Games with complementarities

Filippo Calciano ()

No 2007016, LIDAM Discussion Papers CORE from Université catholique de Louvain, Center for Operations Research and Econometrics (CORE)

Abstract: We introduce a class of games with complementarities that has the quasisupermodular games, hence the supermodular games, as a special case. Our games retain the main property of quasisupermodular games: the Nash set is a nonempty complete lattice. We use monotonicity properties on the best reply that are weaker than those in the literature, as well as pretty simple and linked with an intuitive idea of complementarity. The sufficient conditions on the payoffs are weaker than those in quasisupermodular games. We also separate the conditions implying existence of a greatest and a least Nash equilibrium from those, stronger, implying that the Nash set is a complete lattice.

Keywords: complementarity; quasisupermodularity; supermodular games; monotone comparative statics; Nash equilibria (search for similar items in EconPapers)
JEL-codes: C60 C70 C72 (search for similar items in EconPapers)
Date: 2007-03-01
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Citations: View citations in EconPapers (5)

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Working Paper: Games with Complementarities (2007)
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Persistent link: https://EconPapers.repec.org/RePEc:cor:louvco:2007016

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