Cooperative vs. Non-Cooperative Truels: Little Agreement, But Does That Matter?
It is well-known that non-cooperative and cooperative game theory may yield different solutions to games. These differences are particularly dramatic in the case of truels, or three-person duels, in which the players may fire sequentially or simultaneously, and the games may be one-round or n-round. Thus, it is never a Nash equilibrium for all players to hold their fire in any of these games, whereas in simultaneous one-round and n-round truels such cooperation, wherein everybody survives, is in both the alpha-core and beta-core. On the other hand, both cores may be empty, indicating a lack of stability, when the unique Nash equilibrium is one survivor. Conditions under which each approach seems most applicable are discussed. Although it might be desirable to subsume the two approaches within a unified framework, such unification seems unlikely since the two approaches are grounded in fundamentally different notions of stability.
|Date of creation:||2000|
|Date of revision:|
|Contact details of provider:|| Postal: C.V. Starr Center, Department of Economics, New York University, 19 W. 4th Street, 6th Floor, New York, NY 10012|
Phone: (212) 998-8936
Fax: (212) 995-3932
Web page: http://econ.as.nyu.edu/object/econ.cvstarr.html
More information through EDIRC
|Order Information:|| Postal: C.V. Starr Center, Department of Economics, New York University, 19 W. 4th Street, 6th Floor, New York, NY 10012|
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Steven Brams & D. Kilgour, 1998.
"Backward Induction Is Not Robust: The Parity Problem and the Uncertainty Problem,"
Theory and Decision,
Springer, vol. 45(3), pages 263-289, December.
- Kilgour, D.M. & Brams, S.J., 1996. "Backward Induction is not Robust: The Parity Problem and the Uncertainty Problem," Working Papers 96-21, C.V. Starr Center for Applied Economics, New York University.
- Brams, Steven J. & Kilgour, D. Mark, 1997. "The Truel," Working Papers 97-05, C.V. Starr Center for Applied Economics, New York University.
When requesting a correction, please mention this item's handle: RePEc:cvs:starer:00-19. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Anne Stubing)
If references are entirely missing, you can add them using this form.