Values in Differential Games.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1973
- Accession Number
- AD0759762
Entities
People
- John M. Danskin
Organizations
- University of Wisconsin–Madison