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\(n\)-person credibilistic strategic game. (English) Zbl 1267.91010

Summary: This paper enlarges the scope of fuzzy-payoff game to \(n\)-person form from the previous two-person form. Based on credibility theory, three credibilistic approaches are introduced to model the behaviors of players in different decision situations. Accordingly, three new definitions of Nash equilibrium are proposed for \(n\)-person credibilistic strategic game. Moreover, existence theorems are proved for further research into credibilistic equilibrium strategies. Finally, two numerical examples are given to illustrate the significance of credibilistic equilibria in practical strategic games.

MSC:

91A10 Noncooperative games
91A06 \(n\)-person games, \(n>2\)
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