<p>It is likely that there is a typo in the Figure; if Nature goes way <span class="math-container">$S$</span> with probabilty <span class="math-container">$1/10$</span> the calculations and results are consistent.</p>
<p>Hard to validate since original text of the problem or reference to where it can be found is not given.</p>

CC BY-SA 4.0
2023-07-16T14:08:02.187Z
2023-07-16T14:08:02.187Z
Giskard
<p><a href="https://i.sstatic.net/TylBk.png" rel="nofollow noreferrer"><img src="https://i.sstatic.net/TylBk.png" alt="Solution to belief" /></a></p>
<p><a href="https://i.sstatic.net/BeBaQ.png" rel="nofollow noreferrer"><img src="https://i.sstatic.net/BeBaQ.png" alt="Game" /></a></p>
<p>I am confused why the top left node has numerator (9/10x1/9) instead of (1/10x1/9) since this should be the probability of reaching this node given the strategies? Same with upper right node, why is not 1/10x8/9?</p>

CC BY-SA 4.0
2023-07-16T14:02:23.870Z
Naming the source where this calculation is given is useful both for future readers and potential answerers.
Giskard
<microeconomics><game-theory><signaling>
Signaling game (beer and quiche) and consistent beliefs
Neel Gupta
# Signaling game (beer and quiche) and consistent beliefs

(Asked by: username_0 on 2023-07-16)

[![Solution to belief](https://i.sstatic.net/TylBk.png)](https://i.sstatic.net/TylBk.png)

[![Game](https://i.sstatic.net/BeBaQ.png)](https://i.sstatic.net/BeBaQ.png)

I am confused why the top left node has numerator (9/10x1/9) instead of (1/10x1/9) since this should be the probability of reaching this node given the strategies? Same with upper right node, why is not 1/10x8/9?

**Tags:** microeconomics, game-theory, signaling

> **Comments:**
> **username_1**: Naming the source where this calculation is given is useful both for future readers and potential answerers.  

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## 1 answers

### Answer by username_1 on 2023-07-16. Score: 3

It is likely that there is a typo in the Figure; if Nature goes way $S$ with probabilty $1/10$ the calculations and results are consistent.

Hard to validate since original text of the problem or reference to where it can be found is not given.


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