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An extreme point characterization of random strategy-proof social choice functions: The two alternative case

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  • Picot, Jérémy
  • Sen, Arunava
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    Abstract

    We show that every strategy-proof random social choice function is a convex combination of strategy-proof deterministic social choice functions in a two-alternative voting model. This completely characterizes all strategy-proof random social choice functions in this setting.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0165176511004599
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    Bibliographic Info

    Article provided by Elsevier in its journal Economics Letters.

    Volume (Year): 115 (2012)
    Issue (Month): 1 ()
    Pages: 49-52

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    Handle: RePEc:eee:ecolet:v:115:y:2012:i:1:p:49-52

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    Web page: http://www.elsevier.com/locate/ecolet

    Related research

    Keywords: Strategy-proofness; Random social choice functions; Extreme point characterization;

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    1. Satterthwaite, Mark Allen, 1975. "Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions," Journal of Economic Theory, Elsevier, vol. 10(2), pages 187-217, April.
    2. Barbera, S. & Sonnenschein, H., 1988. "Voting By Quota And Committee," UFAE and IAE Working Papers 95-88, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    3. Bogomolnaia, Anna & Moulin, Herve & Stong, Richard, 2003. "Collective Choice under Dichotomous Preferences," Working Papers 2003-09, Rice University, Department of Economics.
    4. Salvador Barbera & Hugo Sonnenschein & Lin Zhou, 1990. "Voting by Committees," Cowles Foundation Discussion Papers 941, Cowles Foundation for Research in Economics, Yale University.
    5. Arunava Sen, 2011. "The Gibbard random dictatorship theorem: a generalization and a new proof," SERIEs, Spanish Economic Association, vol. 2(4), pages 515-527, December.
    6. Bhaskar Dutta & Hans Peters & Arunava Sen, 2008. "Strategy-proof cardinal decision schemes," Social Choice and Welfare, Springer, vol. 30(4), pages 701-702, May.
    7. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
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