Accession Number : AD0655626

Title :   PART VII. THE NONSYMMETRIC GAME: THE GENERALIZED BEAT-THE-AVERAGE 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 two-person games has been called the 'maximize the difference' solution and in general n-person games the 'beat-the-average' solution. There is a natural extension of beat-the-average 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