TY - JOUR
T1 - Computing equilibria of semi-algebraic economies using triangular decomposition and real solution classification
AU - Li, Xiaoliang
AU - Wang, Dongming
N1 - Publisher Copyright:
© 2014 Elsevier B.V.
PY - 2014/10/1
Y1 - 2014/10/1
N2 - 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.
AB - 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.
KW - Equilibrium
KW - Real solution classification
KW - Semi-algebraic economy
KW - Semi-algebraic system
KW - Triangular decomposition
UR - https://www.scopus.com/pages/publications/84913532505
U2 - 10.1016/j.jmateco.2014.08.007
DO - 10.1016/j.jmateco.2014.08.007
M3 - 文章
AN - SCOPUS:84913532505
SN - 0304-4068
VL - 54
SP - 48
EP - 58
JO - Journal of Mathematical Economics
JF - Journal of Mathematical Economics
ER -