• Corpus ID: 250526154

Monotone Comparative Statics for Equilibrium Problems

@inproceedings{Galichon2022MonotoneCS,
  title={Monotone Comparative Statics for Equilibrium Problems},
  author={Alfred Galichon and Larry Samuelson and Lucas Vernet},
  year={2022}
}
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… 

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