Probabilistic strategy-proof rules over single-peaked domains

Hans Peters, Souvik Roy (), Arunava Sen and A.J.A. Storcken
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A.J.A. Storcken: Quantitative Economics

No 40, Research Memorandum from Maastricht University, Graduate School of Business and Economics (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.

Date: 2013-01-01
New Economics Papers: this item is included in nep-gth and nep-mic
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Journal Article: Probabilistic strategy-proof rules over single-peaked domains (2014)
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Persistent link: https://EconPapers.repec.org/RePEc:unm:umagsb:2013040

DOI: 10.26481/umagsb.2013040

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