𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Existence of a value in games governed by generalized differential equations

✍ Scribed by L.S. Zaremba

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
367 KB
Volume
4
Category
Article
ISSN
0167-6911

No coin nor oath required. For personal study only.

✦ Synopsis

A two-person zero-sum game with fixed time duration and the dynamics governed by a system of generalized differential equations is investigated. We focus our attention on the case where player I has to satisfy some general type phase constraints. In the course of the game both players can apply any lower II-strategy.

The main result is the existence of a value in the strong sense (this concept is introduced in this paper).

πŸ“œ SIMILAR VOLUMES

Existence of value in a differential gam
Existence of value in a differential game
✍ L.S. Zaremba πŸ“‚ Article πŸ“… 1982 πŸ› Elsevier Science 🌐 English βš– 302 KB

A two-person zero-sum differential game with general type phase constraints and the cost function of the form C = mllX{a(l.X(I). y(fΒ»: ,\*,,"I.,.;T M }. where TAl denotes the end of the game. is investigated. Player I possesing incomplete informution can select any lower rI-strategy (in the Friedman