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Paper #1911

Title:
Safe implementation in mixed nash equilibrium
Authors:
Anand Chopra, Malachy James Gavan and Antonio Penta
Date:
June 2025
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.
Keywords:
Implementation, mechanism design, robustness, safe implementation, mixed implementation, Set-Comonotonicity
JEL codes:
C72, D82
Area of Research:
Microeconomics

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