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

Xiaoliang Li and Dongming Wang

Journal of Mathematical Economics, 2014, vol. 54, issue C, 48-58

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.

Keywords: Equilibrium; Semi-algebraic economy; Semi-algebraic system; Triangular decomposition; Real solution classification (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:54:y:2014:i:c:p:48-58

DOI: 10.1016/j.jmateco.2014.08.007

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