Accession Number : AD0784434

Title :   Some Basic Properties of the Payoffs Defined by Closed-Loop Strategies.

Descriptive Note : Research rept.,

Corporate Author : TEXAS UNIV AUSTIN CENTER FOR CYBERNETIC STUDIES

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

Report Date : JUL 1974

Pagination or Media Count : 38

Abstract : Let x = f(x, mu, nu) be the kinematic equation of a 2-person, zero-sum differential game where (mu, nu) is of class C(m) on the playing space. It is shown that, whenever f(x, mu, nu) is not tangent to the terminal surface C, there exists a neighborhood of C in which every point y can be uniquely represented as (tau, (y sub 0)), where gamma is a solution to the kinematic equations, (y sub 0) is in C, and tau is the time until the path originating at y meets (y sub 0). (Modified author abstract)

Descriptors :   *Game theory, Strategy, Control theory, Differential equations, Matrices(Mathematics), Theorems

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE