# Questions tagged [preferences]

Binary relations that reflect which states of the world an agent considers to be most desirable. Preferences are a fundamental ingredient in the axiomatic study of consumer choice decision theory.

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### Lexicographic preference relation cannot be represented by a utility function

I am stuck on the following exercise, related to preference relations and von-Neumann-Morgenstern utility function. A farmer wants to dig a well in a square field $[0,1000]\times[0,1000]$. The ...
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### What is the importance of Epstein-Zin preferences?

I've heard that there is a lot of work being done recently that applies Epstein-Zin preferences. The Wikipedia page doesn't seem to be very full. Why are Epstein-Zin preferences important? How does ...
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### What is an example of a utility function where one good is inferior?

Say the consumer has a standard convex, monotonic preference over Apples and Bananas. (Update: I'd like the preference to be as 'standard' as possible. So ideally we have diminishing MRS everywhere ...
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### What is the definition of exogenous and endogenous preferences?

Wikipedia states: Exogenous Preference -- one that comes from outside the model and is unexplained by the model. Endogenous Preference -- preferences then cannot be taken as given, but are affected ...
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### When treating a relative, normalized utility function as a pmf, what is the interpretation of Shannon entropy or Shannon information?

Suppose $\Omega$ is a set of mutually exclusive outcomes of a discrete random variable and $f$ is a utility function where $0 < f(\omega) \leq 1$, $\sum_\Omega f(\omega) = 1$, etc. When $f$ is ...
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### What is the difference between "aggregation" and a "representative agent?"

What is the difference between "aggregation" and a "representative agent?" I'm sorry if I'm not entirely clear on this question, but that's why I ask. It seems to me as if a representative agent is ...
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### Has the assumption that individuals' tastes do not change over time been rigorously challenged?

In their seminal paper De Gustibus non est Disputandum, Stigler and Becker (1977) surveyed four classes of phenomena widely believed to be inconsistent with the stability of tastes: addiction, ...
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### Fair voting procedure when there are many issues

When several people have to decide about a single yes/no issue*, the natural decision rule to use is the majority rule. But when there are many issues to decide upon, the majority rule is "unfair" ...
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### Existence of utility representation of a rational but discontinuous preference

This is related to Do discontinuous preferences imply no continuous utility function? I think the title of the above-linked question is phrased in such a way that obscures a subtly different but more ...
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### Order relations and preferences using logic

I want to understand order relations using their underlying implication mechanics and what this means for certain results, specifically looking at preference relations. Using the logical rules of ...
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