Abstract
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.
| Original language | English |
|---|---|
| Title of host publication | Numerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009 |
| Pages | 941-944 |
| Number of pages | 4 |
| Volume | 1168 |
| DOIs | |
| Publication status | Published - Nov 26 2009 |
| Event | International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009 - Rethymno, Crete, Greece Duration: Sep 18 2009 → Sep 22 2009 |
Other
| Other | International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009 |
|---|---|
| Country | Greece |
| City | Rethymno, Crete |
| Period | 9/18/09 → 9/22/09 |
Fingerprint
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
Cite this
Some extensions of discrete fixed point theorems and their applications to the game theory. / Kawasaki, Hidefumi.
Numerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009. Vol. 1168 2009. p. 941-944.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Some extensions of discrete fixed point theorems and their applications to the game theory
AU - Kawasaki, Hidefumi
PY - 2009/11/26
Y1 - 2009/11/26
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
VL - 1168
SP - 941
EP - 944
BT - Numerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009
ER -