Nonzero Sum Differential Games,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1971
- Accession Number
- AD0728328
Entities
People
- Edward B. Tennis
Organizations
- University of California, Los Angeles