TY - GEN

T1 - Some extensions of discrete fixed point theorems and their applications to the game theory

AU - Kawasaki, Hidefumi

PY - 2009

Y1 - 2009

N2 - As is well-known in the game theory, fixed point theorems are useful to show the existence of Nash equilibrium. Since they are mathematical tools in continuous variables, it is expected that discrete fixed point theorems also useful to guarantee the existence of pure-strategy Nash equilibrium. In this talk, we review three types of discrete fixed point theorems, give some extensions, and apply them to non-cooperative games.

AB - As is well-known in the game theory, fixed point theorems are useful to show the existence of Nash equilibrium. Since they are mathematical tools in continuous variables, it is expected that discrete fixed point theorems also useful to guarantee the existence of pure-strategy Nash equilibrium. In this talk, we review three types of discrete fixed point theorems, give some extensions, and apply them to non-cooperative games.

UR - http://www.scopus.com/inward/record.url?scp=70450185870&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70450185870&partnerID=8YFLogxK

U2 - 10.1063/1.3241640

DO - 10.1063/1.3241640

M3 - Conference contribution

AN - SCOPUS:70450185870

SN - 9780735407091

T3 - AIP Conference Proceedings

SP - 941

EP - 944

BT - Numerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009

T2 - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009

Y2 - 18 September 2009 through 22 September 2009

ER -