A Concept of Optimality in Differential Games.
Abstract
A new concept of optimality in zero-sum, two-play differential games is presented and studied. This concept consists of a 'local semipermeable condition' and a 'global reprisal condition'. The latter is introduced to overcome certain difficulties which arise in differential games in which there exist strategy pairs which yield paths which do not meet the terminal surface (or set). It is shown that when specified conditions are satisfied, distinct optimal strategies yield the same value function, optimal strategies are interchangeable, and the resulting value function satisfies Isaacs' equation. Furthermore, in games of finite duration or other 'all-terminating' games, this concept reduces to the classical saddle-point formulation. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1974
- Accession Number
- AD0784008
Entities
People
- J. Bradley
- P. L. Yu
Organizations
- University of Texas at Austin