<ol>
<li><p>You can draw discontinuous functions in a standard $R^2$ space. For example when you draw a floor functions (a discontinuous function), the standard coordinates are still appropriate. Just make clear what to what part the discontinuous point belongs to.
Usually, for lex. preferences, one draws only the preferred set. <a href="http://www.econ.ohio-state.edu/miyazaki/econ804/LEXICO.pdf" rel="nofollow">Here</a> you can find a graph of this kind (page 2).</p></li>
<li><p>Yes, each point is an "indifferent singleton" (if we may say so, as your set has only one element, and of course you're indifferent between the same thing). 
The infinity number of points is not a problem. When you draw a preference map (for standard preferences), there are an infinite number of possible indifference curves. The idea is just to know how many you need to make your point. If you're using a software, you can plot with colors instead of a huge number of lines...</p></li>
</ol>

CC BY-SA 3.0
2015-04-11T00:52:15.607Z
But aren't there infinitely many points then?
Stan Shunpike
CC BY-SA 3.0
2015-04-11T00:21:18.263Z
2015-04-11T13:32:35.440Z
2015-04-11T13:32:35.440Z
Yann
<p>Two Questions: </p>

<ol>
<li>Since Lexicographic preferences are not continuous, is it still appropriate to use $\Bbb{R}^n_+$ to define my coordinate axes when drawing Lexicographic preferences? If not, what should I use instead? </li>
<li>Since the indifference sets for Lexicographic preferences are singletons, how do I draw them? What's the convention? Will a single point do? </li>
</ol>

<p>(related to <strong><a href="https://economics.stackexchange.com/questions/4972/for-a-given-set-of-consumption-bundles-how-do-we-know-there-are-bundles-that-th">this question</a></strong>)</p>

<consumer-theory>
How does one graph indifference curves for a set of Lexicographic preferences?
Stan Shunpike
# How does one graph indifference curves for a set of Lexicographic preferences?

(Asked by: username_0 on 2015-04-08)

Two Questions:

1. Since Lexicographic preferences are not continuous, is it still appropriate to use $\Bbb{R}^n\_+$ to define my coordinate axes when drawing Lexicographic preferences? If not, what should I use instead?
2. Since the indifference sets for Lexicographic preferences are singletons, how do I draw them? What's the convention? Will a single point do?

(related to **[this question](https://economics.stackexchange.com/questions/4972/for-a-given-set-of-consumption-bundles-how-do-we-know-there-are-bundles-that-th)**)

**Tags:** consumer-theory


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## 1 answers

### Answer by username_1 on 2015-04-11. Score: 1 | Accepted answer

1. You can draw discontinuous functions in a standard $R^2$ space. For example when you draw a floor functions (a discontinuous function), the standard coordinates are still appropriate. Just make clear what to what part the discontinuous point belongs to.
   Usually, for lex. preferences, one draws only the preferred set. [Here](http://www.econ.ohio-state.edu/miyazaki/econ804/LEXICO.pdf) you can find a graph of this kind (page 2).
2. Yes, each point is an "indifferent singleton" (if we may say so, as your set has only one element, and of course you're indifferent between the same thing).
   The infinity number of points is not a problem. When you draw a preference map (for standard preferences), there are an infinite number of possible indifference curves. The idea is just to know how many you need to make your point. If you're using a software, you can plot with colors instead of a huge number of lines...

> **Comments:**
> **username_0**: But aren't there infinitely many points then?  

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