Abraham Wald's equilibrium existence proof reconsidered
AbstractFor his proof of the existence of a general competitive equilibrium Abraham Wald assumed a strictly pseudomonotone inverse market demand function or, equivalently, that market demand satisfies the Weak Axiom of Revealed Preference. It is well known that more recent existence theorems do not need this assumption. In order to clarify its role in Wald's proof, the question of existence of an equilibrium for a modified version of the Walras-Cassel model is reduced to the solvability of a related variational inequality problem. In general, the existence of a solution to such a problem can only be proved by advanced mathematical methods. We provide an elementary induction proof which demonstrates the essence of Abraham Wald's famous contribution.
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Bibliographic InfoArticle provided by Springer in its journal Economic Theory.
Volume (Year): 13 (1999)
Issue (Month): 2 ()
Note: Received: July 22, 1997; revised version: December 11, 1997
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Find related papers by JEL classification:
- B21 - Schools of Economic Thought and Methodology - - History of Economic Thought since 1925 - - - Microeconomics
- C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
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- John Quah, 2004.
"The existence of equilibrium when excess demand obeys the weak axiom,"
Economics Series Working Papers
2004-W07, University of Oxford, Department of Economics.
- Quah, John K.-H., 2008. "The existence of equilibrium when excess demand obeys the weak axiom," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 337-343, February.
- John K.-H. Quah, 2004. "The existence of equilibrium when excess demand obeys the weak axiom," Economics Papers 2004-W07, Economics Group, Nuffield College, University of Oxford.
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