DISCRETE FIXED POINT THEOREMS AND THEIR APPLICATION TO NASH EQUILIBRIUM

Preprint, Other literature type English OPEN
Sato, Junichi; Kawasaki, Hidefumi;
(2007)
  • Publisher: Faculty of Mathematics, Kyushu University
  • Journal: MHF Preprint Series,volume 2007-4 (issn: 1027-5487)
  • Publisher copyright policies & self-archiving
  • Related identifiers: doi: 10.11650/twjm/1500405347
  • Subject: bimatrix game | pure strategy | $n$-person non-cooperative game | Nash equilibrium | n-person non-cooperative game | 91A10 | 47H10 | 91A05 | 91A06 | discrete fixed point theorem | 91B50
    acm: TheoryofComputation_MISCELLANEOUS | TheoryofComputation_GENERAL
    arxiv: Computer Science::Computer Science and Game Theory

Fixed point theorems are powerful tools in not only mathematics but also economic. In some economic problems, we need not real-valued but integer-valued equilibriums. However, classical fixed point theorems guarantee only real-valued equilibria. So we need discrete fixe... View more
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