Parametric nash coalitive differential games

✍ Scribed by E. Youness; J.B. Hughes; N.A. El-Kholy

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 532 KB
• Volume: 26
• Category: Article
• ISSN: 0895-7177
• DOI: 10.1016/s0895-7177(97)00125-8

✦ Synopsis

In this paper we present the qualitative and quantitative analysis of open loop coalitive Nash equilibrium solutions to differential games of fixed duration with general parameters in the cost functions. The solvability set and the stability sets of the first and the second kind are defined and algorithms for determining these sets are presented Finally an illustrative example is given. Keywords-Differential game, Coalitive open-loop Nash equilibrium solution, Stability set of the first kind, Stability set of the second kind, Theorem of alternatives.