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IMCS/Publications/CSJM/Issues/CSJM v.12, n.3 (36), 2004/

On stability in game problems of finding Nash set

Authors: Sergey E. Bukhtoyarov, Kirill G. Kuzmin
Keywords: Finite cooperative game, concept of equilibrium, lexicographically optimal situation, Nash equilibrium situation, stability radius.

Abstract

A finite game of several players in the case of linear payoff functions is considered. Stability of the problem of finding the set of Nash equilibrium situations is investigated. The formula of the stability radius of this problem is derived. Mathematics Subject Classification 2000: 90C27, 90C29.

Belarusian State University
ave. Fr. Skoriny, 4,
Minsk, 220050, Belarus.
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