| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1143207 | Operations Research Letters | 2008 | 5 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
P. Jean-Jacques Herings, Gerard van der Laan, Dolf Talman, Zaifu Yang,