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Relationships between Non-Bossiness and Nash Implementability

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Author Info
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.

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Paper provided by Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP) in its series Discussion Papers in Economics and Business with number 05-33.

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Length: 12 pages
Date of creation: Dec 2005
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Handle: RePEc:osk:wpaper:0533

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Related research
Keywords: Non-Bossiness Individual Monotonicity Monotonicity Weak Monotonic Closedness.

Find related papers by 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-Making and Implementation

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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    Other versions:
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    Other versions:
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  12. Dasgupta, Partha S & Hammond, Peter J & Maskin, Eric S, 1979. "The Implementation of Social Choice Rules: Some General Results on Incentive Compatibility," Review of Economic Studies, Blackwell Publishing, vol. 46(2), pages 185-216, April. [Downloadable!] (restricted)
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