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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
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
Date of revision:
Contact details of provider:
Postal: Via Silvio d'Amico 77, - 00145 Rome Italy
Phone: +39 06 57114612
Fax: +39 06 57114771
Web page: http://host.uniroma3.it/dipartimenti/economia/it/
More information through EDIRC
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)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Zhou Lin, 1994. "The Set of Nash Equilibria of a Supermodular Game Is a Complete Lattice," Games and Economic Behavior, Elsevier, vol. 7(2), pages 295-300, September.
- CALCIANO, Filippo L., 2007.
"Games with complementarities,"
CORE Discussion Papers
2007016, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Filippo L., CALCIANO, 2007. "Games with Complementarities," Discussion Papers (ECON - DÃ©partement des Sciences Economiques) 2007011, Université catholique de Louvain, Département des Sciences Economiques.
- Elena Antoniadou, 2007. "Comparative Statics for the Consumer Problem," Economic Theory, Springer, vol. 31(1), pages 189-203, April.
- Vives, Xavier, 1990.
"Nash equilibrium with strategic complementarities,"
Journal of Mathematical Economics,
Elsevier, vol. 19(3), pages 305-321.
- Milgrom, Paul & Shannon, Chris, 1994.
"Monotone Comparative Statics,"
Econometric Society, vol. 62(1), pages 157-80, January.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Telephone for information).
If references are entirely missing, you can add them using this form.