Coincidence theorems for families of multimaps and their applications to equilibrium problems

Lai-Jiu Lin and Hsin I Chen

Abstract and Applied Analysis, 2003, vol. 2003, 1-15

Abstract:

We apply some continuous selection theorems to establish coincidence theorems for a family of multimaps under various conditions. Then we apply these coincidence theorems to study the equilibrium problem with m families of players and 2 m families of constraints on strategy sets. We establish the existence theorems of equilibria of this problem and existence theorem of equilibria of abstract economics with two families of players.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:214318

DOI: 10.1155/S1085337503210034

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