The Nash-Slater solution of a hierarchical differential game under uncertainty

Authors
Tarakanov, AF
Citation
Af. Tarakanov, The Nash-Slater solution of a hierarchical differential game under uncertainty, J COMP SYST, 39(4), 2000, pp. 553-560
Citations number
8
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL
ISSN journal
10642307 → ACNP
Volume
39
Issue
4
Year of publication
2000
Pages
553 - 560
Database
ISI
SICI code
1064-2307(200007/08)39:4<553:TNSOAH>2.0.ZU;2-3
Abstract
In this paper, a model of a game in a two-level dynamical system under unce rtainty is constructed. In such a game, the suggested Nash-Slater solution is unimprovable. If the players are assumed to be friendly with each other, the construction of the total payoff guarantees that the solution is a Par eto one. For the linear-quadratic version of the game, sufficient optimalit y conditions are obtained for the problems of constructing the individual a nd the total payoff.