Title | ||
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Computing Equilibria of Semi-algebraic Economies Using Triangular Decomposition and Real Solution Classification. |
Abstract | ||
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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. |
Year | DOI | Venue |
---|---|---|
2013 | 10.1016/j.jmateco.2014.08.007 | Journal of Mathematical Economics |
Keywords | Field | DocType |
Equilibrium,Semi-algebraic economy,Semi-algebraic system,Triangular decomposition,Real solution classification | Algebraic number,Economic model,Multiplicity (mathematics),Symbolic computation,Economy,Triangular decomposition,Real algebraic geometry,Mathematics | Journal |
Volume | ISSN | Citations |
54 | 0304-4068 | 1 |
PageRank | References | Authors |
0.39 | 14 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Xiaoliang Li | 1 | 28 | 7.12 |
Dongming Wang | 2 | 458 | 55.77 |