For a game specified on a set of situations by preference relations of players, the individual optimum principle is considered that is a generalization of Nash, Berge, and Pareto optimum principles. On this basis, different types of equilibria and stability of game problems are characterized and investigated.
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Translated from Kibernetika i Sistemnyi Analiz, No. 1, pp. 171–179, January–February 2009.
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Mashchenko, S.O. Individually-optimal equilibria of noncooperative games in preference relations. Cybern Syst Anal 45, 153–159 (2009). https://doi.org/10.1007/s10559-009-9086-4
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DOI: https://doi.org/10.1007/s10559-009-9086-4