Accession Number : AD0603827

Title :   ON A THEOREM OF VILLE,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Bohnenblust,H. F. ; Karlin,S.

Report Date : 27 MAY 1949

Pagination or Media Count : 9

Abstract : Among the several procedures which lead to the existence of the value of a discrete two persons, zero sum game one is based on a theorem of Ville and another one is based on a fix point theorem of Kakutani. In the present paper these two theorems are extended under certain conditions to infinite dimensional spaces. The results are useful tools in the theory of non-discrete games.

Descriptors :   (*GAME THEORY, CONVEX SETS), (*CONVEX SETS, GAME THEORY), TOPOLOGY, FUNCTIONAL ANALYSIS, THEOREMS

Distribution Statement : APPROVED FOR PUBLIC RELEASE