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Strategy-proof social choice with exogenous indifference classes

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  • Sato, Shin
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    Abstract

    There are many situations where the indifference classes of the agents' preferences are exogenously given. We present a framework for dealing with such situations and find that the cardinality of the set S, which consists of alternatives that every agent ranks strictly, is critical to the construction of a strategy-proof social choice function; if S>=3, then strategy-proofness implies dictatorship, if S=2, then strategy-proofness and efficiency imply dictatorship, and if S

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    Bibliographic Info

    Article provided by Elsevier in its journal Mathematical Social Sciences.

    Volume (Year): 57 (2009)
    Issue (Month): 1 (January)
    Pages: 48-57

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    Handle: RePEc:eee:matsoc:v:57:y:2009:i:1:p:48-57

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    Web page: http://www.elsevier.com/locate/inca/505565

    Related research

    Keywords: Exogenous indifference class Social choice function Strategy-proofness;

    References

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    1. ASWAL, Navin & CHATTERJI, Shurojit & SEN, Arunava, 1999. "Dictatorial domains," CORE Discussion Papers 1999040, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Tayfun Sonmez, 1999. "Strategy-Proofness and Essentially Single-Valued Cores," Econometrica, Econometric Society, vol. 67(3), pages 677-690, May.
    3. Lars-Gunnar Svensson, 1999. "Strategy-proof allocation of indivisible goods," Social Choice and Welfare, Springer, vol. 16(4), pages 557-567.
    4. Szilvia Papai, 2000. "Strategyproof Assignment by Hierarchical Exchange," Econometrica, Econometric Society, vol. 68(6), pages 1403-1434, November.
    5. Bogomolnaia, Anna & Moulin, Herve & Stong, Richard, 2003. "Collective Choice under Dichotomous Preferences," Working Papers 2003-09, Rice University, Department of Economics.
    6. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
    7. Bogomolnaia, Anna & Deb, Rajat & Ehlers, Lars, 2005. "Strategy-proof assignment on the full preference domain," Journal of Economic Theory, Elsevier, vol. 123(2), pages 161-186, August.
    8. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
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    Cited by:
    1. repec:ksb:journl:v:2:y:2009:i:1:p:42-66 is not listed on IDEAS
    2. Islam, Jamal & Mohajan, Haradhan & Moolio, Pahlaj, 2010. "Methods of voting system and manipulation of voting," MPRA Paper 50854, University Library of Munich, Germany, revised 06 May 2010.
    3. Jamal Nazrul Islam & Haradhan Kumar Mohajan & Pahlaj Moolio, 2009. "Political Economy and Social Welfare with Voting Procedure," KASBIT Journal of Management & Social Science, Khadim Ali Shah Bukhari Institute of Technology (KASBIT), vol. 2, pages 42-66, December.

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