Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/86189
Authors: 
Herings, Jean-Jacques
van der Laan, Gerard
Talman, Dolf
Yang, Zaifu
Year of Publication: 
2004
Series/Report no.: 
Tinbergen Institute Discussion Paper 05-004/1
Abstract: 
Any function from a non-empty polytope into itself that is locally gross direction preserving is shown to have the fixed point property. Brouwer's fixed point theorem for continuous functions is a special case. We discuss the application of the result in the area of non-cooperative game theory.
Subjects: 
Fixed point
simplicial subdivision
discontinuity
equilibrium
JEL: 
C62
C63
Document Type: 
Working Paper

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