Safe implementation in mixed Nash equilibrium
研究了社会选择对应在混合纳什均衡下的安全实施，识别出集合共同单调性条件，该条件在温和领域限制下对此实施概念既是必要的也几乎是充分的。
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.