Accession Number : AD0623459

Title :   MEASURABLE GAMBLING HOUSES,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Strauch,Ralph E.

Report Date : NOV 1965

Pagination or Media Count : 19

Abstract : It is shown in this paper that given a Borel measurability structure of the type used by Blackwell in dynamic programming, the utility of the house, while not necessarily Borel measurable, is absolutely measurable and hence its integral is defined with respect to any Borel measure. (A function is absolutely measurable if it is measurable with respect to the completion of the Borel sets under any measure.) Moreover, the gambler can do as well using only measurable policies (defined below) as he can using arbitrary policies.

Descriptors :   (*GAME THEORY, MEASURE THEORY), (*MEASURE THEORY, GAME THEORY), FUNCTIONAL ANALYSIS, PROBABILITY, DYNAMIC PROGRAMMING

Distribution Statement : APPROVED FOR PUBLIC RELEASE