithm Based on Cellular Automata
457
it introduced a method for multiple parties to achieve consensus without trust. Nevertheless, the according application is constrained due to its limitations in scalability. In this paper, we proposed a highly scalable consensus model based on majority voting cellular automata, namely the MOCA consensus, with a distinctive blockchain-based distributed ledger in which the state change of each node depends on its neighbors. MOCA consensus origins from the zero-temperature Ising model with spontaneous magne
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MOCA A Scalable Consensus Algorithm Based on Cellular Automata
458
tization achieving scalability of number of nodes with high probability Byzantine fault tolerance. I. INTRODUCTION We would like to use this paper to introduce a novel scalable consensus step by step. It involves spin models from simple to complex and finally the Majority vOting Cellular Automata (MaCA) consensus. Spin is the angular momentum intrinsic to particles such as atoms, protons, or electrons. Such particles and the spin of quantum mechanical systems ("particle spin") possesses several non-clas
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MOCA A Scalable Consensus Algorithm Based on Cellular Automata
459
sical features and for such systems spin angular momentum cannot be associated with rotation but instead refers only to the presence of angular momentum. As shown in Figure 1, the term spin model denotes spins or nodes sit at junctions of a network and edges represent couplings to other spins or nodes, known as neighbors. Here spins or nodes are associated with a spin variable sJ i = 1, ...,N) which is a number that is either +1(1'; spin-up) or -let; spin-down), stemmed from magnetization concept in phys
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MOCA A Scalable Consensus Algorithm Based on Cellular Automata
460
sical features and for such systems spin angular momentum cannot be associated with rotation but instead refers only to the presence of angular momentum. As shown in Figure 1, the term spin model denotes spins or nodes sit at junctions of a network and edges represent couplings to other spins or nodes, known as neighbors. Here spins or nodes are associated with a spin variable sJ i = 1, ...,N) which is a number that is either +1(1'; spin-up) or -let; spin-down), stemmed from magnetization concept in phys
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MOCA A Scalable Consensus Algorithm Based on Cellular Automata
461
ics. A given set of numbers {s.} specifies a configuration 978-1-5386-6565-7118/$31.00 ©2018 IEEE 314 Figure 2. Illustration of various magnetization with types of phase shift varying with temperature. S (X) =!z.B log DE (4) where !z.B denotes Boltzmann constant and DE represents number of possible configurations for a given energy value X. With energy and entropy, we can obtain Helmholtz free energy [5] as, 'F = X - TS (5) Where temperature T is a control parameter, which indicates that if T = 0
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MOCA A Scalable Consensus Algorithm Based on Cellular Automata
462
ics. A given set of numbers {s.} specifies a configuration 978-1-5386-6565-7118/$31.00 ©2018 IEEE 314 Figure 2. Illustration of various magnetization with types of phase shift varying with temperature. S (X) =!z.B log DE (4) where !z.B denotes Boltzmann constant and DE represents number of possible configurations for a given energy value X. With energy and entropy, we can obtain Helmholtz free energy [5] as, 'F = X - TS (5) Where temperature T is a control parameter, which indicates that if T = 0
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MOCA A Scalable Consensus Algorithm Based on Cellular Automata
463
, only the energy term is considered without any entropy. This means a system can reach a consensus! Therefore, the zero-T Ising model becomes a foundation of our MaCA consensus development. At sufficiently low enough temperature, all spins in the Ising model will "cooperate" and spontaneously align themselves (e.g. most spins become +1) even in the absence of the external field (Ai = 0). This phenomenon is called spontaneous magnetization. This kind of spontaneous magnetization M can be seen as a quanti
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MOCA A Scalable Consensus Algorithm Based on Cellular Automata
464
, only the energy term is considered without any entropy. This means a system can reach a consensus! Therefore, the zero-T Ising model becomes a foundation of our MaCA consensus development. At sufficiently low enough temperature, all spins in the Ising model will "cooperate" and spontaneously align themselves (e.g. most spins become +1) even in the absence of the external field (Ai = 0). This phenomenon is called spontaneous magnetization. This kind of spontaneous magnetization M can be seen as a quanti
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MOCA A Scalable Consensus Algorithm Based on Cellular Automata
465
tative measure of the progress of consensus, which is the average value of the spin as, T (6)1 LNM =- '-lS,N ,,- " M "spontaneous magnetization" region: magnetized Disorder phase region with out any exte rna l magnetic field with hj=o "- consensns" paint with hi=o &1"=0 In Figure 2, if each spin variable Si represents the "individual opinion", then magnetization M denotes the average spin of the system, which is corresponding to the concept of average opinion in network or majority vote. In dimension
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MOCA A Scalable Consensus Algorithm Based on Cellular Automata
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MOCA A Scalable Consensus Algorithm Based on Cellular Automata
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On the Sustainability of Blockchain Funding Hamed Balogun Lancaster University Lancaster, United Kingdom [email protected] Bingsheng Zhang Lancaster University Lancaster, United Kingdom [email protected] Abstract—Blockchain technology has pioneered a new consen- sus approach to building a distributed public ledger globally. A key feature expected from cryptocurrencies and blockchain systems is the absence of a centralized control over the operation process. That is, blockchain solutions
