THE PROOF THAT A GAME MAY NOT HAVE A SOLUTION,
Abstract
A solution concept for n-person games in characteristic function form was introduced in 1944 by von Neumann and Morgenstern. RAND Memorandum, 'A Game with No Solution' (November 1967), (AD-661 544), described a ten-person game having no solution, as a counterexample to the conjecture that every game has at least one solution. The present study reviews the definition of an n-person game, describes the counterexample again, and presents a detailed proof that this particular game has no solution.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1968
- Accession Number
- AD0664043
Entities
People
- William F. Lucas
Organizations
- RAND Corporation