Accession Number : AD0784008

Title :   A Concept of Optimality in Differential Games.

Descriptive Note : Research rept.,

Corporate Author : TEXAS UNIV AUSTIN CENTER FOR CYBERNETIC STUDIES

Personal Author(s) : Bradley,J. ; Yu,P. L.

Report Date : MAY 1974

Pagination or Media Count : 20

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)

Descriptors :   *Game theory, Strategy, Convex sets, Theorems, Optimization

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE