On a market equilibrium theorem with an infinite number of commodities

DOI10.1016/0022-247X(85)90047-2zbMath0581.90010MaRDI QIDQ1067958

Nicholas C. Yannelis

Publication date: 1985

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

generalizationinfinite number of commoditiesGale-Nikaido-Debreu market equilibrium theoremHausdorff locally convex linear topological spacesselection theorem for correspondences

Mathematics Subject Classification ID

Selections in general topology (54C65) General equilibrium theory (91B50)

Related Items (21)

Equilibria in Banach lattices without ordered preferences ⋮ The Yannelis-Prabhakar theorem on upper semi-continuous selections in paracompact spaces: extensions and applications ⋮ On variational stability in competitive economies ⋮ An elementary proof of the Knaster-Kuratowski-Mazurkiewicz-Shapley theorem ⋮ Edgeworth equilibria in production economies ⋮ Structure of consumption sets and existence of equilibria in infinite- dimensional spaces ⋮ Infinite-dimensional Gale-Nikaido-Debreu theorem and a fixed-point theorem of Tarafdar ⋮ Economies with a continuum of consumers, a continuum of suppliers and an infinite dimensional commodity space ⋮ Relaxed large economies with infinite-dimensional commodity spaces: the existence of Walrasian equilibria ⋮ Markets with infinitely many commodities and a continuum of agents with non-convex preferences ⋮ Minimax inequalities and generalisations of the Gale-Nikaido-Debreu Lemma ⋮ Equilibria in exchange economies with a countable number of agents ⋮ Equilibria with discontinuous preferences: new fixed point theorems ⋮ The Walrasian objection mechanism and Mas-Colell's bargaining set in economies with many commodities ⋮ On the fundamental theorems of general equilibrium ⋮ Topological vector spaces admissible in economic equilibrium theory ⋮ On a new continuous selection and its applications ⋮ Prakash and Sertel's theory of non-cooperative equilibria in social systems --- twenty years later ⋮ How to make a neural network say ``Don't know ⋮ Inverse of Berge's maximum theorem in locally convex topological vector spaces and its applications ⋮ The decomposition of excess demand functions on Banach spaces

Cites Work

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• On the existence of equilibria in economies with an infinite dimensional commodity space
• Existence of maximal elements and equilibria in linear topological spaces
• A remark on the existence of equilibria in markets without ordered preferences and with a Riesz space of commodities
• An equilibrium existence theorem
• Equilibria in markets with a Riesz space of commodities
• Ordered linear spaces

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