Accession Number : AD0604217

Title :   ON THE CLASS OF GAMES OVER FUNCTION SPACE AND RELATED VARIATIONAL PROBLEMS,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Fleming,W. H.

Report Date : 20 MAY 1953

Pagination or Media Count : 37

Abstract : 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)

Descriptors :   (*GAME THEORY, CALCULUS OF VARIATIONS), (*CALCULUS OF VARIATIONS, GAME THEORY), FUNCTIONS(MATHEMATICS), SET THEORY, THEOREMS, OPTIMIZATION, CONVEX SETS

Distribution Statement : APPROVED FOR PUBLIC RELEASE