Alfred Marshall’s cardinal theory of value: the strong law of demand

被引:0
作者
Donald J. Brown
Caterina Calsamiglia
机构
[1] Yale University,
[2] Universitat Autonoma de Barcelona,undefined
关键词
Cardinal utility; Quasilinear utility; Cyclical monotonicity; B13; D11; D51;
D O I
10.1007/s40505-014-0029-5
中图分类号
学科分类号
摘要
We show that all the fundamental properties of competitive equilibrium in Marshall’s cardinal theory of value, as presented in Note XXI of the mathematical appendix to his Principles of Economics (1890), derive from the Strong Law of Demand. That is, existence, uniqueness, optimality, and global stability of equilibrium prices with respect to tatonnement price adjustment follow from the cyclical monotonicity of the market demand function in the Marshallian general equilibrium model. We propose a refutable model of Marshall’s cardinal theory of value: the Marshallian equilibrium inequalities. We show that the Marshallian equilibrium inequalities have a solution iff the finite market data set consisting of observations on market prices and social endowments is cyclically monotone.
引用
收藏
页码:65 / 76
页数:11
相关论文
共 9 条
  • [1] Afriat S(1967)The construction of a utility function from demand data Int. Econ. Rev. 8 66-67
  • [2] Brown DJ(2007)The nonparametric approach to applied welfare analysis Econ. Theory 31 183-188
  • [3] Calsamiglia C(1996)Testable restrictions on the equilibrium manifold Econometrica 64 1249-1262
  • [4] Brown DJ(2011)Testable implications of general equilibrium models: an integer programming approach J. Math. Econ. 47 564-575
  • [5] Matzkin RL(1983)On the law of demand Econometrica 51 997-1019
  • [6] Cherchye L.(2000)The monotonicity of individual and market demand Econometrica 68 911-930
  • [7] Hildenbrand W(1983)The nonparametric approach to demand analysis Econometrica 50 945-973
  • [8] Quah J(undefined)undefined undefined undefined undefined-undefined
  • [9] Varian H(undefined)undefined undefined undefined undefined-undefined