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 |
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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 |
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Country/Territory | Greece |
City | Rethymno, Crete |
Period | 9/18/09 → 9/22/09 |
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)