Vol. 28, No. 3, 1969

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 297: 1
Vol. 296: 1  2
Vol. 295: 1  2
Vol. 294: 1  2
Vol. 293: 1  2
Vol. 292: 1  2
Vol. 291: 1  2
Vol. 290: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
Author Index
To Appear
 
ISSN: 0030-8730
Games with unique solutions that are nonconvex

William Franklin Lucas

Vol. 28 (1969), No. 3, 599–602
Abstract

In 1944 von Neumann and Morgenstern introduced a theory of solutions (stable sets) for n-person games in characteristic function form. This paper describes an eight-person game in their model which has a unique solution that is nonconvex. Former results in solution theory had not indicated that the set of all solutions for a game should be of this nature.

Mathematical Subject Classification
Primary: 90.70
Milestones
Received: 26 June 1967
Published: 1 March 1969
Authors
William Franklin Lucas