Switching surfaces in N-person differential games

Sarma, I. G. ; Prasad, U. R. (1972) Switching surfaces in N-person differential games Journal of Optimization Theory and Applications, 10 (3). pp. 160-177. ISSN 0022-3239

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Official URL: http://www.springerlink.com/content/g153516147764m...

Related URL: http://dx.doi.org/10.1007/BF00934731


Switching surfaces in N-person differential games are essentially similar to those encountered in optimal control and two-person, zero-sum differential games. The differences between the Nash noncooperative solution and the saddle-point solution are reflected in the dispersal surfaces. These are discussed through classification and construction procedures for switching surfaces. A simple example of a two-person, nonzero-sum game is considered. A complete solution of this game will be presented in a companion paper.

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