Maximal strategy sets for continuous-time game theory (Q1190242)

The author studies extensive games, where the players have the possibility of choosing their actions at arbitrary time-points in the continuum (a time-interval), and each of them has full information on the current behaviour of other players during the game. The payoff functions in different models of such games are defined on some special space of vectors of the players' strategies. This space is constructed with the help of cardinal numbers, and is such a maximal set of the players' strategies, which has enabled the author to overcome theoretical difficulties arising in studying of continuous-time games.