# Questions tagged [social-choice]

The social-choice tag has no usage guidance.

The social-choice tag has no usage guidance.

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Background: I will below describe a generalization of the following voting systems (what is meant by “voting system” will be defined formally below) which are occasionally used in the real world:
“...

2
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1
answer

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To recall Arrow's theorem:
Suppose we have a finite set $X$ of voters and a finite set $Y$ of candidates.
An election is a map $\phi: X \rightarrow T$ where $T$ is the space of total orderings of $Y$. ...

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Let $\mathcal{A}$ be a set of convex subsets of $\mathbb{R}^n$ and for each $A\in\mathcal{A}$ let there be an affine linear map $f_A\colon \mathbb{R}^n\rightarrow\mathbb{R}$. Moreover, assume that for ...

19
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Here's a fair-sequencing problem that doesn't quite match the usual fair-division problems. I think that, like those, the answer should also be the Thue-Morse sequence ("balanced alternation"), ...

2
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This question is loosely inspired by the following paper of Shelah on Arrow property in which he answered a question of Gil Kalai affirmatively.
Shelah, Saharon, On the Arrow property. Adv. in Appl. ...

38
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8
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The purpose of most political elections is to select from the set of candidates a predetermined number $n$ of successful candidates. (Often $n = 1$.) In brief, my question is:
Has it been proved ...

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Let $A$ be the set of all possible states of the world, let $G(A)$ be the set of all "lotteries" or "gambles", i.e. the set of all probability distributions over $A$. Now consider an individual with ...

4
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I need to divide 48 pieces of jewelry between 3 inheritors so as to give equal, or nearly equal value, to each. I have learned that this is called the 3-partition problem. I solved it for 9 pieces of ...

2
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Suppose that there is an election with three candidate and an infinite number of voters whose opinion lie in a two-dimensional issue space according to some distribution, and that voter's candidate ...

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Can someone tell me which mathematicians are actively working on social choice theory, or point to a place where they may be listed?