HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

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

Xiaoliang Li 1 Dongming Wang 2
2 PolSys - Polynomial Systems
LIP6 - Laboratoire d'Informatique de Paris 6, Inria Paris-Rocquencourt
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.
Document type :
Journal articles
Complete list of metadata

https://hal.inria.fr/hal-01092169
Contributor : Dongming Wang Connect in order to contact the contributor
Submitted on : Monday, December 8, 2014 - 1:42:36 PM
Last modification on : Friday, January 21, 2022 - 3:22:24 AM

Links full text

Identifiers

Citation

Xiaoliang Li, Dongming Wang. Computing equilibria of semi-algebraic economies using triangular decomposition and real solution classification. Journal of Mathematical Economics, Elsevier, 2014, 54, pp.48-58. ⟨10.1016/j.jmateco.2014.08.007⟩. ⟨hal-01092169⟩

Share

Metrics

Record views

99