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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 40, 1997 - Issue 4
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Original Articles

A New Approach To Tikhonov Well-Posedness For Nash EquilibriaFootnote∗

n-person games

M. Margiocco Department of Mathenzatics, University of Genoa, Via Dodecaneso, Genoa, 35-16146, Italy
,
F. Patrone Department of Mathenzatics, University of Genoa, Via Dodecaneso, Genoa, 35-16146, Italy
&
L. Pusillo Chicco Department of Mathenzatics, University of Genoa, Via Dodecaneso, Genoa, 35-16146, Italy
Pages 385-400 | Published online: 20 Mar 2007

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Rabian Wangkeeree, Lam Quoc Anh & Panatda Boonman. (2017) Well-posedness for general parametric quasi-variational inclusion problems. Optimization 66:1, pages 93-111.
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Chih-Sheng Chuang. (2016) Well-posedness for parametric optimization problems with variational inclusion constraint. Optimization 65:4, pages 811-825.
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Marco Margiocco & Lucia Pusillo. (2012) An ordinal well-posedness property for Nash equilibria. Optimization 61:5, pages 585-595.
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Marco Margiocco & Lucia Pusillo. (2008) Potential games and well-posedness properties. Optimization 57:4, pages 571-579.
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L. Q. Anh, P. Q. Khanh & D. T. M. Van. (2011) Well-Posedness Under Relaxed Semicontinuity for Bilevel Equilibrium and Optimization Problems with Equilibrium Constraints. Journal of Optimization Theory and Applications 153:1, pages 42-59.
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Qiu-ying Li & San-hua Wang. (2011) Well-posedness for parametric strong vector quasi-equilibrium problems with applications. Fixed Point Theory and Applications 2011:1.
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Lam Quoc Anh, Phan Quoc Khanh & Dang Thi My Van. (2011) Well-posedness without semicontinuity for parametric quasiequilibria and quasioptimization. Computers & Mathematics with Applications 62:4, pages 2045-2057.
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J. W. Peng & S. Y. Wu. (2011) The Well-Posedness for Multiobjective Generalized Games. Journal of Optimization Theory and Applications 150:2, pages 416-423.
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Rong Hu, Ya-Ping Fang, Nan-Jing Huang & Mu-Ming Wong. (2010) Well-posedness of Systems of Equilibrium Problems. Taiwanese Journal of Mathematics 14:6.
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Ya-Ping Fang, Nan-Jing Huang & Jen-Chih Yao. (2010) Well-posedness by perturbations of mixed variational inequalities in Banach spaces. European Journal of Operational Research 201:3, pages 682-692.
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Francisco Facchinei & Christian Kanzow. (2009) Generalized Nash Equilibrium Problems. Annals of Operations Research 175:1, pages 177-211.
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Rong Hu & Ya-ping Fang. (2010) Levitin–Polyak well-posedness of variational inequalities. Nonlinear Analysis: Theory, Methods & Applications 72:1, pages 373-381.
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Xian-jun Long & Nan-jing Huang. (2008) Metric characterizations of α-well-posedness for symmetric quasi-equilibrium problems. Journal of Global Optimization 45:3, pages 459-471.
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M. Bogdan & J. Kolumbán. (2008) Some regularities for parametric equilibrium problems. Journal of Global Optimization 44:4, pages 481-492.
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X. X. Huang, X. Q. Yang & D. L. Zhu. (2008) Levitin–Polyak well-posedness of variational inequality problems with functional constraints. Journal of Global Optimization 44:2, pages 159-174.
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Lai-Jiu Lin & Chih-Sheng Chuang. (2009) Well-posedness in the generalized sense for variational inclusion and disclusion problems and well-posedness for optimization problems with constraint. Nonlinear Analysis: Theory, Methods & Applications 70:10, pages 3609-3617.
