Todd, Michael J.
Proportional Response as Iterated Cobb-Douglas
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.
BibTeX - Entry
@InProceedings{todd:DSP:2010:2671,
author = {Michael J. Todd},
title = {Proportional Response as Iterated Cobb-Douglas},
booktitle = {Equilibrium Computation},
year = {2010},
editor = {Edith Elkind and Nimrod Megiddo and Peter Bro Miltersen and Vijay V. Vazirani and Bernahrd von Stengel},
number = {10171},
series = {Dagstuhl Seminar Proceedings},
ISSN = {1862-4405},
publisher = {Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik, Germany},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2010/2671},
annote = {Keywords: Computing equilibria, Fisher market, proportional response algorithm, Cobb-Douglas utilities}
}
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Keywords: |
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Computing equilibria, Fisher market, proportional response algorithm, Cobb-Douglas utilities |
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Seminar: |
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10171 - Equilibrium Computation
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Issue date: |
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2010 |
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Date of publication: |
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15.07.2010 |