On the Existence of Berge Equilibrium: An Order Theoretic Approach
Kerim Keskin and
Çağrı Sağlam
International Game Theory Review (IGTR), 2015, vol. 17, issue 03, 1-9
Abstract:
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 introduceBerge-modular games, and prove that the set of Berge equilibrium turns out to be a complete lattice.
Keywords: Berge equilibrium; Berge equilibrium in the sense of Zhukovskii; supermodularity; games with strategic complementarities; Berge-modular games; fixed point theory; C62; C72 (search for similar items in EconPapers)
JEL-codes: B4 C0 C6 C7 D5 D7 M2 (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1142/S0219198915500073
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