Accession Number : AD0661544

Title :   A GAME WITH NO SOLUTION,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Lucas,W. F.

Report Date : NOV 1967

Pagination or Media Count : 11

Abstract : This is a report of a theoretical result in the mathematical theory of n-person games. Since von Neumann and Morgenstern defined a solution concept for n-person games in characteristic function form, it has been conjectured that every game has a solution. This study states the definition of an n-person game, and then provides a counter-example to the conjecture on existence by describing a ten-person game that has no solution. (Author)

Descriptors :   (*GAME THEORY, PROBLEM SOLVING), SET THEORY, MATHEMATICAL MODELS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE