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Safe implementation in mixed Nash equilibrium

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Listed:
  • Chopra, Anand
  • Gavan, Malachy James
  • Penta, Antonio

Abstract

Safe Implementation (Gavan and Penta, 2025) combines standard implementation with the requirement that the implementing mechanism is such that, if up to k agents deviate from the relevant solution concept, the outcomes that are induced are still ‘acceptable’ at every state of the world. In this paper, we study Safe Implementation of social choice correspondences in mixed Nash equilibrium. We identify a condition, Set-Comonotonicity, which is both necessary and (under mild domain restrictions) almost sufficient for this implementation notion.

Suggested Citation

  • Chopra, Anand & Gavan, Malachy James & Penta, Antonio, 2026. "Safe implementation in mixed Nash equilibrium," Journal of Mathematical Economics, Elsevier, vol. 122(C).
    • Handle: RePEc:eee:mateco:v:122:y:2026:i:c:s0304406825001132
    DOI: 10.1016/j.jmateco.2025.103196
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    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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