Accession Number : AD0728328

Title :   Nonzero Sum Differential Games,

Corporate Author : CALIFORNIA UNIV LOS ANGELES SCHOOL OF ENGINEERING AND APPLIED SCIENCE

Personal Author(s) : Tennis,Edward B.

Report Date : JUN 1971

Pagination or Media Count : 108

Abstract : The report presents a study of nonzero-sum games and differential games. Primary emphasis is placed on deterministic differential games with perfect information. The players are to select a pure strategy from admissible sets in seeking their equilibrium type solutions. Termination occurs when the state reaches a terminal manifold. The existence of pure strategy solution in both games and differential games is studied. The major steps in determining the conditions for the existence of pure strategy solution are to show that an equilibrium point exists, that the equilibrium point is also a solution point, and that the solution point is independent of the sequence in which the strategies are computed. The proofs for the existence of an equilibrium point make use of the fixed point theorems of Kakutani and of Bohnenblust. The existence proofs require continuity and convexity of the payoff functionals. These conditions are shown to be satisfied for a typical game problem. (Author)

Descriptors :   (*GAME THEORY, DIFFERENTIAL EQUATIONS), DECISION THEORY, ECONOMICS, WAR GAMES, MATHEMATICAL MODELS, STOCHASTIC PROCESSES, MINIMAX TECHNIQUE, SET THEORY, NUMERICAL ANALYSIS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE