Chapter 11

Computing All Solutions to Polynomial Equations in Economics

Felix Kublera, Philipp Rennerb and Karl Schmeddersc,    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 kubler@isb.uzh.ch,    b phrenner@gmail.com,    c karl.schmedders@business.uzh.ch

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 ...

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