Article ID: | iaor2009594 |
Country: | Netherlands |
Volume: | 36 |
Issue: | 1 |
Start Page Number: | 89 |
End Page Number: | 93 |
Publication Date: | Jan 2008 |
Journal: | Operations Research Letters |
Authors: | Talman Dolf, Yang Zaifu, Laan Gerard van der, Herings P. Jean-Jacques |
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.