Nash equilibria of games with monotonic best replies
AbstractWe introduce notions of increasingness for the best reply of a game that capture properly the intuitive idea of complementarity among players’ strategies. We show, by generalizing the fixpoint theorems of Veinott and Zhou, that the Nash sets of our games with increasing best replies are nonempty complete lattices. Hence we extend the class of games with strategic complementarities.
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Bibliographic InfoPaper provided by Department of Economics - University Roma Tre in its series Departmental Working Papers of Economics - University 'Roma Tre' with number 0108.
Date of creation: 2009
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Complementarity; supermodular games; fixpoint theorem; Nash equilibria;
Find related papers by JEL classification:
- C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
- C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
This paper has been announced in the following NEP Reports:
- NEP-ALL-2010-01-10 (All new papers)
- NEP-GTH-2010-01-10 (Game Theory)
- NEP-MIC-2010-01-10 (Microeconomics)
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- Elena Antoniadou, 2007. "Comparative Statics for the Consumer Problem," Economic Theory, Springer, vol. 31(1), pages 189-203, April.
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