van den Brink, J.R., van der Laan, G. and Moes, N. (2013). A strategic implementation of the average tree solution for cycle-free graph games Journal of Economic Theory, 148(6):2737--2748.
Affiliated authorsRene van den Brink, Nigel Moes
JournalJournal of Economic Theory
In this note we provide a strategic implementation of the Average Tree solution for zero-monotonic cycle-free graph games. That is, we propose a non-cooperative mechanism of which the unique subgame perfect equilibrium payoffs correspond to the average hierarchical outcome of the game. This mechanism takes into account that a player is only able to communicate with other players (i.e., to make proposals about a division of the surplus of cooperation) when they are connected in the graph. © 2013 Elsevier Inc.