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On the sustainability of blockchain funding
468
On the Sustainability of Blockchain Funding Hamed Balogun Lancaster University Lancaster, United Kingdom [email protected] Bingsheng Zhang Lancaster University Lancaster, United Kingdom [email protected] Abstract—Blockchain technology has pioneered a new consen- sus approach to building a distributed public ledger globally. A key feature expected from cryptocurrencies and blockchain systems is the absence of a centralized control over the operation process. That is, blockchain solutions
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On the sustainability of blockchain funding
469
should neither rely on "trusted parties or powerful minority" for their operations, nor introduce such centralisation tendencies into blockchain systems. On the other hand, real-world blockchain systems require steady funding for continuous development and maintenance of the systems. Given that blockchain systems are decentralized systems, their maintenance and developmental funding should also be void of centralization risks. Therefore, secure and "community-inclusive" long-term sustainability of fundi
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On the sustainability of blockchain funding
470
should neither rely on "trusted parties or powerful minority" for their operations, nor introduce such centralisation tendencies into blockchain systems. On the other hand, real-world blockchain systems require steady funding for continuous development and maintenance of the systems. Given that blockchain systems are decentralized systems, their maintenance and developmental funding should also be void of centralization risks. Therefore, secure and "community-inclusive" long-term sustainability of fundi
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On the sustainability of blockchain funding
471
ng is critical for the health of blockchain platforms. In this work, for the first time, we provide a systematic exposition of blockchain development funding, planning, manage- ment, and disbursement mechanisms aka "treasury systems" (for cryptocurrencies and blockchain systems). Drawing from existing literature, we identify and categorise various treasury models, thereby enabling an exploration of their properties, benefits and drawbacks. Particularly, we perform an evaluation of real-world cryptocurren
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On the sustainability of blockchain funding
472
ng is critical for the health of blockchain platforms. In this work, for the first time, we provide a systematic exposition of blockchain development funding, planning, manage- ment, and disbursement mechanisms aka "treasury systems" (for cryptocurrencies and blockchain systems). Drawing from existing literature, we identify and categorise various treasury models, thereby enabling an exploration of their properties, benefits and drawbacks. Particularly, we perform an evaluation of real-world cryptocurren
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On the sustainability of blockchain funding
473
cy treasury system of top cryptocurrencies e.g., Dash governance system, and ZCash Foundation. Finally, we briefly discuss desired properties of decentralised treasury systems and provide suggestions for improvement or alternative solutions to existing systems or implementations. Index Terms—blockchain, sustainability, funding, treasury I. INTRODUCTION Blockchain technology has pioneered a new consen- sus approach to build a distributed public ledger globally. Blockchains have become largely ubiquitous
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On the sustainability of blockchain funding
474
cy treasury system of top cryptocurrencies e.g., Dash governance system, and ZCash Foundation. Finally, we briefly discuss desired properties of decentralised treasury systems and provide suggestions for improvement or alternative solutions to existing systems or implementations. Index Terms—blockchain, sustainability, funding, treasury I. INTRODUCTION Blockchain technology has pioneered a new consen- sus approach to build a distributed public ledger globally. Blockchains have become largely ubiquitous
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On the sustainability of blockchain funding
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across various sectors, e.g., technology, academia, medicine, economics and finance, etc. Collectively, the net market capitalisation of top cryptocurrencies exceeds 200 billion USD according to CoinMarketCap. Following the success of Bitcoin, a large number of other cryptocurrencies have emerged in recent years. De- spite this increase in the number of cryptocurrencies, se- cure and "community-inclusive" long-term sustainability of maintenance and developmental funding of cryptocurrencies remains a ser
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On the sustainability of blockchain funding
476
across various sectors, e.g., technology, academia, medicine, economics and finance, etc. Collectively, the net market capitalisation of top cryptocurrencies exceeds 200 billion USD according to CoinMarketCap. Following the success of Bitcoin, a large number of other cryptocurrencies have emerged in recent years. De- spite this increase in the number of cryptocurrencies, se- cure and "community-inclusive" long-term sustainability of maintenance and developmental funding of cryptocurrencies remains a ser
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On the sustainability of blockchain funding
477
ious issue for existing cryptocurrencies. Real- world blockchain systems require continuous maintenance, developmental projects and steady funding for continuous growth of the systems. Ideally, for blockchain systems, maintenance and develop- mental funding should be decentralised. Given that blockchain systems are distributed/decentralised systems, therefore, its solutions (and by extension sustenance mechanisms) should be void of centralisation risks. That is, blockchain solu- tions should not rely on
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On the sustainability of blockchain funding
478
