The Gale-Nikaido-Debreu lemma and the existence of transitive equilibrium with or without the free-disposal assumption

DOI10.1016/0304-4068(82)90022-2zbMath0471.90026OpenAlexW2053000001WikidataQ124989029 ScholiaQ124989029MaRDI QIDQ1158079

Monique Geistdoerfer-Florenzano

Publication date: 1982

Published in: Journal of Mathematical Economics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4068(82)90022-2

zbMATH Keywords

free disposabilityclosed convex conepure exchange economyexcess demand correspondenceexistence of quasi-equilibriumtransitive equilibrium

Mathematics Subject Classification ID

General equilibrium theory (91B50)

Related Items (13)

The Yannelis-Prabhakar theorem on upper semi-continuous selections in paracompact spaces: extensions and applications ⋮ Arbitrage and asset market equilibrium in infinite dimensional economies with short-selling and risk-averse expected utilities ⋮ Two lemmas that changed general equilibrium theory ⋮ Equilibrium and optimality: some imprints of David Gale ⋮ A direct proof of the Gale-Nikaido-Debreu lemma using Sperner's lemma ⋮ A note on the Gale-Nikaido-Debreu lemma and the existence of general equilibrium ⋮ Existence of an equilibrium in Arrowian markets for consumption externalities ⋮ A General Equilibrium Model in Which Consumption Takes Time ⋮ Arbitrage and equilibrium in economies with short-selling and ambiguity ⋮ Satiation and existence of competitive equilibrium ⋮ Hierarchic competitive equilibria ⋮ On the existence of equilibria without convexity or free disposal on production technologies ⋮ On a new continuous selection and its applications

Cites Work

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• A proof of the existence of equilibrium without the free disposal assumption
• An equilibrium existence theorem for a general model without ordered preferences
• How to discard 'free disposability' - at no cost
• Euler characteristic and fixed-point theorems
• MARKET EQUILIBRIUM
• On the Existence of General Equilibrium for a Competitive Market
• New Concepts and Techniques for Equilibrium Analysis

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