A GAME WITH NO SOLUTION,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1967
- Accession Number
- AD0661544
Entities
People
- W. F. Lucas
Organizations
- RAND Corporation