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. © 2007 Elsevier B.V. All rights reserved.
Original language | English |
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Pages (from-to) | 89-93 |
Journal | Operations Research Letters |
Volume | 36 |
DOIs | |
Publication status | Published - 2008 |