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Probabilistic strategy-proof rules over single-peaked domains

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  • Peters, Hans
  • Roy, Souvik
  • Sen, Arunava
  • Storcken, Ton

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.

Suggested Citation

  • Peters, Hans & Roy, Souvik & Sen, Arunava & Storcken, Ton, 2014. "Probabilistic strategy-proof rules over single-peaked domains," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 123-127.
    • Handle: RePEc:eee:mateco:v:52:y:2014:i:c:p:123-127
    DOI: 10.1016/j.jmateco.2014.03.008
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