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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 des Ponts ParisTech - 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.

Suggested Citation

  • 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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    References listed on IDEAS

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    1. Kim C. Border & J. S. Jordan, 1983. "Straightforward Elections, Unanimity and Phantom Voters," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(1), pages 153-170.
    2. d'Aspremont, Claude & Gerard-Varet, Louis-Andre, 1979. "Incentives and incomplete information," Journal of Public Economics, Elsevier, vol. 11(1), pages 25-45, February.
    3. Elena Grigorieva & P. Herings & Rudolf Müller & Dries Vermeulen, 2007. "The private value single item bisection auction," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(1), pages 107-118, January.
    4. Salvador Barberà, 2001. "An introduction to strategy-proof social choice functions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 619-653.
    5. Robert J. Aumann & Sergiu Hart, 2003. "Long Cheap Talk," Econometrica, Econometric Society, vol. 71(6), pages 1619-1660, November.
      • Robert J. Aumann & Sergiu Hart, 2002. "Long Cheap Talk," Discussion Paper Series dp284, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem, revised Nov 2002.
    6. Nahum D. Melumad & Toshiyuki Shibano, 1991. "Communication in Settings with No. Transfers," RAND Journal of Economics, The RAND Corporation, vol. 22(2), pages 173-198, Summer.
    7. Farrell, Joseph & Gibbons, Robert, 1989. "Cheap talk can matter in bargaining," Journal of Economic Theory, Elsevier, vol. 48(1), pages 221-237, June.
    8. Martimort, David & Semenov, Aggey, 2006. "Continuity in mechanism design without transfers," Economics Letters, Elsevier, vol. 93(2), pages 182-189, November.
    9. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
    10. Ehlers, Lars & Peters, Hans & Storcken, Ton, 2002. "Strategy-Proof Probabilistic Decision Schemes for One-Dimensional Single-Peaked Preferences," Journal of Economic Theory, Elsevier, vol. 105(2), pages 408-434, August.
    11. Guesnerie, Roger & Laffont, Jean-Jacques, 1984. "A complete solution to a class of principal-agent problems with an application to the control of a self-managed firm," Journal of Public Economics, Elsevier, vol. 25(3), pages 329-369, December.
    12. Muysken, J. & Rutten, T., 2002. "Disability in the Netherlands: another dutch disease?," Research Memorandum 051, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    13. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-1451, November.
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