Topology and invertible maps

DOI10.1006/aama.1998.0584zbMath0915.58014OpenAlexW2057655602MaRDI QIDQ1271881

Graciela Chichilnisky

Publication date: 29 June 1999

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://mpra.ub.uni-muenchen.de/8811/1/MPRA_paper_8811.pdf

zbMATH Keywords

market equilibriumlimited arbitrageinvertible map

Mathematics Subject Classification ID

General equilibrium theory (91B50) Implicit function theorems; global Newton methods on manifolds (58C15)

Related Items (3)

On globally diffeomorphic polynomial maps via Newton polytopes and circuit numbers ⋮ Stochastically stable globally coupled maps with bistable thermodynamic limit ⋮ Globally invertible differentiable or holomorphic maps

Cites Work

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• Smooth infinite economies
• A topological invariant for competetive markets
• Limited arbitrage is necessary and sufficient for the existence of a competitive equilibrium with or without short sales
• Two Remarks on the Number of Equilibria of an Economy
• Limited arbitrage is necessary and sufficient for the existence of a competitive equilibrium and the core, and limits voting cycles

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