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Strategy-proofness versus efficiency on restricted domains of exchange economies

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  • James Schummer

    (Department of Economics, University of Rochester, Rochester, NY 14627, USA)

Abstract

Strategy-proofness has been shown to be a strong property, particularly on large domains of preferences. We therefore examine the existence of strategy-proof and efficient solutions on restricted, 2-person domains of exchange economies. On the class of 2-person exchange economies in which agents have homothetic, strictly convex preferences we show, as Zhou (1991) did for a larger domain, that such a solution is necessarily dictatorial. As this proof requires preferences exhibiting high degrees of complementarity, our search continues to a class of linear preferences. Even on this "small" domain, the same negative result holds. These two results are extended to many superdomains, including Zhou's.

Suggested Citation

  • James Schummer, 1996. "Strategy-proofness versus efficiency on restricted domains of exchange economies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 14(1), pages 47-56.
  • Handle: RePEc:spr:sochwe:v:14:y:1996:i:1:p:47-56 Note: Received: 9 June 1995/Accepted: 8 January 1996
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Erlanson, Albin & Szwagrzak, Karol, 2013. "Strategy-Proof Package Assignment," Working Papers 2013:43, Lund University, Department of Economics.
    2. Shigehiro Serizawa, 2006. "Pairwise Strategy-Proofness and Self-Enforcing Manipulation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(2), pages 305-331, April.
    3. James Schummer, 1999. "Almost-dominant Strategy Implementation," Discussion Papers 1278, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    4. Cho, Wonki Jo, 2014. "Impossibility results for parametrized notions of efficiency and strategy-proofness in exchange economies," Games and Economic Behavior, Elsevier, vol. 86(C), pages 26-39.
    5. Schummer, James & Vohra, Rakesh V., 2002. "Strategy-proof Location on a Network," Journal of Economic Theory, Elsevier, vol. 104(2), pages 405-428, June.
    6. Ryan Tierney, 2016. "On the manipulability of efficient exchange rules," ISER Discussion Paper 0987, Institute of Social and Economic Research, Osaka University.
    7. Pablo Amorós, 2002. "Single-peaked preferences with several commodities," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(1), pages 57-67.
    8. Salvador Barberà, 2010. "Strategy-proof social choice," UFAE and IAE Working Papers 828.10, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    9. Thomson, William, 2005. "Divide-and-permute," Games and Economic Behavior, Elsevier, vol. 52(1), pages 186-200, July.
    10. Manjunath, Vikram, 2016. "Fractional matching markets," Games and Economic Behavior, Elsevier, vol. 100(C), pages 321-336.
    11. Goswami, Mridu Prabal & Sen, Arunava & Mitra, Manipushpak, 2014. "Strategy-proofness and Pareto-efficiency in quasi-linear exchange economies," Theoretical Economics, Econometric Society, vol. 9(2), May.
    12. Serizawa, Shigehiro & Weymark, John A., 2003. "Efficient strategy-proof exchange and minimum consumption guarantees," Journal of Economic Theory, Elsevier, pages 246-263.
    13. Leroux, Jistin, 2004. "Strategy-Proofness and Efficiency Are Incompatible in Production Economies," Working Papers 2004-07, Rice University, Department of Economics.
    14. Biung-Ghi Ju, 2003. "Strategy-Proof Risk Sharing," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200305, University of Kansas, Department of Economics, revised Apr 2003.
    15. William Thomson, 2006. "Children crying at birthday parties. Why? Fairness and incentives for cake division problems," RCER Working Papers 526, University of Rochester - Center for Economic Research (RCER).
    16. Papai, Szilvia, 2003. "Strategyproof exchange of indivisible goods," Journal of Mathematical Economics, Elsevier, vol. 39(8), pages 931-959, November.
    17. William Thomson, 2007. "Children Crying at Birthday Parties. Why?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(3), pages 501-521, June.

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