
Accession Number : AD0655626
Title : PART VII. THE NONSYMMETRIC GAME: THE GENERALIZED BEATTHEAVERAGE SOLUTION,
Corporate Author : YALE UNIV NEW HAVEN CONN COWLES FOUNDATION FOR RESEARCH IN ECONOMICS
Personal Author(s) : Levitan,Richard ; Shubik,Martin
Report Date : 26 JUN 1967
Pagination or Media Count : 10
Abstract : In previous papers we have considered an especially violent form of market behavior which in twoperson games has been called the 'maximize the difference' solution and in general nperson games the 'beattheaverage' solution. There is a natural extension of beattheaverage to the nonsymmetric case which in terms of interfirm comparison may serve as a benchmark for extreme competition. This solution we call 'maximize the share of industry profits. A closely related problem is discussed which has an interpretation in terms of different levels of cooperation. The solution of the cooperation parameter model gives the necessary computation method for the iteration procedure to calculate the maximum profit share solution. This is done in a computer program written by one of the authors.
Descriptors : (*GAME THEORY, MATHEMATICAL MODELS), MATRICES(MATHEMATICS), MANAGEMENT PLANNING AND CONTROL, MATHEMATICAL ANALYSIS
Subject Categories : Theoretical Mathematics
Operations Research
Distribution Statement : APPROVED FOR PUBLIC RELEASE