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Lam Quoc Anh, Phan Quoc Khanh, Dang Thi My Van & Jen-Chih Yao. (2009) WELL-POSEDNESS FOR VECTOR QUASIEQUILIBRIA. Taiwanese Journal of Mathematics 13:2B.
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L.C. Ceng & J.C. Yao. (2008) Well-posedness of generalized mixed variational inequalities, inclusion problems and fixed-point problems. Nonlinear Analysis: Theory, Methods & Applications 69:12, pages 4585-4603.
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Ya-Ping Fang, Nan-Jing Huang & Jen-Chih Yao. (2007) Well-posedness of mixed variational inequalities, inclusion problems and fixed point problems. Journal of Global Optimization 41:1, pages 117-133.
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Xian Jun Long, Nan-Jing Huang & Kok Lay Teo. (2008) Levitin-Polyak Well-Posedness for Equilibrium Problems with Functional Constraints. Journal of Inequalities and Applications 2008, pages 1-14.
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Ya-Ping Fang, Rong Hu & Nan-Jing Huang. (2008) Well-posedness for equilibrium problems and for optimization problems with equilibrium constraints. Computers & Mathematics with Applications 55:1, pages 89-100.
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Francisco Facchinei & Christian Kanzow. (2007) Generalized Nash equilibrium problems. 4OR 5:3, pages 173-210.
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Marco Margiocco & Lucia Pusillo. 2007. Advances in Dynamic Game Theory. Advances in Dynamic Game Theory 111 128 .
M. Beatrice. Lignola & Jacqueline Morgan. (2006) α-Well-posedness for Nash Equilibria and For Optimization Problems with Nash Equilibrium Constraints. Journal of Global Optimization 36:3, pages 439-459.
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MARCO MARGIOCCO & LUCIA PUSILLO. (2011) (∊,k) EQUILIBRIA AND WELL-POSEDNESS. International Game Theory Review 08:01, pages 33-44.
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Vito Fragnelli, Fioravante Patrone & Anna Torre. (2006) The nucleolus is well-posed. Journal of Mathematical Analysis and Applications 314:2, pages 412-422.
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Jacqueline Morgan. (2005) Approximations and Well-Posedness in Multicriteria Games. Annals of Operations Research 137:1, pages 257-268.
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Hui Yang & Jian Yu. (2005) Unified Approaches to Well-Posedness with Some Applications. Journal of Global Optimization 31:3, pages 371-381.
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L. Pusillo. 2005. Variational Analysis and Applications. Variational Analysis and Applications 889 904 .
Zhi Lin & Jian Yu. (2004) On well-posedness of the multiobjective generalized game. Applied Mathematics-A Journal of Chinese Universities 19:3, pages 327-334.
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L. Pusillo Chicco. 2004. Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models. Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models 231 246 .
Maria Beatrice Lignola & Jacqueline Morgan. 2004. Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models. Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models 161 174 .
GRAZIANO PIERI & ANNA TORRE. (2011) HADAMARD AND TYKHONOV WELL-POSEDNESS IN TWO PLAYER GAMES. International Game Theory Review 05:04, pages 375-384.
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Rodica Brânzei, Jacqueline Morgan, Vincenzo Scalzo & Stef Tijs. (2003) Approximate fixed point theorems in Banach spaces with applications in game theory. Journal of Mathematical Analysis and Applications 285:2, pages 619-628.
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M. Margiocco, F. Patrone & L. Pusillo. (2002) On the Tikhonov Well-Posedness of Concave Games and Cournot Oligopoly Games. Journal of Optimization Theory and Applications 112:2, pages 361-379.
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Maria Beatrice Lignola & Jacqueline Morgan. 2002. Decision & Control in Management Science. Decision & Control in Management Science 367 377 .
M. Margiocco, F. Patrone & L. Pusillo Chicco. (1999) Metric Characterizations of Tikhonov Well-Posedness in Value. Journal of Optimization Theory and Applications 100:2, pages 377-387.
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