Theory of ac-games, a simple generalization of the theory of c-games

摘要

This is a simple generalization of the theory of c-games. A differential game is interpreted as a many person game where two or more coalitions are formed. A coalition change is defined in this case and the time this happens, also called c-time, is introduced. The quantities used to formulate the c-games and the methods introduced to obtain optimal c-times and optimal variables in general, apply in the present case without modification or with some very minor and obvious changes of the definitions used in c-games.