The Set of Correlated Equilibria 2 x 2 Games
We develop a geometric procedure to get all correlated equilibria in a 2 x 2 game. With this procedure we can actually "see" all the correlated strategy profiles of a given game and compare it to the convex hull of the Nash equilibrium profiles. Games without dominant strategies fall into two different equivalence classes: (i) competitive games, that have a unique correlated equilibrium strategy, and (ii) coordination and anticoordination games, whose set of correlated equilibria is a polytope with five vertices for which we provide general closed-form expressions. In this latter case, there are either three or four vertices for the payoffs. In contrast, the convex hull of the Nash equilibrium strategies and payoffs always have three vertices.
|Date of creation:||Oct 2003|
|Date of revision:|
|Contact details of provider:|| Postal: |
Phone: +34 93 542-1222
Fax: +34 93 542-1223
Web page: http://www.barcelonagse.eu
More information through EDIRC
When requesting a correction, please mention this item's handle: RePEc:bge:wpaper:79. 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: (Bruno Guallar)
If references are entirely missing, you can add them using this form.