English, Article, Journal or magazine article edition: Implementation in Mixed Nash Equilibrium Claudio Mezzetti; Ludovic Renou

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Bookmark: http://trove.nla.gov.au/version/161096
Physical Description
  • preprint
Language
  • English

Edition details

Title
  • Implementation in Mixed Nash Equilibrium
Author
  • Claudio Mezzetti
  • Ludovic Renou
Physical Description
  • preprint
Notes
  • RePEc:wrk:warwec:902
  • 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.
  • implementation; Maskin monotonicity; pure and mixed Nash equilibrium; weak set-monotonicity; social choice correspondence
  • RePEc:lec:leecon:09/​10
Language
  • English
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