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On the constrained equilibrium problems with finite families of players

✍ Scribed by Lai-Jiu Lin; Shih Feng Cheng; Xu Yao Liu; Q.H. Ansari

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
216 KB
Volume
54
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper, we consider the equilibrium problem with ΓΏnite number of families of players such that each family may not have the same number of players and ΓΏnite number of families of constrained correspondences on the strategy sets. We also consider the case with two ΓΏnite families of constrained correspondences on the strategies sets. We demonstrate an example of our equilibrium problem. We derive a ΓΏxed point theorem for a family of multimaps and a coincidence theorem for two families of multimaps. By using these results, we establish the existence of a solution of our equilibrium problems. The results of this paper generalize some known results in the literature.

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