ious issue for existing cryptocurrencies. Real- world blockchain systems require continuous maintenance, developmental projects and steady funding for continuous growth of the systems. Ideally, for blockchain systems, maintenance and develop- mental funding should be decentralised. Given that blockchain systems are distributed/decentralised systems, therefore, its solutions (and by extension sustenance mechanisms) should be void of centralisation risks. That is, blockchain solu- tions should not rely on
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On the sustainability of blockchain funding
479
"trusted parties or powerful mi- nority" for their operations or introduce such (centralisation) tendencies into blockchain systems. Similarly, solutions on blockchain systems ought to be compatible with core features of blockchain systems, such as tamper-proof, decentralisation, disintermediation, secure, and community-inclusive (open to all), etc. Our contributions. In the literature, the study of blockchain sustainability mainly focuses on the environmental sustain- ability and energy consumptions; n
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On the sustainability of blockchain funding
480
amely, proof-of-X, where X is some resource, stake, or combination of resources and stake. Whereas, funding sustainability is an issue that has been overlooked by the research community. Despite the increase in the number of cryptocurrencies, secure sustainability of maintenance and developmental funding of cryptocurrencies remains a serious issue. Real-world blockchain platforms require continuous maintenance, developmental projects and steady funding for continuous growth. Traditionally, blockchain pla
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On the sustainability of blockchain funding
481
tforms are developed (and funded) by "founders", who are either developers, investors, researchers, etc., and typically they are responsible for driving the direction and growth of the platforms. However, in recent times, an alternative funding and decision making mechanism for blockchain systems is the treasury system [1]. A treasury system is a self-sustenance mechanism for the advancement of blockchain systems [2]. The treasury system is a decentralised, collaborative decision-making mechanism for cryp
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On the sustainability of blockchain funding
482
tforms are developed (and funded) by "founders", who are either developers, investors, researchers, etc., and typically they are responsible for driving the direction and growth of the platforms. However, in recent times, an alternative funding and decision making mechanism for blockchain systems is the treasury system [1]. A treasury system is a self-sustenance mechanism for the advancement of blockchain systems [2]. The treasury system is a decentralised, collaborative decision-making mechanism for cryp
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On the sustainability of blockchain funding
483
tocurrencies and blockchain systems. We examine existing development funding and management systems (viz-a-viz treasury systems) found in real-world cryp- tocurrencies and evaluate them with a view to identifying their strengths and weaknesses and provide suggestions for improvement (towards achieving solutions which are com- patible with core blockchain features). Briefly, we remark that at the core of a truly decentralised treasury system are: regular and "secure" source(s) of funds, community-inclusiv
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On the sustainability of blockchain funding
484
tocurrencies and blockchain systems. We examine existing development funding and management systems (viz-a-viz treasury systems) found in real-world cryp- tocurrencies and evaluate them with a view to identifying their strengths and weaknesses and provide suggestions for improvement (towards achieving solutions which are com- patible with core blockchain features). Briefly, we remark that at the core of a truly decentralised treasury system are: regular and "secure" source(s) of funds, community-inclusiv
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On the sustainability of blockchain funding
485
e collaborative decision-making (with facilities to optimise col- lective intelligence and experience), absence/minimisation of centralisation risks, and (possibly) an enforcement mechanism to ensure compliance with community-wide decisions. It is important to note that a proportional amount of work in this area stem from non-academic venues and sources (due to the ubitquitous nature of cryptocurrencies). Particularly, this is one area of research where practice seem to be ahead of theory [3]. An impor
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On the sustainability of blockchain funding
486
e collaborative decision-making (with facilities to optimise col- lective intelligence and experience), absence/minimisation of centralisation risks, and (possibly) an enforcement mechanism to ensure compliance with community-wide decisions. It is important to note that a proportional amount of work in this area stem from non-academic venues and sources (due to the ubitquitous nature of cryptocurrencies). Particularly, this is one area of research where practice seem to be ahead of theory [3]. An impor
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On the sustainability of blockchain funding
487
tant portion of resources for the research comes from official websites of cryptocurrencies or third-party service providers (e.g., Coinmarketcap), official and unofficial chat forums (e.g., Reddit, Medium), mailing lists, Wiki pages, GitHub, etc. Roadmap. The remainder of this work is divided into sections described as follows: Section II provides a high-level descrip- tion of treasury systems for cryptocurrencies. In Section III, we discuss various funding sources for blockchain/cryptocurrency maintena
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On the sustainability of blockchain funding
488
tant portion of resources for the research comes from official websites of cryptocurrencies or third-party service providers (e.g., Coinmarketcap), official and unofficial chat forums (e.g., Reddit, Medium), mailing lists, Wiki pages, GitHub, etc. Roadmap. The remainder of this work is divided into sections described as follows: Section II provides a high-level descrip- tion of treasury systems for cryptocurrencies. In Section III, we discuss various funding sources for blockchain/cryptocurrency maintena
