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Relationships between Non-Bossiness and Nash Implementability

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  • Hideki Mizukami

    (Faculty of Economics, Toyama University)

  • Takuma Wakayama

    (Graduate School of Economics, Osaka University)

Abstract

We explore the relationships between non-bossiness and Nash implementability. We provide a new domain-richness condition, weak monotonic closedness, and prove that on weakly monotonically closed domains, non-bossiness together with individual monotonicity is equivalent to monotonicity, a necessary condition for Nash implementation. The result shows an impossibility of Nash implementation in all economies except pure public goods economies, in the sense that it indicates that in all economies except pure public goods economies, it is impossible to implement bossy social choice functions in Nash equilibria, which embody the characteristics inherent in those economies.

Suggested Citation

  • Hideki Mizukami & Takuma Wakayama, 2005. "Relationships between Non-Bossiness and Nash Implementability," Discussion Papers in Economics and Business 05-33, Osaka University, Graduate School of Economics.
    • Handle: RePEc:osk:wpaper:0533
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    References listed on IDEAS

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    More about this item

    Keywords

    Non-Bossiness; Individual Monotonicity; Monotonicity; Weak Monotonic Closedness.;
    All these keywords.

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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