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28
votes
6answers
2k views

Is there a truly general voting impossibility theorem that applies to real elections?

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 ...
0
votes
2answers
289 views

What does Arrow's theorem say about Kaldor-Hicks social welfare functions with von Neumann-Morgenstern utility? [closed]

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
votes
2answers
3k views

Seeking a solution algorithm to the 3-partition problem

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
votes
0answers
141 views

Forcing the existence of a Condorcet Winner

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 ...
6
votes
3answers
870 views

Mathematicians working on social choice theory

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