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JOURNALS // Matematicheskaya Teoriya Igr i Ee Prilozheniya // Archive

Mat. Teor. Igr Pril., 2013 Volume 5, Issue 2, Pages 3–45 (Mi mgta107)

This article is cited in 10 papers

Equilibrating conflicts under uncertainty. II. Analogue of a maximin

Vladislav I. Zhukovskiya, Konstantin N. Kudryavtsevb

a Moscow State University
b South Ural State University

Abstract: In this paper we formalize two of the concepts of guaranteed equilibrium in a noncooperative game under uncertainty. We prove the existence of the guaranteed equilibrium in mixed strategies. We constructed the guaranteed equilibrium in Cournot duopoly with a import.

Keywords: maximin, non-cooperative game, uncertainty, mixed strategies, Nash equilibrium, vector-valued optimums.

UDC: 519.833
BBK: 22.18



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