original papers: Constitutional implementation

Eyal Winter () and Bezalel Peleg

Review of Economic Design, 2002, vol. 7, issue 2, 187-204

Abstract: We consider the problem of implementing a social choice correspondence H in Nash equilibrium when the constitution of the society is given by an effectivity function E. It is assumed that the effectivity function of $ H,E^{H}$, is a sub-correspondence of E. We found necessary and efficient conditions for a game form $\Gamma $ to implement H (in Nash equilibria), and to satisfy, at the same time, that $E^{\Gamma}$, the effectivity function of $\Gamma$, is a sub-correspondence of $E^{H}$ (which guarantees that $\Gamma$ is compatible with E). We also find sufficient conditions for the coincidence of the set of winning coalitions of $E^{\Gamma}$ and $ E^{H}$, and for $E^{\Gamma}=E^{H}$. All our results are sharp as is shown by suitable examples.

Keywords: Implementation; Nash equilibrium; effectivity function (search for similar items in EconPapers)
Date: 2002-10-09
Note: Received: 15 December 2000 / Accepted: 3 September 2001
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Citations: View citations in EconPapers (11)

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