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Probabilistic strategy-proof rules over single-peaked domains

Author

Listed:
  • Peters, H.J.M.

    (Quantitative Economics)

  • Roy, S.

    (Quantitative Economics)

  • Sen, A.

    (Externe publicaties SBE)

  • Storcken, A.J.A.

    (Quantitative Economics)

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, H.J.M. & Roy, S. & Sen, A. & Storcken, A.J.A., 2013. "Probabilistic strategy-proof rules over single-peaked domains," Research Memorandum 040, Maastricht University, Graduate School of Business and Economics (GSBE).
    • Handle: RePEc:unm:umagsb:2013040
    DOI: 10.26481/umagsb.2013040
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    References listed on IDEAS

    as
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