Equilibria of nonparacompact generalized games with \(\mathcal L_{F_c}\)-majorized correspondences in \(G\)-convex spaces.
From MaRDI portal
Publication:1426712
DOI10.1016/j.na.2003.10.015zbMath1087.91007OpenAlexW2080616686MaRDI QIDQ1426712
Publication date: 15 March 2004
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2003.10.015
\(G\)-convex spaceMaximal elementEquilibrium existence\(\mathcal L_{F_c}\)-correspondence\(\mathcal L_{F_c}\)-majorized correspondenceGeneralized game
Games with infinitely many players (91A07) General equilibrium theory (91B50) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)
Related Items (14)
Existence of equilibrium in an abstract economy without \textit{SS}-convexity ⋮ The single deviation property in games with discontinuous payoffs ⋮ General existence theorems, alternative theorems and applications to minimax problems ⋮ Equilibrium existence theorems of generalized games for generalized \(\mathcal L_{\theta, F_c}\)-majorized mapping in topological space ⋮ Maximal elements of \(G_{\mathrm{KKM}}\)-majorized mappings in product \(FC\)-spaces and applications. I ⋮ Fixed points, maximal elements and equilibria of generalized games in abstract convex spaces ⋮ Maximal elements and generalized games involving condensing mappings in locally \(FC\)-uniform spaces and applications. I ⋮ An existence theorem for maximal elements and its applications ⋮ A new generalization of the Yannelis-Prabhakar equilibrium existence theorem for abstract economies ⋮ Existence of equilibrium for abstract economics on pseudo \(H\)-spaces. ⋮ Maximal element theorems in product \(FC\)-spaces and generalized games ⋮ Equilibria of nonparacompact generalized games with \(\mathcal L_c\)-majorized correspondences in \(FC\)-spaces ⋮ Some maximal elements' theorems in \(FC\)-spaces ⋮ Fixed point theorems and existence of equilibrium points of noncompact abstract economies for \(\mathcal L_F^*\)-majorized mappings in FC-spaces
Cites Work
- Existence of maximal elements and equilibria in linear topological spaces
- On the existence of equilibria in economies with infinitely many commodities and without ordered preferences
- Contractibility and generalized convexity
- More on Harsanyi's utilitarian cardinal welfare theorem
- Some further generalizations of Knaster-Kuratowski-Mazurkiewicz theorem and minimax inequalities
- Equilibria of non-compact generalized games with \( L^*\)-majorized preference correspondences
- Equilibrium in abstract economies without ordered preferences
- Existence of equilibrium actions and of equilibrium. A note on the 'new' existence theorems
- On equilibria of non-compact generalized games
- On the approximation of upper semi-continuous correspondences and the equilibria of generalized games
- The study of existence of equilibria for generalized games without lower semicontinuity in locally topological vector spaces
- New H-KKM theorems and their applications to geometric property, coincidence theorems, minimax inequality and maximal elements
- Foundations of the KKM theory on generalized convex spaces
- Fixed points, minimax inequalities and equilibria of noncompact abstract economies
- Minimax inequalities on \(G\)-convex spaces with applications to generalized games
- Generalized G-KKM theorems in generalized convex spaces and their applications
- Equilibria of noncompact generalized games with \(\mathcal U\)-majorized preference correspondences
- Applications of the generalized Knaster-Kurakowski-Mazurkiewicz theorem to variational inequalities
- Coincidence theorems for admissible multifunctions on generalized convex spaces
- Coincidence theorems and equilibria of generalized games
- A fixed point theorem in H-space and related results
- Existence of Maximal Element and Equilibrium for a Nonparacompact N-Person Game
- The study of maximal elements, fixed points for -majorized mappings and their applications to minimax and variational inequalities in product topological spaces
- The study of equilibria for abstract economics in topological vector spaces – a unified approach
- Existence of equilibria of generalized games without compactness and paracompactness
- Existence of an Equilibrium for a Competitive Economy
- Fixed-point theorems and equilibrium problems
- Maximal element theorems of H-majorized correspondence and existence of equilibrium for abstract economies
- Applications of a fixed point theorem in \(G\)-convex space
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Equilibria of nonparacompact generalized games with \(\mathcal L_{F_c}\)-majorized correspondences in \(G\)-convex spaces.
