On the Class of Games over Function Space and Related Variational Problems

摘要

A certain class of two person zero sum games in which the players have functions as pure strategies is considered. A notion of mixed strategy is defined for such games, and a theorem is proved insuring the existence of solutions in mixed strategies. By specializing to consider games in which one player has a passive role, some apparently new information on the existence of solutions to certain variational problems is obtained. (Author)