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arXiv · 1308.5029

Computing Equilibria of Semi-algebraic Economies Using Triangular Decomposition and Real Solution Classification

Xiaoliang Li·Dongming Wang
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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 two examples of application.

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Xiaoliang Li, Dongming Wang. 2013-08-23. Computing Equilibria of Semi-algebraic Economies Using Triangular Decomposition and Real Solution Classification. https://arxiv.org/abs/1308.5029

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