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Nash-type equilibrium theorems and competitive Nash-type equilibrium theorems

✍ Scribed by Lai-Jiu Lin; Cheng Shih Feng

Book ID
104352433
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
738 KB
Volume
44
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper, we consider two types of equilibrium problems. We study the constrained Nash-type equilibrium problems with multivaiued payoff functions. We also study the competitive Nash-type equilibrium problems with multivaiued payoff functions. In these two equilibrium problems, we want to find a strategy combination such that each player wishes to find a minimal loss from his multivaiued payoff function. We use a fixed-point theorem of Park to prove the existence results of these two types of equilibrium problems.

πŸ“œ SIMILAR VOLUMES

Remarks on acyclic versions of generaliz
Remarks on acyclic versions of generalized von Neumann and Nash equilibrium theorems
✍ Sehie Park πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 564 KB

A fixed-point theorem on compact compositions of acyclic maps on admissible (in the sense of Klee) convex subset of a t.v.s. is applied to obtain a cyclic coincidence theorem for acyclic maps, generalized "onNeumann type intersection theorems, the Nash type equilibrium theorems, and the "onNeumann m