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.
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https://hal.inria.fr/hal-01092169
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Submitted on : Monday, December 8, 2014 - 1:42:36 PM
Last modification on : Friday, May 24, 2019 - 5:25:58 PM

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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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