Maximal elements and equilibria of generalized games for \({\mathcal U}\)-majorized and condensing correspondences

DOI10.1155/S0161171299221795zbMath0924.47035OpenAlexW1988484357MaRDI QIDQ1283419

K. Appert

Publication date: 13 April 1999

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48276

zbMATH Keywords

fixed pointexistence theoremmathematical economicsabstract economyequilibrium pointmaximal elementscondensing mappingsgeneralized gamesselection theoremquantitative gameslocally convex topological vector spacesopen lower sectionspreference correspondences

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Set-valued maps in general topology (54C60) Equations involving nonlinear operators (general) (47J05) (n)-person games, (n>2) (91A06) Games with infinitely many players (91A07) Fixed-point theorems (47H10) Set-valued operators (47H04) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Degree theory for nonlinear operators (47H11) Degree, winding number (55M25) Methods involving semicontinuity and convergence; relaxation (49J45) General equilibrium theory (91B50) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

Related Items (5)

Majorized correspondences and equilibrium existence in discontinuous games ⋮ Maximal elements and equilibria for generalized majorized maps ⋮ A fixed-point theorem and equilibria of abstract economies with weakly upper semicontinuous set-valued maps ⋮ Existence of Equilibrium Pairs for Generalized Games ⋮ On abstract economies and their applications

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