Handbook of Computational Economics

Chapter 11

Computing All Solutions to Polynomial Equations in Economics

Felix Kubler^a, Philipp Renner^b and Karl Schmedders^c,    ^aDepartment of Banking and Finance, University of Zurich, and Swiss Finance Institute, Switzerland,    ^bHoover Institution, Stanford, CA, USA,    ^cDepartment of Business Administration, University of Zurich, and Swiss Finance Institute, Switzerland,    ^a [e-mail],    ^b [e-mail],    ^c [e-mail]

Abstract

Multiplicity of equilibria is a common problem in many economic models. In general, it is impossible to devise methods that always find all equilibria for any type of model. A notable exception are models in which all equilibria are solutions to a system of polynomial equations since ...