Proportional Response as Iterated Cobb-Douglas

Author Michael J. Todd



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Michael J. Todd

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Michael J. Todd. Proportional Response as Iterated Cobb-Douglas. In Equilibrium Computation. Dagstuhl Seminar Proceedings, Volume 10171, pp. 1-6, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2010)
https://doi.org/10.4230/DagSemProc.10171.3

Abstract

We show that the proportional response algorithm for computing an economic equilibrium in a Fisher market model can be interpreted as iteratively approximating the economy by one with Cobb-Douglas utilities, for which a closed-form equilibrium can be obtained. We also extend the method to allow elasticities of substitution at most one.
Keywords
  • Computing equilibria
  • Fisher market
  • proportional response algorithm
  • Cobb-Douglas utilities

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