Weakly Continuous Security in Discontinuous and Nonquasiconcave Games: Existence and Characterization
Author
Suggested Citation
Download full text from publisher
References listed on IDEAS
- Carmona, Guilherme, 2009.
"An existence result for discontinuous games,"
Journal of Economic Theory, Elsevier, vol. 144(3), pages 1333-1340, May.
- Guilherme Carmona, 2008. "An existence result for discontinuous games," Nova SBE Working Paper Series wp530, Universidade Nova de Lisboa, Nova School of Business and Economics.
- Paulo Barelli & Idione Meneghel, 2013.
"A Note on the Equilibrium Existence Problem in Discontinuous Games,"
Econometrica, Econometric Society, vol. 81(2), pages 813-824, March.
- Idione Soza & Paulo Barelli, 2012. "A note on the equilibrium existence problem in discontinuous games," Discussion Papers Series 467, School of Economics, University of Queensland, Australia.
- Guilherme Carmona, 2004.
"On the Existence of Pure Strategy Nash Equilibria in Large Games,"
Game Theory and Information
0412008, University Library of Munich, Germany.
- Guilherme Carmona, 2006. "On the existence of pure strategy nash equilibria in large games," Nova SBE Working Paper Series wp487, Universidade Nova de Lisboa, Nova School of Business and Economics.
- Guilherme Carmona, 2004. "On the existence of pure strategy nash equilibria in large games," Nova SBE Working Paper Series wp465, Universidade Nova de Lisboa, Nova School of Business and Economics.
- Michael R. Baye & Guoqiang Tian & Jianxin Zhou, 1993. "Characterizations of the Existence of Equilibria in Games with Discontinuous and Non-quasiconcave Payoffs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(4), pages 935-948.
- Michael Baye & Dan Kovenock & Casper Vries, 2012.
"Contests with rank-order spillovers,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(2), pages 315-350, October.
- Michael R. Baye & Dan Kovenock & Casper G. de Vries, 2008. "Contests with Rank-Order Spillovers," Working Papers 2008-20, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy.
- Michael R. Baye & Dan Kovenock & Casper G. de Vries, 2009. "Contests with Rank-Order Spillovers," Tinbergen Institute Discussion Papers 09-066/2, Tinbergen Institute.
- Baye, Michael R. & Kovenock, Dan & Vries, Casper G. de, 2009. "Contests with rank-order spillovers," Discussion Papers, Research Unit: Market Processes and Governance SP II 2009-09, WZB Berlin Social Science Center.
- Nessah, Rabia, 2011.
"Generalized weak transfer continuity and the Nash equilibrium,"
Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 659-662.
- R. Nessah, 2011. "Generalized weak transfer continuity and Nash equilibrium," Post-Print hal-00785057, HAL.
- 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.
- Philippe Bich, 2009. "Existence of pure Nash equilibria in discontinuous and non quasiconcave games," PSE-Ecole d'économie de Paris (Postprint) hal-00750953, HAL.
- Morgan, Jacqueline & Scalzo, Vincenzo, 2007. "Pseudocontinuous functions and existence of Nash equilibria," Journal of Mathematical Economics, Elsevier, vol. 43(2), pages 174-183, February.
- Oriol Carbonell-Nicolau, 2011. "The Existence of Perfect Equilibrium in Discontinuous Games," Games, MDPI, vol. 2(3), pages 1-22, July.
- Simon, Leo K & Zame, William R, 1990.
"Discontinuous Games and Endogenous Sharing Rules,"
Econometrica, Econometric Society, vol. 58(4), pages 861-872, July.
- Leo K. Simon and William R. Zame., 1987. "Discontinuous Games and Endogenous Sharing Rules," Economics Working Papers 8756, University of California at Berkeley.
- Simon, Leo K. & Zame, William R., 1987. "Discontinous Games and Endogenous Sharing Rules," Department of Economics, Working Paper Series qt8n46v2wv, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
- Philippe Bich, 2009. "Existence of pure Nash equilibria in discontinuous and non quasiconcave games," Post-Print halshs-00426402, HAL.
- Carmona, Guilherme & Podczeck, Konrad, 2009.
"On the existence of pure-strategy equilibria in large games,"
Journal of Economic Theory, Elsevier, vol. 144(3), pages 1300-1319, May.
- Guilherme Carmona & Konrad Podczeckz, 2008. "On the existence of pure-strategy equilibria in large games," Nova SBE Working Paper Series wp531, Universidade Nova de Lisboa, Nova School of Business and Economics.
- 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.
- Rabia Nessah & Guoqiang Tian, 2016.
"On the existence of Nash equilibrium in discontinuous games,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(3), pages 515-540, March.
- Rabia Nessah & Guoqiang Tian, 2015. "On the existence of Nash equilibrium in discontinuous games," Post-Print hal-01533554, HAL.
- 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.
- Paulo Monteiro & Frank Page, 2008. "Catalog competition and Nash equilibrium in nonlinear pricing games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(3), pages 503-524, March.
- Pavlo Prokopovych, 2011. "On equilibrium existence in payoff secure games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(1), pages 5-16, September.
- 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.
- Philip Reny, 2011. "Strategic approximations of discontinuous games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(1), pages 17-29, September.
- Erik Balder, 2011. "An equilibrium closure result for discontinuous games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(1), pages 47-65, September.
- Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(1), pages 1-26.
