Pseudocontinuity in optimization and nonzero-sum games

DOI10.1023/B:JOTA.0000012738.90889.5bzbMath1090.91006OpenAlexW2083872290MaRDI QIDQ1431707

Vincenzo Scalzo, Jacqueline Morgan

Publication date: 11 June 2004

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:jota.0000012738.90889.5b

zbMATH Keywords

coupled constraintsminimum pointsSequential spacesMinSup problemssequential closed set-valued functionssequential lower and upper pseudocontinuitysequential lower and upper semicontinuitysocial Nash equilibria

Mathematics Subject Classification ID

Noncooperative games (91A10) 2-person games (91A05)

Related Items (19)

Asymptotical behavior of finite and possible discontinuous economies ⋮ Pseudocontinuous functions and existence of Nash equilibria ⋮ Discontinuous stable games and efficient Nash equilibria ⋮ Some Generalizations of the Weierstrass Theorem ⋮ Well-posedness under relaxed semicontinuity for bilevel equilibrium and optimization problems with equilibrium constraints ⋮ \(\alpha\)-well-posedness for Nash equilibria and for optimization problems with Nash equilibrium constraints ⋮ VARIATIONAL STABILITY OF SOCIAL NASH EQUILIBRIA ⋮ The Multiplier-Penalty Method for Generalized Nash Equilibrium Problems in Banach Spaces ⋮ Well-posedness without semicontinuity for parametric quasiequilibria and quasioptimization ⋮ Levitin-Polyak well-posedness for lexicographic vector equilibrium problems ⋮ Generalized Nash equilibrium problems ⋮ Well-posedness for parametric generalized vector quasivariational inequality problems of the minty type ⋮ New results on value functions and applications to MaxSup and MaxInf problems ⋮ Generalized Nash equilibrium problems ⋮ Semicontinuity and closedness of parametric generalized lexicographic quasiequilibrium problems ⋮ Levitin-Polyak well-posedness for equilibrium problems with the lexicographic order ⋮ On the existence of greatest elements and maximizers ⋮ Continuity properties of solution maps of parametric lexicographic equilibrium problems ⋮ Well-posedness for lexicographic vector quasiequilibrium problems with lexicographic equilibrium constraints

Cites Work

• Convergence of solutions of quasi-variational inequalities and applications
• Dynamic noncooperative game theory
• Transfer continuities, generalizations of the Weierstrass and maximum theorems: A full characterization
• semi-continuities of marginal functions in a sequential setting
• A Social Equilibrium Existence Theorem*
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