Title
Incomplete stable structures in symmetric convex games
Abstract
We study the model of link formation that was introduced by Aumann and Myerson [in: A. Roth (Ed.), The Shapley Value. Cambridge Univ. Press, 1988, pp. 175–191] and focus on symmetric convex games with transferable utilities. We show that with at most five players the full cooperation structure results according to a subgame perfect Nash equilibrium. Moreover, if the game is strictly convex then every subgame perfect Nash equilibrium results in a structure that is payoff equivalent to the full cooperation structure. Subsequently, we analyze a game with six players that is symmetric and strictly convex. We show that there exists a subgame perfect Nash equilibrium that results in an incomplete structure in which two players are worse off than in the full cooperation structure, whereas four players are better off. Independent of the initial order any pair of players can end up being exploited.
Year
DOI
Venue
2004
10.1016/j.geb.2003.06.001
Games and Economic Behavior
Keywords
DocType
Volume
C71,C72
Journal
48
Issue
ISSN
Citations 
1
0899-8256
1
PageRank 
References 
Authors
0.50
2
2
Name
Order
Citations
PageRank
Marco Slikker119146.31
Henk Norde213521.14