- 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.
- Guoqiang Tian, 2009. "The Existence of Equilibria in Games with Arbitrary Strategy Spaces and Payoffs: A Full Characterization," Levine's Working Paper Archive 814577000000000160, David K. Levine.
- Guilherme Carmona, 2011. "Understanding some recent existence results for discontinuous games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(1), pages 31-45, September.
- Athey, Susan, 2001.
"Single Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information,"
Econometrica, Econometric Society, vol. 69(4), pages 861-889, July.
- Athey, S., 1997. "Sigle Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information," Working papers 97-11, Massachusetts Institute of Technology (MIT), Department of Economics.
- Paul Rothstein, 2007. "Discontinuous Payoffs, Shared Resources, and Games of Fiscal Competition: Existence of Pure Strategy Nash Equilibrium," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(2), pages 335-368, April.
- Carbonell-Nicolau, Oriol, 2011. "On the existence of pure-strategy perfect equilibrium in discontinuous games," Games and Economic Behavior, Elsevier, vol. 71(1), pages 23-48, January.
- Monteiro, Paulo Klinger & Page Jr, Frank H., 2007. "Uniform payoff security and Nash equilibrium in compact games," Journal of Economic Theory, Elsevier, vol. 134(1), pages 566-575, May.
- Leo K. Simon, 1987. "Games with Discontinuous Payoffs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(4), pages 569-597.
- 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.
- Adib Bagh & Alejandro Jofre, 2006. "Reciprocal Upper Semicontinuity and Better Reply Secure Games: A Comment," Econometrica, Econometric Society, vol. 74(6), pages 1715-1721, November.
- Philippe Bich, 2009. "Existence of pure Nash equilibria in discontinuous and non quasiconcave games," Post-Print hal-00750953, HAL.
- 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.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- 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.
- Philip J. Reny, 2013. "Nash Equilibrium in Discontinuous Games," Working Papers 2013-004, Becker Friedman Institute for Research In Economics.
- Philip J. Reny, 2020.
"Nash Equilibrium in Discontinuous Games,"
Annual Review of Economics, Annual Reviews, vol. 12(1), pages 439-470, August.
- 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.
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.- Rabia Nessah, 2022. "Weakly continuous security and nash equilibrium," Theory and Decision, Springer, vol. 93(4), pages 725-745, November.
- Philip J. Reny, 2020.
"Nash Equilibrium in Discontinuous Games,"
Annual Review of Economics, Annual Reviews, vol. 12(1), pages 439-470, August.
- 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.
- 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.
- 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.
- 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.
- Philip J. Reny, 2013. "Nash Equilibrium in Discontinuous Games," Working Papers 2013-004, Becker Friedman Institute for Research In 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.
- 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.
- Zhiwei Liu & Nicholas C. Yannelis, 2013. "On Discontinuous Games with Asymmetric Information," Economics Discussion Paper Series 1318, Economics, The University of Manchester.
- 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.
- 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.
- Rabia Nessah & Guoqiang Tian, 2016.
"On the existence of Nash equilibrium in discontinuous games,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(3), pages 515-540, March.
- Rabia Nessah & Guoqiang Tian, 2015. "On the existence of Nash equilibrium in discontinuous games," Post-Print hal-01533554, HAL.
- Tian, Guoqiang, 2015. "On the existence of equilibria in games with arbitrary strategy spaces and preferences," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 9-16.
- 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.
- Pavlo Prokopovych & Nicholas C. Yannelis, 2012. "On Uniform Conditions for the Existence of Mixed Strategy Equilibria," Discussion Papers 48, Kyiv School of Economics.
- Nessah, Rabia & Tian, Guoqiang, 2008. "Existence of Equilibria in Discontinuous Games," MPRA Paper 41206, University Library of Munich, Germany, revised Mar 2010.
- Alejandro Saporiti, 2014.
"Power sharing and electoral equilibrium,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(3), pages 705-729, April.
- Alejandro Saporiti, 2013. "Power Sharing and Electoral Equilibrium," Economics Discussion Paper Series 1301, Economics, The University of Manchester.
- Vincenzo Scalzo, 2013. "Essential equilibria of discontinuous games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(1), pages 27-44, September.
- 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.
- Harks, Tobias & Klimm, Max, 2015. "Equilibria in a class of aggregative location games," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 211-220.
- Rabia Nessah & Guoqiang Tian, 2008.
"The Existence of Equilibria in Discontinuous and Nonconvex Games,"
Working Papers
2008-ECO-14, IESEG School of Management, revised Mar 2010.
- Rabia Nessah & Guoqiang Tian, 2009. "Existence of Equilibria in Discontinuous and Nonconvex Games," Levine's Working Paper Archive 814577000000000206, David K. Levine.
More about this item
Keywords
Discontinuous games; nonquasiconcave games; pure strategy Nash equilibrium; weakly continuous security; pseudo upper semicontinuity; generalized payoff security; weakly reciprocal upper semicontinuity;All these keywords.
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-2013-11-02 (Game Theory)
- NEP-HPE-2013-11-02 (History and Philosophy of Economics)
- NEP-MIC-2013-11-02 (Microeconomics)
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:ies:wpaper:e201320. See general information about how to correct material in RePEc.
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 bibliographic 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.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Lies BOUTEN (email available below). General contact details of provider: https://edirc.repec.org/data/iesegfr.html .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.