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Proportional Response as Iterated Cobb-Douglas

2010/01/01 by Michael J. Todd, Todd, Michael J.
Economics, Econometrics and Finance · #Cobb-Douglas utilities #Computing equilibria #Economic theories and models #Fisher market #proportional response algorithm

paper · doi:10.4230/dagsemproc.10171.3

openalex publication_date 2010/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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