Comparative statics and dynamics of optimal choice models in Hilbert spaces

DOI10.1016/0022-247X(79)90061-1zbMath0497.90080OpenAlexW3121698615MaRDI QIDQ1171008

Graciela Chichilnisky, Peter J. Kalman

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0022-247x(79)90061-1

zbMATH Keywords

nonlinear functional analysiscomparative staticssymmetry conditionssufficient existence conditionsdynamics of optimal choice modelsnegative semidefinitenessparametrized constrained optimization problem in Hilbert spacesproperties of the solutionsspecial operator

Mathematics Subject Classification ID

Nonlinear programming (90C30) Sensitivity, stability, parametric optimization (90C31) Programming in abstract spaces (90C48) Mathematical economics (91B99) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Cites Work

• Properties of critical points and operators in economics
• Nonlinear functional analysis and optimal economic growth
• Application of functional analysis to models of efficient allocation of economic resources
• An Infinite Dimensional Version of Sard's Theorem
• Theory of Consumer Behavior When Prices Enter the Utility Function
• Generalized Comparative Statics with Applications to Consumer Theory and Producer Theory
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