Arbeitspapier
A Fixed Point Theorem for Discontinuous Functions
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.
- Language
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Englisch
- Bibliographic citation
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Series: Tinbergen Institute Discussion Paper ; No. 05-004/1
- Classification
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Wirtschaft
Existence and Stability Conditions of Equilibrium
Computational Techniques; Simulation Modeling
- Subject
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Fixed point
simplicial subdivision
discontinuity
equilibrium
Mathematische Ökonomie
Theorie
Gleichgewicht
- Event
-
Geistige Schöpfung
- (who)
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Herings, Jean-Jacques
van der Laan, Gerard
Talman, Dolf
Yang, Zaifu
- Event
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Veröffentlichung
- (who)
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Tinbergen Institute
- (where)
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Amsterdam and Rotterdam
- (when)
-
2004
- Handle
- Last update
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10.03.2025, 11:44 AM CET
Data provider
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Object type
- Arbeitspapier
Associated
- Herings, Jean-Jacques
- van der Laan, Gerard
- Talman, Dolf
- Yang, Zaifu
- Tinbergen Institute
Time of origin
- 2004
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