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math.RT2015★ 14 cited
Representation Theory of the Symmetric Group in Voting Theory and Game Theory
Karl-Dieter Crisman, Michael E. Orrison
This paper is a survey of some of the ways in which the representation theory of the symmetric group has been used in voting theory and game theory. In particular, we use permutati…
math.RT2007★ 2 cited
Voting, the symmetric group, and representation theory
Zajj Daugherty, Alexander K. Eustis, Gregory Minton +1
We show how voting may be viewed naturally from an algebraic perspective by viewing voting profiles as elements of certain well-studied -modules. By using only a han…