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Bayesian Improvement of the Phantom Voters Rule: An example of Dichotomic Communication

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  • Pierre Fleckinger

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

This paper studies communication mechanisms for two players with symmetric single-peaked preferences. The peaks are privately known and drawn from a uniform distribution before the agents take a collective decision. While for the general setting Moulin (1980) characterized all strategy-proof mechanisms, much remains to be known in the Bayesian framework. The example consists of a dichotomic mechanism, that yields a strictly higher ex-ante expected utility than the best "min-max" rule. The properties of the mechanism are analyzed, then limits and possible directions for generalization are discussed.

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  • Pierre Fleckinger, 2008. "Bayesian Improvement of the Phantom Voters Rule: An example of Dichotomic Communication," Post-Print hal-00641865, HAL.
    • Handle: RePEc:hal:journl:hal-00641865
    Note: View the original document on HAL open archive server: https://hal.science/hal-00641865v1
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