Implementation in Mixed Nash Equilibrium

Claudio Mezzetti and Ludovic Renou

The Warwick Economics Research Paper Series (TWERPS) from University of Warwick, Department of Economics

Abstract: A mechanism implements a social choice correspondence f in mixed Nash equilibrium if at any preference profile, the set of all pure and mixed Nash equilibrium outcomes coincides with the set of f-optimal alternatives at that preference profile. This definition generalizes Maskin’s definition of Nash implementation in that it does not require each optimal alternative to be the outcome of a pure Nash equilibrium. We show that the condition of weak set-monotonicity, a weakening of Maskin’s monotonicity, is necessary for implementation. We provide sufficient conditions for implementation and show that important social choice correspondences that are not Maskin monotonic can be implemented in mixed Nash equilibrium.

Keywords: implementation; Maskin monotonicity; pure and mixed Nash equilibrium; weak set-monotonicity; social choice correspondence (search for similar items in EconPapers)
JEL-codes: C72 D71 (search for similar items in EconPapers)
Date: 2009
New Economics Papers: this item is included in nep-cdm and nep-gth
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (15)

Downloads: (external link)
https://warwick.ac.uk/fac/soc/economics/research/w ... s/2009/twerp_902.pdf

Related works:
Journal Article: Implementation in mixed Nash equilibrium (2012)
Working Paper: Implementation in Mixed Nash Equilibrium (2012)
Working Paper: Implementation in Mixed Nash Equilibrium (2010)
Working Paper: Implementation in Mixed Nash Equilibrium (2009)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wrk:warwec:902

Access Statistics for this paper

More papers in The Warwick Economics Research Paper Series (TWERPS) from University of Warwick, Department of Economics Contact information at EDIRC.
Bibliographic data for series maintained by Margaret Nash ().