Computing equilibria of semi-algebraic economies using triangular decomposition and real solution classification

Xiaoliang Li 1 Dongming Wang 2
2 PolSys - Polynomial Systems
LIP6 - Laboratoire d'Informatique de Paris 6, Inria Paris-Rocquencourt
Abstract : In this paper, we are concerned with the problem of determining the existence of multiple equilibria in economic models. We propose a general and complete approach for identifying multiplicities of equilibria in semi-algebraic economies, which may be expressed as semi-algebraic systems. The approach is based on triangular decomposition and real solution classification, two powerful tools of algebraic computation. Its effectiveness is illustrated by three examples of application.
Type de document :
Article dans une revue
Journal of Mathematical Economics, Elsevier, 2014, 54, pp.48-58. <10.1016/j.jmateco.2014.08.007>
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https://hal.inria.fr/hal-01092169
Contributeur : Dongming Wang <>
Soumis le : lundi 8 décembre 2014 - 13:42:36
Dernière modification le : mercredi 11 mai 2016 - 01:06:10

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Xiaoliang Li, Dongming Wang. Computing equilibria of semi-algebraic economies using triangular decomposition and real solution classification. Journal of Mathematical Economics, Elsevier, 2014, 54, pp.48-58. <10.1016/j.jmateco.2014.08.007>. <hal-01092169>

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