Probability calculations under the IAC hypothesis

  • Wilson M
  • Pritchard G
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Abstract

We show how powerful algorithms recently developed for counting lattice points and computing volumes of convex polyhedra can be used to compute probabilities of a wide variety of events of interest in social choice theory. Several illustrative examples are given. © 2007 Elsevier B.V. All rights reserved.

Author-supplied keywords

  • Convex polytope
  • Counting lattice points in polyhedra
  • Ehrhart quasipolynomial
  • Impartial anonymous culture
  • Social choice
  • Voting

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Authors

  • Mark C. Wilson

  • Geoffrey Pritchard

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