An ℝ-equilibrium point in an n-person game with constraints

An ℝ-equilibrium point in an n-person game with constraints

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Article ID: iaor1994244
Country: India
Volume: 13
Issue: 3
Start Page Number: 427
End Page Number: 436
Publication Date: Sep 1992
Journal: Journal of Information & Optimization Sciences
Authors:
Abstract:

In this paper, an •-noncooperative equilibrium point with •≥0 in a constrained n-person game is investigated. The paper shows that there exists and •-equilibrium point in the n-person game if and only if some self-valued mapping has a fixed point. Then, using Ekeland’s theorem, it discusses conditions under which there exists a fixed point of the extended contraction set-valued mapping.

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