Browsing by Subject "Supermodularity"

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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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    Odds supermodularity and the Luce rule
    (Academic Press, 2021-03) Doğan, Serhat; Yıldız, Kemal
    We present a characterization of the Luce rule in terms of positivity and a new choice axiom called odds supermodularity that strengthens the regularity axiom. This new characterization illuminates a connection that goes unnoticed, and sheds light on the behavioral underpinnings of the Luce rule and its extensions from a different perspective. We show that odds supermodularity per se characterizes a structured extension of the Luce rule that accommodates zero probability choices. We identify the random choice model characterized via a stochastic counterpart of Plott (1973)'s path independence axiom, which strengthens odds supermodularity.
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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.