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Probabilistic Strategy-Proof Rules over Single-Peaked Domains

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  • Storcken A.J.A.
  • Peters H.J.M.
  • Roy S.
  • Sen A.

    (GSBE)

Abstract

It is proved that every strategy-proof, peaks-only or unanimous, probabilistic rule defined over a minimally rich domain of single-peaked preferences is a probability mixture of strategy-proof, peaks-only or unanimous, deterministic rules over the same domain. The proof employs Farkas Lemma and the max-flow min-cut theorem for capacitated networks.

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File URL: http://pub.maastrichtuniversity.nl/31777bb9-e48b-482a-a6ab-6e8b99c31fd5
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Bibliographic Info

Paper provided by Maastricht University, Graduate School of Business and Economics (GSBE) in its series Research Memorandum with number 040.

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Date of creation: 2013
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Handle: RePEc:unm:umagsb:2013040

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