| Article ID: | iaor19992509 |
| Country: | Germany |
| Volume: | 27 |
| Issue: | 2 |
| Start Page Number: | 219 |
| End Page Number: | 229 |
| Publication Date: | Jan 1998 |
| Journal: | International Journal of Game Theory |
| Authors: | Mendez-Naya L. |
This paper approaches infinite matrix games through the weak topology on the players' sets of strategies. A new class of semi-infinite and infinite matrix games is defined, and it is proved that these games always have a value and optimal strategies for each player. Using these games it is proved that some other important classes of infinite matrix game also have values.