Title :
On some properties of the characteristic function and the core of a multistage game of coalitions
Author_Institution :
Ecole des Hautes Etudes Commerciales, Montreal, P.Q., Canada
fDate :
4/1/1975 12:00:00 AM
Abstract :
The Characteristic Function and the Core of a game described by a multistage control system, are studied. It is shown that the concept of Core must be strengthened to provide collective rationality in a multistage game with feedback strategies. A dynamic programming algorithm is proposed to compute the characteristic function of a game described by a linear system.
Keywords :
Differential games; Discrete-time systems, nonlinear; Linear systems, time-varying discrete-time; Nonlinear systems, discrete-time; Control systems; Cost function; Dynamic programming; Equations; Feedback control; Minimax techniques; Optimal control; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1975.1100928
