Nash equilibrium with discontinuous utility functions: Reny's approach extended
Author
Abstract
Suggested Citation
Download full text from publisher
References listed on IDEAS
- William Novshek, 1985.
"On the Existence of Cournot Equilibrium,"
Review of Economic Studies, Oxford University Press, vol. 52(1), pages 85-98.
- Novshek, William., 1984. "On the Existence of Cournot Equilibrium," Working Papers 517, California Institute of Technology, Division of the Humanities and Social Sciences.
- Philippe Bich, 2009. "Existence of pure Nash equilibria in discontinuous and non quasiconcave games," Post-Print halshs-00426402, HAL.
- Shannon, Chris, 1995. "Weak and Strong Monotone Comparative Statics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(2), pages 209-227, March.
- Philip J. Reny, 2016. "Nash equilibrium in discontinuous games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(3), pages 553-569, March.
- Martin Kaae Jensen, 2018.
"Aggregative games,"
Chapters, in: Luis C. Corchón & Marco A. Marini (ed.),Handbook of Game Theory and Industrial Organization, Volume I, chapter 4, pages 66-92,
Edward Elgar Publishing.
- Martin K. Jensen, 2006. "Aggregative Games," Discussion Papers 06-10, Department of Economics, University of Birmingham.
- Dubey, Pradeep & Haimanko, Ori & Zapechelnyuk, Andriy, 2006. "Strategic complements and substitutes, and potential games," Games and Economic Behavior, Elsevier, vol. 54(1), pages 77-94, January.
- Kukushkin, Nikolai S., 2015. "Cournot tatonnement in aggregative games with monotone best responses," MPRA Paper 66976, University Library of Munich, Germany.
- Martin Jensen, 2010. "Aggregative games and best-reply potentials," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(1), pages 45-66, April.
- Philip J. Reny, 1999. "On the Existence of Pure and Mixed Strategy Nash Equilibria in Discontinuous Games," Econometrica, Econometric Society, vol. 67(5), pages 1029-1056, September.
- Kukushkin, Nikolai S., 1994. "A fixed-point theorem for decreasing mappings," Economics Letters, Elsevier, vol. 46(1), pages 23-26, September.
- Milgrom, Paul & Shannon, Chris, 1994.
"Monotone Comparative Statics,"
Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
- Milgrom, P. & Shannon, C., 1991. "Monotone Comparative Statics," Papers 11, Stanford - Institute for Thoretical Economics.
- Andrew McLennan & Paulo K. Monteiro & Rabee Tourky, 2011. "Games With Discontinuous Payoffs: A Strengthening of Reny's Existence Theorem," Econometrica, Econometric Society, vol. 79(5), pages 1643-1664, September.
- Nikolai Kukushkin, 2013. "Monotone comparative statics: changes in preferences versus changes in the feasible set," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(3), pages 1039-1060, April.
- Philippe Bich, 2009. "Existence of pure Nash equilibria in discontinuous and non quasiconcave games," Documents de travail du Centre d'Economie de la Sorbonne 09061, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
- Wakker, Peter, 1988. "Continuity of Preference Relations for Separable Topologies," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(1), pages 105-110, February.
- Vives, Xavier, 1990.
"Nash equilibrium with strategic complementarities,"
Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
- Vives, X., 1988. "Nash Equilibrium With Strategic Complementarities," UFAE and IAE Working Papers 107-88, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Philippe Bich, 2009. "Existence of pure Nash equilibria in discontinuous and non quasiconcave games," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00750953, HAL.
- Nikolai S Kukushkin, 2004. "'Strategic supplements' in games with polylinear interactions," Game Theory and Information 0411008, University Library of Munich, Germany, revised 28 Feb 2005.
- Philippe Bich, 2009. "Existence of pure Nash equilibria in discontinuous and non quasiconcave games," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00426402, HAL.
- Nikolai Kukushkin, 2011. "Nash equilibrium in compact-continuous games with a potential," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(2), pages 387-392, May.
- Bergstrom, Theodore C., 1975. "Maximal elements of acyclic relations on compact sets," Journal of Economic Theory, Elsevier, vol. 10(3), pages 403-404, June.
- Marco LiCalzi & Arthur F. Veinott, 2005. "Subextremal functions and lattice programming," GE, Growth, Math methods 0509001, University Library of Munich, Germany.
- Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
- Walker, Mark, 1977. "On the existence of maximal elements," Journal of Economic Theory, Elsevier, vol. 16(2), pages 470-474, December.
- Nikolai S. Kukushkin & Satoru Takahashi & Tetsuo Yamamori, 2005. "Improvement dynamics in games with strategic complementarities," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(2), pages 229-238, June.
- Pavlo Prokopovych, 2013. "The single deviation property in games with discontinuous payoffs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(2), pages 383-402, June.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Kukushkin, Nikolai S., 2018.
"Better response dynamics and Nash equilibrium in discontinuous games,"
Journal of Mathematical Economics, Elsevier, vol. 74(C), pages 68-78.
- Kukushkin, Nikolai S., 2017. "Better response dynamics and Nash equilibrium in discontinuous games," MPRA Paper 81460, University Library of Munich, Germany.
- Harks, Tobias & Klimm, Max, 2015. "Equilibria in a class of aggregative location games," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 211-220.
