Consistency and incompleteness in general equilibrium theory

We consider the implications for general equilibrium theory of the problems of consistency and completeness as shown in the Gödel-Rosser theorems of the 1930s. That a rigorous consistent formal system is incomplete poses serious problems for dealing with unresolved problems in a fully formal system...

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Veröffentlicht in:Journal of evolutionary economics 2020, Vol.30 (1), p.205-230
Hauptverfasser: Landini, Simone, Gallegati, Mauro, Barkley Rosser, J.
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Barkley Rosser, J.
description We consider the implications for general equilibrium theory of the problems of consistency and completeness as shown in the Gödel-Rosser theorems of the 1930s. That a rigorous consistent formal system is incomplete poses serious problems for dealing with unresolved problems in a fully formal system such as general equilibrium theory. We review the underlying mathematical issues and apply them to this problem for general equilibrium theory. We also consider alternative approaches such as agent-based modeling founded on empirically estimated behavioral assumptions for agents that may allow for a better way to model non-equilibrium evolutionary economic dynamics.
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subjects Alternative approaches
Economic Growth
Economic models
Economic Theory/Quantitative Economics/Mathematical Methods
Economics
Economics and Finance
Entrepreneurship
Equilibrium
Institutional/Evolutionary Economics
Microeconomics
R & D/Technology Policy
Regular Article
title Consistency and incompleteness in general equilibrium theory
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