This paper is a survey of some of the ways in which the representation theoryof the symmetric group has been used in voting theory and game theory. Inparticular, we use permutation representations that arise from the action ofthe symmetric group on tabloids to describe, for example, a surprisingrelationship between the Borda count and Kemeny rule in voting. We also explaina powerful representation-theoretic approach to working with linear symmetricsolution concepts in cooperative game theory. Along the way, we discuss newresearch questions that arise within and because of therepresentation-theoretic framework we are using.
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