- Kukushkin, Nikolai S., 2015. "Cournot tatonnement in aggregative games with monotone best responses," MPRA Paper 66976, University Library of Munich, Germany.
- Kukushkin, Nikolai S., 2013. "Approximate Nash equilibrium under the single crossing conditions," MPRA Paper 44320, University Library of Munich, Germany.
- Kukushkin, Nikolai S., 2015.
"Cournot tatonnement and potentials,"
Journal of Mathematical Economics, Elsevier, vol. 59(C), pages 117-127.
- Kukushkin, Nikolai S., 2012. "Cournot tatonnement and potentials," MPRA Paper 43188, University Library of Munich, Germany.
- Nikolai Kukushkin, 2015. "The single crossing conditions for incomplete preferences," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(1), pages 225-251, February.
- Prokopovych, Pavlo & Yannelis, Nicholas C., 2017.
"On strategic complementarities in discontinuous games with totally ordered strategies,"
Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 147-153.
- Pavlo Prokopovych & Nicholas C. Yannelis, 2015. "On Strategic Complementarities in Discontinuous Games with Totally Ordered Strategies," Discussion Papers 56, Kyiv School of Economics.
- Carmona, Guilherme & Podczeck, Konrad, 2014.
"Existence of Nash equilibrium in games with a measure space of players and discontinuous payoff functions,"
Journal of Economic Theory, Elsevier, vol. 152(C), pages 130-178.
- Carmona, Guilherme & Podczeck, Konrad, 2013. "Existence of Nash Equilibrium in games with a measure space of players and discontinuous payoff functions," MPRA Paper 44263, University Library of Munich, Germany.
- He, Wei & Yannelis, Nicholas C., 2015. "Discontinuous games with asymmetric information: An extension of Reny's existence theorem," Games and Economic Behavior, Elsevier, vol. 91(C), pages 26-35.
- Federico Quartieri & Pier Luigi Sacco, 2016. "A note on the symmetry of all Nash equilibria in games with increasing best replies," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 39(1), pages 81-93, April.
- Pavlo Prokopovych, 2016.
"Majorized correspondences and equilibrium existence in discontinuous games,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(3), pages 541-552, March.
- Pavlo Prokopovych, 2014. "Majorized correspondences and equilibrium existence in discontinuous games," Discussion Papers 53, Kyiv School of Economics.
- Ewerhart, Christian, 2014.
"Cournot games with biconcave demand,"
Games and Economic Behavior, Elsevier, vol. 85(C), pages 37-47.
- Christian Ewerhart, 2011. "Cournot games with biconcave demand," ECON - Working Papers 016, Department of Economics - University of Zurich, revised Jan 2014.
- Guilherme Carmona, 2016. "Reducible equilibrium properties: comments on recent existence results," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(3), pages 431-455, March.
- Prokopovych, Pavlo & Yannelis, Nicholas C., 2014.
"On the existence of mixed strategy Nash equilibria,"
Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 87-97.
- Pavlo Prokopovych & Nicholas C.Yannelis, 2013. "On the Existence of Mixed Strategy Nash equilibria," Discussion Papers 50, Kyiv School of Economics.
- Acemoglu, Daron & Jensen, Martin Kaae, 2013.
"Aggregate comparative statics,"
Games and Economic Behavior, Elsevier, vol. 81(C), pages 27-49.
- Acemoglu, Daron & Jensen, Martin Kaae, 2009. "Aggregate Comparative Statics," CEPR Discussion Papers 7254, C.E.P.R. Discussion Papers.
- Oriol Carbonell-Nicolau, 2015. "Further results on essential Nash equilibria in normal-form games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(2), pages 277-300, June.
- Philip J. Reny, 2016. "Nash equilibrium in discontinuous games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(3), pages 553-569, March.
- Kukushkin, Nikolai S., 2020. "Ordinal status games on networks," MPRA Paper 104729, University Library of Munich, Germany.
- Guilherme Carmona & Konrad Podczeck, 2016. "Existence of Nash equilibrium in ordinal games with discontinuous preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(3), pages 457-478, March.
- Roy, Sunanda & Sabarwal, Tarun, 2010.
"Monotone comparative statics for games with strategic substitutes,"
Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 793-806, September.
- Roy, Sunanda & Sabarwal, Tarun, 2005. "Monotone Comparative Statics for Games with Strategic Substitutes," MPRA Paper 4709, University Library of Munich, Germany, revised 04 Sep 2007.
- Roy, Sunanda & Sabarwal, Tarun, 2009. "Monotone Comparative Statics for Games With Strategic Substitutes," Staff General Research Papers Archive 31558, Iowa State University, Department of Economics.
- Sunanda Roy & Tarun Sabarwal, 2008. "Monotone Comparative Statics for Games With Strategic Substitutes," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200810, University of Kansas, Department of Economics, revised May 2010.
More about this item
Keywords
better reply security; Nash equilibrium; potential game; game with strategic complementarities; aggregative game;JEL classification:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
NEP fields
This paper has been announced in the following NEP Reports:- NEP-GTH-2017-01-15 (Game Theory)
- NEP-HPE-2017-01-15 (History & Philosophy of Economics)
- NEP-MIC-2017-01-15 (Microeconomics)
- NEP-UPT-2017-01-15 (Utility Models & Prospect Theory)
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:75862. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Joachim Winter). General contact details of provider: http://edirc.repec.org/data/vfmunde.html .
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.