Characterization of optima in smooth Pareto economic systems

DOI10.1016/0304-4068(75)90029-4zbMath0348.90020OpenAlexW1991966320WikidataQ126049400 ScholiaQ126049400MaRDI QIDQ1234616

Carl P. Simon, Charles J. Titus

Publication date: 1975

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

Full work available at URL: http://hdl.handle.net/2027.42/22045

Mathematics Subject Classification ID

Nonlinear programming (90C30) Utility theory (91B16) Trade models (91B60) Calculus on manifolds; nonlinear operators (58C99)

Related Items (8)

Exchange processes with price adjustment ⋮ The structure of admissible points with respect to cone dominance ⋮ On the structure and stability of local Pareto optima in a pure exchange economy ⋮ Singularity theory of utility mappings - I: Degenerate maxima and Pareto optima ⋮ Accessibility of local Pareto optima with constraints ⋮ Stability of critical points for vector valued functions and Pareto efficiency ⋮ On efficient sets in vector maximum problems - A brief survey ⋮ The general relevance of the impossibility theorem in smooth social choice

Cites Work

• Morse theory for two functions
• Global analysis and economics. II: Extension of a theorem of Debreu
• Global analysis and economics. III: Pareto Optima and price equilibria
• Global analysis and economics. V: Pareto theory with constraints
• Proceedings of Liverpool singularities-symposium. I
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