A Tarski-type fixed point theorem for an ascending correspondence on a complete lattice is proved and then applied to show that the set of Nash equilibria of a supermodular game is a complete lattice. (C) 1994 Academic Press, Inc.
机构:
Rutgers State Univ, Dept Management Sci & Informat Syst, Piscataway, NJ 08855 USARutgers State Univ, Dept Management Sci & Informat Syst, Piscataway, NJ 08855 USA
Yang, Jian
Qi, Xiangtong
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Hong Kong Univ Sci & Technol, Dept Ind Engn & Logist Management, Hong Kong, Hong Kong, Peoples R ChinaRutgers State Univ, Dept Management Sci & Informat Syst, Piscataway, NJ 08855 USA