Séminaire

Weak Monotone Comparative Statics

Fuhito Kojima (University of Tokyo)

9 mars 2021, 14h30–16h00

Online

Economic Theory Seminar

Résumé

We develop a theory of monotone comparative statics based on weak set order, or in short weak monotone comparative statics, and identify the enabling conditions in the context of individual choices, Pareto optimal choices for a coalition of agents, and Nash equilibria of games. Compared with the existing theory based on strong set order, the conditions for weak monotone comparative statics are weaker, sometimes considerably, in terms of the structure of the choice environment and underlying preferences of agents. We apply the theory to establish existence and monotone comparative statics of Nash equilibria in games with strategic complementarities and of stable many-to-one matchings in two-sided matching problems, allowing for general preferences that accommodate indifferences and incomplete preferences. (joint with Yeon-Koo Che and Jinwoo Kim).

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