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Paper · arXiv

Computing Equilibrium beyond Unilateral Deviation

Most familiar equilibrium concepts, such as Nash and correlated equilibrium, guarantee only that no single player can improve their utility by deviating unilaterally. They offer no guarantees against profitable coordinated deviations by coalitions. Although the literature proposes solution concepts that provide stability against multilateral deviations (\emph{e.g.}, strong Nash and coalition-proof equilibrium), these generally fail to exist. In this paper, we study an alternative solution concept that minimizes coalitional deviation incentives, rather than requiring them to vanish, and is therefore guaranteed to exist. Specifically, we focus on minimizing the average gain of a deviating c...

AuthorsMingyang Liu, Gabriele Farina, Asuman Ozdaglar
Primary categorycs.GT
Published30 April 2026
Last updated at source30 April 2026
cs.GTcs.AIcs.CCcs.LGecon.TH
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