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Continuous virtual implementation: Complete information

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  • Jain, Ritesh
  • Lombardi, Michele

Abstract

A social choice rule (SCR) is a mapping from preference profiles to lotteries over outcomes. When preference profiles are close to being common knowledge among players, an SCR is continuously virtually fully implementable if there exists a mechanism such that all its equilibrium outcomes are arbitrarily close to the outcomes recommended by the SCR. When there are at least three players and a domain condition is satisfied, we obtain the following result: any SCR is continuously virtually fully implementable in Bayesian Nash equilibria, as well as in interim correlated rationalizable strategies, by a finite mechanism.

Suggested Citation

  • Jain, Ritesh & Lombardi, Michele, 2022. "Continuous virtual implementation: Complete information," Journal of Mathematical Economics, Elsevier, vol. 99(C).
    • Handle: RePEc:eee:mateco:v:99:y:2022:i:c:s0304406821001610
    DOI: 10.1016/j.jmateco.2021.102605
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    References listed on IDEAS

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