Accession Number : AD0759762

Title :   Values in Differential Games.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Danskin,John M.

Report Date : APR 1973

Pagination or Media Count : 11

Abstract : The author introduces a new value, the omega-value, into differential games, and proves that six well-known values for games of perfect information now in the literature are special cases of it. It is proven that two (in the present slightly altered formulation four) values introduced in 1972 by Elliott and Kalton using relaxed controls are equal to the mixed-strategy value introduced by Fleming in 1964. Thus, of the twelve values just mentioned, there are only two which are essentially distinct: the new omega-value, and Fleming's 1964 value. Hamilton-Jacobi equations for the omega-value and for the Felming mixed-strategy value are announced as well. (Author Modified Abstract)

Descriptors :   (*GAME THEORY, THEOREMS), TOPOLOGY, VECTOR SPACES, DIFFERENTIAL EQUATIONS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE