Geodesic
Complementarities and the existence of strong Berge equilibrium
RAIRO - Operations Research - Recherche Opérationnelle, Tome 48 (2014) no. 3, pp. 373-379

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This paper studies the existence and the order structure of strong Berge equilibrium, a refinement of Nash equilibrium, for games with strategic complementarities à 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.

DOI : 10.1051/ro/2014012
Classification : 91B52, 47H10
Keywords: strong Berge equilibrium, refinement, games with strategic complementarities, fixed point theory, supermodularity 
@article{RO_2014__48_3_373_0,
     author = {Keskin, Kerim and \c{C}a\u{g}r{\i} Sa\u{g}lam, H.},
     title = {Complementarities and the existence of strong {Berge} equilibrium},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {373--379},
     publisher = {EDP-Sciences},
     volume = {48},
     number = {3},
     year = {2014},
     doi = {10.1051/ro/2014012},
     mrnumber = {3264384},
     zbl = {1296.91012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ro/2014012/}
}
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Keskin, Kerim; Çağrı Sağlam, H. Complementarities and the existence of strong Berge equilibrium. RAIRO - Operations Research - Recherche Opérationnelle, Tome 48 (2014) no. 3, pp. 373-379. doi: 10.1051/ro/2014012

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