Accession Number : AD0716045

Title :   Some Recent Developments in n-Person Game Theory.

Descriptive Note : Technical rept.,

Corporate Author : CORNELL UNIV ITHACA N Y CENTER FOR APPLIED MATHEMATICS

Personal Author(s) : Lucas,William F.

Report Date : NOV 1970

Pagination or Media Count : 71

Abstract : A general survey of the mathematical theory of games is presented with particular emphasis on recent developments in the theory of the core and stable sets (solutions) for the multi-person games in characteristic function form and with side payments. Extensions to games without side payments, games with infinitely many players, and the partition function form are mentioned. The history leading up to the discovery of a ten-person game with no stable set is reviewed. The equilibrium theory for noncooperative games in normal form as well as additional cooperative solution concepts are covered very briefly. (Author)

Descriptors :   (*GAME THEORY, REVIEWS), STOCHASTIC PROCESSES, COSTS, STATISTICAL ANALYSIS, MATHEMATICAL LOGIC, STABILITY, MATHEMATICAL MODELS, PROBABILITY, SET THEORY, DECISION MAKING, DYNAMIC PROGRAMMING, LANCHESTER EQUATIONS, LINEAR PROGRAMMING, MINIMAX TECHNIQUE, SIMULATION

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE