The Implementation Duality
研究非拟线性效用下匹配与实施问题中的对偶性结构,利用伽罗瓦连接扩展现有结果,为逆向选择委托代理问题和双边匹配问题提供新见解。
Conjugate duality relationships are pervasive in matching and implementation problems and provide much of the structure essential for characterizing stable matches and implementable allocations in models with quasilinear (or transferable) utility. In the absence of quasilinearity, a more abstract duality relationship, known as a Galois connection, takes the role of (generalized) conjugate duality. While weaker, this duality relationship still induces substantial structure. We show that this structure can be used to extend existing results for, and gain new insights into, adverse-selection principal-agent problems and two-sided matching problems without quasilinearity.