Accession Number:

AD0661544

Title:

A GAME WITH NO SOLUTION,

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CALIF

Personal Author(s):

Report Date:

1967-11-01

Pagination or Media Count:

11.0

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

Subject Categories:

  • Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE