Some Applications of Brouwer’s Theorem

Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 124)


We will return later to the problem of constructing algorithms to locate completely-labelled simplices. Here we give some examples of the use of Brouwer’s theorem in problems of interest. Of course, the existence result is less important to us than the construction of a function whose fixed points solve the given problem. We will also see some limitations of Brouwer’s theorem that may suggest extensions.


Complementarity Problem Linear Complementarity Problem Excess Demand Price System Nonlinear Complementarity Problem 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1976

Authors and Affiliations

  1. 1.School of Operations Research and Industrial EngineeringCornell UniversityIthacaUSA

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