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Toward general impossibility theorems in pure exchange economies

Author

Listed:
  • Miki Kato

    (Department of Social Welfare, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan)

  • Shinji Ohseto

    () (Faculty of Economics, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan)

Abstract

We study the possibility of strategy-proof and efficient mechanisms in pure exchange economies. In his remarkable paper, Zhou (1991) establishes an elegant impossibility result: there is no strategy-proof, efficient, and non-dictatorial mechanism in the two-agent case. He conjectures that there is no strategy-proof, efficient, and "non-inversely-dictatorial" mechanism in the case of three or more agents. However, we discover some counterexamples to his conjecture in the case of four or more agents. We present a new interesting open question: Is there any strategy-proof, efficient, and "non-alternately-dictatorial" mechanism?

Suggested Citation

  • Miki Kato & Shinji Ohseto, 2002. "Toward general impossibility theorems in pure exchange economies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(3), pages 659-664.
  • Handle: RePEc:spr:sochwe:v:19:y:2002:i:3:p:659-664
    Note: Received: 17 October 2000/Accepted: 20 April 2001
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    Cited by:

    1. Mizukami, Hideki & Saijo, Tatsuyoshi & Wakayama, Takuma, 2003. "Strategy-Proof Sharing," Working Papers 1170, California Institute of Technology, Division of the Humanities and Social Sciences.
    2. Ryan Tierney, 2016. "On the manipulability of eļ¬ƒcient exchange rules," ISER Discussion Paper 0987, Institute of Social and Economic Research, Osaka University.
    3. Kazuhiko Hashimoto, 2008. "Strategy-proofness versus efficiency on the Cobb-Douglas domain of exchange economies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(3), pages 457-473, October.
    4. Momi, Takeshi, 2013. "Note on social choice allocation in exchange economies with many agents," Journal of Economic Theory, Elsevier, vol. 148(3), pages 1237-1254.
    5. Serizawa, Shigehiro & Weymark, John A., 2003. "Efficient strategy-proof exchange and minimum consumption guarantees," Journal of Economic Theory, Elsevier, vol. 109(2), pages 246-263, April.
    6. Leroux, Jistin, 2004. "Strategy-Proofness and Efficiency Are Incompatible in Production Economies," Working Papers 2004-07, Rice University, Department of Economics.
    7. Miki Kato & Shinji Ohseto, 2004. "Non-Dummy Agents in Pure Exchange Economies," The Japanese Economic Review, Japanese Economic Association, vol. 55(2), pages 212-220.
    8. Ju, Biung-Ghi, 2005. "Strategy-proof risk sharing," Games and Economic Behavior, Elsevier, vol. 50(2), pages 225-254, February.
    9. Leroux, Justin, 2004. "Strategy-proofness and efficiency are incompatible in production economies," Economics Letters, Elsevier, vol. 85(3), pages 335-340, December.
    10. Jin Li & Jingyi Xue, 2013. "Egalitarian division under Leontief Preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 597-622, November.

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