TY - JOUR
T1 - Discrete fixed point theorems and their application to Nash equilibrium
AU - Sato, Jun Ichi
AU - Kawasaki, Hidefumi
N1 - Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2009
Y1 - 2009
N2 - In this paper, we present discrete fixed point theorems. They are based on monotonicity of the mapping. We apply them to a non-cooperative n-person game and give an existence theorem of a Nash equilibrium of pure strategies. As a special case, we consider bimatrix games.
AB - In this paper, we present discrete fixed point theorems. They are based on monotonicity of the mapping. We apply them to a non-cooperative n-person game and give an existence theorem of a Nash equilibrium of pure strategies. As a special case, we consider bimatrix games.
UR - http://www.scopus.com/inward/record.url?scp=70450183319&partnerID=8YFLogxK
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U2 - 10.11650/twjm/1500405347
DO - 10.11650/twjm/1500405347
M3 - Article
AN - SCOPUS:70450183319
VL - 13
SP - 431
EP - 440
JO - Quaternary International
JF - Quaternary International
SN - 1040-6182
IS - 2 A
ER -