Computational Aspects of General Equilibrium Theory:
Refutable Theories of Value

By Donald Brown and Felix Kubler
Springer-Verlag, February 2008
202 pp.
Series: Lecture Notes in Economics and Mathematical Systems


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Synopsis

This monograph presents a general equilibrium methodology for microeconomic policy analysis intended to serve as an alternative to the now classical, axiomatic general equilibrium theory as exposited in Debreu's Theory of Value (1959) or Arrow and Hahn's General Competitive Analysis (1971). The methodology proposed in this monograph does not presume the existence of market equilibrium, accepts the inherent indeterminancy of nonparametric general equlibrium models, and offers effective algorithms for computing counterfactual equilibria in these models. It consists of several essays written over the last decade, some with colleagues or former graduate students, and an appendix by Charles Steinhorn on the elements of O-minimal structures, the mathematical framework for our analysis.

Table of Contents

Refutable Theories of Value
     Donald J. Brown & Felix Kubler
1
Testable Restrictions on the Equilibrium Manifold
     Donald J. Brown & Rosa L. Matzkin
11
Uniqueness, Stability, and Comparative Statics in Rationalizable Walrasian Markets
     Donald J. Brown & Chris Shannon
27
The Nonparametric Approach to Applied Welfare Analysis
     Donald J. Brown & Caterina Calsamiglia
41
Competition, Consumer Welfare, and the Social Cost of Monopoly
     Yoon-Ho Alex Lee & Donald J. Brown
47
Two Algorithms for Solving the Walrasian Equilibrium Inequalities
     Donald J. Brown & Ravi Kannan
69
Is Intertemporal Choice Theory Testable?
     Felix Kubler
79
Observable Restrictions of General Equilibrium Models with Financial Markets
     Felix Kubler
93
Approximate Generalizations and Computational Experiments
     Felix Kubler
109
Approximate Versus Exact Equilibria in Dynamic Economies
     Felix Kubler & Karl Schmedders
135
Tame Topology and O-Minimal Structures
     Charles Steinhorn
165
References 193