Safe implementation in mixed Nash equilibrium

Chopra, Anand ORCID: 0009-0003-5566-0436, Gavan, Malachy James ORCID: 0000-0002-2601-9012 and Penta, Antonio (2026) Safe implementation in mixed Nash equilibrium Journal of Mathematical Economics, 122. p. 103196. ISSN 0304-4068, 1873-1538

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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.

Item Type:	Article
Uncontrolled Keywords:	38 Economics, 3801 Applied Economics, 3803 Economic Theory, Dissemination and Implementation Research
Divisions:	Faculty of Humanities & Social Sciences Faculty of Humanities & Social Sciences > School of Management Faculty of Humanities & Social Sciences > Faculty of Humanities & Social Sci (All T&R Staff) Faculty of Humanities & Social Sciences > School of Management > Economics Faculty of Humanities & Social Sciences > School of Management > School of Management (T&R Staff)
Depositing User:	Symplectic Admin
Date Deposited:	13 Nov 2025 08:37
Last Modified:	02 Dec 2025 04:57
DOI:	10.1016/j.jmateco.2025.103196
Related Websites:	Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3195340
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