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Fixed Point Theorems for Correspondences With Values in a Partially Ordered Set and Extended Supermodular Games

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Resumo(s)

We present fixed point theorems for correspondences with values in a partially ordered set. generalizing Knaster-Tarski's fixed point theorem. We prove the existence of a Nash equilibrium for extended supermodular games. non-cooperative games where the strategy space is a quasi-lattice and the best reply satisfies certain monotonicity re-quirements.

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Palavras-chave

Partially ordered sets Correspondence Fixed point Non-cooperative game

Contexto Educativo

Citação

D'Orey, Vasco, Fixed Point Theorems for Correspondences With Values in a Partially Ordered Set and Extended Supermodular Games (1995). FEUNL Working Paper Series No. 252

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Nova SBE

Licença CC