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Strategy-proof Sharing

Author

Listed:
  • Hideki Mizukami
  • Tatsuyoshi Saijo
  • Takuma Wakayama

Abstract

We consider the problem of sharing a good, where agents prefer more to less. In this environment, we prove that a sharing rule satisfies strategy-proofness if and only if it has the quasi-constancy property:no one changes her own share by changing her announcements. Next,by constructing a system of linear equations, we provide a way to find every strategy-proof sharing rule, and identify a necessary and sufficient condition for the existence of a non-constant, strategy-proof sharing rule. Finally, we show that it is only the equal-sharing rule that satisfies strategy-proofness and symmetry.

Suggested Citation

  • Hideki Mizukami & Tatsuyoshi Saijo & Takuma Wakayama, 2003. "Strategy-proof Sharing," Discussion papers 03017, Research Institute of Economy, Trade and Industry (RIETI).
    • Handle: RePEc:eti:dpaper:03017
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    References listed on IDEAS

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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.

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    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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