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, issue 5, 295-309

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 2m 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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https://doi.org/10.1155/S1085337503210034

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2003:y:2003:i:5:p:295-309

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