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On the sustainability of blockchain funding
489
nce and development. Section IV provides an in- sightful description and categorisation of the various trea- sury models found on existing cryptocurrencies and beyond. In Sections V, VI we explore known treasury systems for cryptocurrencies by analysing details of their operations, features, strengths and weaknesses. We examine how these pioneer blockchain platforms address pertinent problems such as decision-making participants and rules, and privacy, fund utilisation, etc. (and their relevance towards d
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On the sustainability of blockchain funding
490
nce and development. Section IV provides an in- sightful description and categorisation of the various trea- sury models found on existing cryptocurrencies and beyond. In Sections V, VI we explore known treasury systems for cryptocurrencies by analysing details of their operations, features, strengths and weaknesses. We examine how these pioneer blockchain platforms address pertinent problems such as decision-making participants and rules, and privacy, fund utilisation, etc. (and their relevance towards d
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On the sustainability of blockchain funding
491
eveloping secure treasury systems for sustainable blockchain technologies). Finally, we conclude the report with a brief summary of key findings and insights, as well as recommendations for improvement and future treasury systems in Section VIII. II. TREASURY SYSTEM OVERVIEW Simply put, a treasury system is a "self-sustenance" mech- anism for blockchain platforms (particularly cryptocurrenies). Treasury on cryptocurrencies encompasses funding source, development, maintenance and advancement of the under
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On the sustainability of blockchain funding
492
eveloping secure treasury systems for sustainable blockchain technologies). Finally, we conclude the report with a brief summary of key findings and insights, as well as recommendations for improvement and future treasury systems in Section VIII. II. TREASURY SYSTEM OVERVIEW Simply put, a treasury system is a "self-sustenance" mech- anism for blockchain platforms (particularly cryptocurrenies). Treasury on cryptocurrencies encompasses funding source, development, maintenance and advancement of the under
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On the sustainability of blockchain funding
493
lying cryptocurrency [2], as well as decision-making, and long- term sustainability. In blockchain technologies, a treasury system is a decentralised means of achieving and ensuring continued existence and improvement of its parent-system (e.g., cryptocurrency) by providing a regular source of funding for projects relevant to the survival and growth of the system. These projects include marketing, software development, legal fees, advertising and publicity, etc. Typically, a treasury system covers propos
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On the sustainability of blockchain funding
494
lying cryptocurrency [2], as well as decision-making, and long- term sustainability. In blockchain technologies, a treasury system is a decentralised means of achieving and ensuring continued existence and improvement of its parent-system (e.g., cryptocurrency) by providing a regular source of funding for projects relevant to the survival and growth of the system. These projects include marketing, software development, legal fees, advertising and publicity, etc. Typically, a treasury system covers propos
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On the sustainability of blockchain funding
495
al submissions (and discus- sions/feedbacks), community-inclusive collaborative decision- making mechanism for reaching decisions on proposals, and a securely reliable and sustainable means of funding for the treasury. Furthermore, treasury parameters and features should be compatible with, and reflect real-life choices and scenarios in which the blockchain community/proposers are expected to function. For example, a potential period for treasury systems is 30 days (one month) expressed in corresponding n
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On the sustainability of blockchain funding
496
umber of blocks in the blockchain. A justification for such a choice is its practicality and compatibility with the real-world (e.g., slalaries are paid monthly), as well as other benefits (e.g., suf- ficeintly reasonable time for planning, meetings, discussions, decision-making, etc.) it offers [2]. Additionally, we highlight below, pertinent issues that are essential to treasury system. First, a collaborative decision-making mechanism e.g., a voting scheme. Treasury systems should integrate mechanisms
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On the sustainability of blockchain funding
497
umber of blocks in the blockchain. A justification for such a choice is its practicality and compatibility with the real-world (e.g., slalaries are paid monthly), as well as other benefits (e.g., suf- ficeintly reasonable time for planning, meetings, discussions, decision-making, etc.) it offers [2]. Additionally, we highlight below, pertinent issues that are essential to treasury system. First, a collaborative decision-making mechanism e.g., a voting scheme. Treasury systems should integrate mechanisms
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On the sustainability of blockchain funding
498
that facilitates community-inclusive collaborative decision- making in order to maximise the collective-intelligence of the cryptocurrency community in particular and blockchain ecosystem at large. In addition to collective-decision mak- ing, flexible voting rules, that reflect the peculiarities of the blockchain rather than general voting rules, is important to the utility of treasury systems. For instance, a simple majority voting rule may not suffice for all situations, especially, for high-risk propo
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On the sustainability of blockchain funding
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