论文标题

平衡问题的单调比较静态

Monotone Comparative Statics for Equilibrium Problems

论文作者

Galichon, Alfred, Samuelson, Larry, Vernet, Lucas

论文摘要

我们介绍了对应关系的替代性概念,并建立了单调比较静态结果,统一结果,例如M-Matrices,Berry,Berry,Gandhi和Haile对需求系统的识别,单调比较统计数据的识别,以及无需转移游戏的核心游戏结构(Gale and Gale and Shapley)以及Transfley和Transfress(demange)(Demange)(Demange)(Demange)(Demange)(Demange)(Demange)(Demange)(Demange)(Demange)(Demange)(Demange)(Demange)(Demange)。更具体地说,我们介绍了“统一的总替代品”和“非反转性”的概念,并表明,如果Q是一组价格p定义的供应信,这是R^n的Sublattice,并且Q满足了这两个属性,那么Q供应向量Q的一组价格在Q中增加(在Q中)在Q上增加(在Q中);它是P的sublattice。

We introduce a notion of substitutability for correspondences and establish a monotone comparative static result, unifying results such as the inverse isotonicity of M-matrices, Berry, Gandhi and Haile's identification of demand systems, monotone comparative statics, and results on the structure of the core of matching games without transfers (Gale and Shapley) and with transfers (Demange and Gale). More specifically, we introduce the notions of 'unified gross substitutes' and 'nonreversingness' and show that if Q is a supply correspondence defined on a set of prices P which is a sublattice of R^N, and Q satisfies these two properties, then the set of prices yielding supply vector q is increasing (in the strong set order) in q; and it is a sublattice of P.

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