On a mathematical formulation of the concept of changing coalitions in many person differential games

摘要

A differential game is interpreted as a many person game where two coalitions are formed. A coalition change is defined and the time this happens, called c-time, is introduced. Various methods are introduced to obtain optimal c-times. The above are generalized to an arbitrary number of coalition changes, cases where players change values of parameters of a differential game and cases where players choose different strategies in a differential game than those obtained by the Isaacs solution. A broader coalition is introduced that allows players to cooperate though they might be opponents in a particular differential game.