Increasing cones, recession cones and global cones

DOI10.1080/02331930008844477zbMath1032.91053OpenAlexW2122679316MaRDI QIDQ4949184

Frank H. jun. Page, Myrna Holtz Wooders, Paulo Klinger Monteiro

Publication date: 6 February 2001

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930008844477

zbMATH Keywords

existence of equilibriumrecession conesarbitrage conecompactness of the utility possibilitiesglobal conesincreasing cones

Mathematics Subject Classification ID

Microeconomic theory (price theory and economic markets) (91B24) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

Related Items (2)

Equilibrium theory with unbounded consumption sets and non-ordered preferences. I: Non-satiation ⋮ Inconsequential arbitrage

Cites Work

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• Overlapping expectations and Hart's conditions for equilibrium in a securities model
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• A necessary and sufficient condition for the compactness of individually rational and feasible outcomes and the existence of an equilibrium
• Arbitrage, equilibrium, and gains from trade: A counterexample
• Inconsequential arbitrage
• The partnered core of a game without side payments
• Arbitrage and global cones: another counterexample
• Arbitrage and the Existence of Competitive Equilibrium
• Asset Market Equilibrium with Short-Selling
• Short-Selling, Default Risk and the Existence of Equilibrium in a Securities Model
• Intersecting families of sets and the topology of cones in economics

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