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[2020] Nash equilibrium in discontinuous games, Annu. Rev. Econ.\u00a012, 439\u2013470; Reny, P. [2016b] Introduction to the symposium on discontinuous games, Econ. Theory\u00a061, 423\u2013429; Carmona, G. and Podczeck, K. [2016] Existence of Nash equilibrium in ordinal games with discontinuous preferences, Econ. Theory\u00a061, 457\u2013478] (in a special case), [Reny, P. [1999] On the existence of pure and mixed strategy Nash equilibria in discontinuous games, Econometrica\u00a067, 1029\u20131056; McLennan, A., Monteiro, P. K. and Tourky, R. [2011] Games with discontinuous payoffs: A strengthening of Reny\u2019s existence theorem, Econometrica\u00a079, 1643\u20131664; Barelli, P. and Meneghel, I. [2013] A note on the equilibrium existence problem in discontinuous games, Econometrica\u00a081, 813\u2013824; Nessah, R. [2011] Generalized weak transfer continuity and Nash equilibrium, J. Math. Econ.\u00a047, 659\u2013662; Nessah, R. and Tian, G. [2016] On the existence of Nash equilibrium in discontinuous games, Econ. Theory\u00a061, 515\u2013540]. <\/jats:p>","DOI":"10.1142\/s0219198925500070","type":"journal-article","created":{"date-parts":[[2025,6,27]],"date-time":"2025-06-27T06:03:57Z","timestamp":1751004237000},"source":"Crossref","is-referenced-by-count":0,"title":["Nash Equilibrium in Discontinuous Games: A Weakening of Reny\u2019s Robust Better-Reply Correspondence Property"],"prefix":"10.1142","volume":"27","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5521-7926","authenticated-orcid":false,"given":"Bertrand","family":"Crettez","sequence":"first","affiliation":[{"name":"CRED, EA 7321, Universit\u00e9 Paris-Panth\u00e9on-Assas, 21 Rue Valette, 75005 Paris, France"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5193-7272","authenticated-orcid":false,"given":"Rabia","family":"Nessah","sequence":"additional","affiliation":[{"name":"Lille Economie Management (LEM), UMR 9221 IESEG School of Management, F-59000 Lille, France"},{"name":"Lille Economie Management (LEM), UMR 9221, Universit\u00e9 de Lille, F-59000 Lille, France"},{"name":"Lille Economie Management (LEM), UMR 9221 CNRS F-59000 Lille, France"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4115-9512","authenticated-orcid":false,"given":"Tarik","family":"Tazda\u00eft","sequence":"additional","affiliation":[{"name":"CIRED, EHESS, CNRS, Campus du Jardin Tropical, 45 bis Av. de la Belle Gabrielle, 94736 Nogent-sur-Marne Cedex, France"}]}],"member":"219","published-online":{"date-parts":[[2025,7,31]]},"reference":[{"volume-title":"Infinite Dimensional Analysis","year":"2006","author":"Aliprantis R.","key":"S0219198925500070BIB001"},{"key":"S0219198925500070BIB002","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-03539-9"},{"key":"S0219198925500070BIB003","doi-asserted-by":"publisher","DOI":"10.3982\/ECTA9125"},{"key":"S0219198925500070BIB004","doi-asserted-by":"publisher","DOI":"10.2307\/2298107"},{"key":"S0219198925500070BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/s00182-009-0160-y"},{"key":"S0219198925500070BIB006","doi-asserted-by":"publisher","DOI":"10.3982\/TE2081"},{"key":"S0219198925500070BIB007","doi-asserted-by":"publisher","DOI":"10.1007\/s00199-018-1151-7"},{"key":"S0219198925500070BIB008","doi-asserted-by":"publisher","DOI":"10.1007\/s00199-015-0901-z"},{"key":"S0219198925500070BIB009","first-page":"170","volume":"3","author":"Glicksberg I. 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