Consumer Optimization and a First-Order PDE with a Non-Smooth System
Tóm tắt
Từ khóa
Tài liệu tham khảo
Dieudonné J (2006) Foundations of modern analysis. Hesperides Press
Nikliborc W (1929) Sur les équations linéaires aux différentielles totales. Studia Mathematica 1:41–49
Hosoya Y (2017) The relationship between revealed preference and the Slutsky matrix. J Math Econ 70:127–146
Hurwicz L, Uzawa H (1971) On the integrability of demand functions. In: Chipman JS, Hurwicz L, Richter MK, Sonnenschein HF (eds) Preference, utility and demand. Harcourt Brace Jovanovich Inc., New York, pp 114–148
Hosoya Y (2018) First-order partial differential equations and consumer theory. Discret Contin Dyn Syst Ser S 11:1143–1167
Milnor J (1965) Topology from the differentiable viewpoint. Princeton University Press, Princeton
Guillemin V, Pollack A (1974) Differential topology. Prentice Hall
Auslander L, Mackenzie RE (2009) Introduction to differential manifolds. Dover Publications
Hicks NJ (1965) Notes on differential geometry. Van Nostrand Reinhold U.S.
Kosinski AA (1993) Differential manifolds. Academic Press
Matsushima Y (1972) Differentiable manifolds. Marcel Dekker
Sternberg S (1999) Lectures on differential geometry. American Mathematical Society
Hosoya Y (2012) Elementary form and proof of the frobenius theorem for economists. Adv Math Econ 16:39–51
Antonelli GB (1886) Sulla teoria matematica dell’ economia politica. Tipografia del Folchetto, Pisa
Mas-Colell A (1977) The recoverability of consumers’ preferences from market demand behavior. Econometrica 45:1409–1430
Takagi T (1961) Kaiseki gairon (in Japanese). Iwanami Shoten
Hosoya Y (2015) The relationship between two definitions of manifolds. Keizaikei 263:14–17
