
Accession Number : AD0680607
Title : ON SOME FURTHER PROPERTIES OF NONZEROSUM DIFFERENTIAL GAMES.
Descriptive Note : Technical rept.,
Corporate Author : HARVARD UNIV CAMBRIDGE MASS DIV OF ENGINEERING AND APPLIED PHYSICS
Personal Author(s) : Starr,A. W. ; Ho,Y. C.
Report Date : NOV 1968
Pagination or Media Count : 25
Abstract : The general nonzerosum differential game has N players, each controlling a different set of inputs to a single nonlinear dynamic system and each trying to minimize a different performance criterion. Several interesting new phenomena arise in these general games which are absent in the two bestknown special cases (the optimal control problem and the two person zerosum differential game). This paper considers some of the difficulties which arise in attempting to generalize ideas which are wellknown in optimal control theory, such as the 'principle of optimality' and the relation between 'openloop' and 'closedloop' controls. Two types of 'solutions' are discussed: the 'Nash equilibrium' and the 'noninferior set.' Some simple multistage discrete (bimatrix) games are used to illustrate phenomena which also arise in the continuous formulation. (Author)
Descriptors : (*GAME THEORY, *ECONOMICS), DYNAMIC PROGRAMMING, CONTROL SYSTEMS, OPTIMIZATION, FEEDBACK, COSTS
Subject Categories : Economics and Cost Analysis
Operations Research
Distribution Statement : APPROVED FOR PUBLIC RELEASE