Browsing by Subject "Fixed point theory"

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    Complementarities and the existence of Strong Berge equilibrium
    (EDP Sciences, 2014) Keskin, K.; Sağlam, Ç.
    This paper studies the existence and the order structure of strong Berge equilibrium, a refinement of Nash equilibrium, for games with strategic complementarities a la strong Berge. It is shown that the equilibrium set is a nonempty complete lattice. Moreover, we provide a monotone comparative statics result such that the greatest and the lowest equilibria are increasing.
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    General complementarities on complete partial orders
    (Springer International Publishing, 2014) Keskin, K.; Sağlam, H. Ç.; Turan, A.
    This paper proves the existence of a Nash equilibrium for extended (semi-) uniform g-modular games, i.e., non-cooperative games where the strategy space is a complete partially ordered set, and the best reply correspondence satisfies certain monotonicity requirements.
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    On the existence of berge equilibrium: an order theoretic approach
    (World Scientific Publishing, 2015) Keskin, K.; Sağlam, H. Ç.
    We propose lattice-theoretical methods to analyze the existence and the order structure of Berge equilibria (in the sense of Zhukovskii) in noncooperative games. We introduce Berge-modular games, and prove that the set of Berge equilibrium turns out to be a complete lattice. © 2015 World Scientific Publishing Company.