Title
Computing Equilibria of Semi-algebraic Economies Using Triangular Decomposition and Real Solution Classification.
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.
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 Li1287.12
Dongming Wang245855.77