www.coalitiontheory.net
Published on www.coalitiontheory.net (http://www.coalitiontheory.net)

Home > Subgame-Perfect ϵ-Equilibria in Perfect Information Games with Common Preferences at the Limit

Subgame-Perfect ϵ-Equilibria in Perfect Information Games with Common Preferences at the Limit

Article
Author/s: 
János Flesch, Arkadi Predtetchinski
Mathematics of Operations Research
Issue number: 
Volume 41, Issue 4
Publisher: 
Informs
Year: 
2016
Journal pages: 
1208 - 1221
Journal article [1]
We prove the existence of a pure subgame–perfect epsilon–equilibrium, for every epsilon > 0, in multiplayer perfect information games, provided that the payoff functions are bounded and exhibit common preferences at the limit. If, in addition, the payoff functions have finite range, then there exists a pure subgame–perfect 0–equilibrium. These results extend and unify recent existence theorems for bounded and semicontinuous payoffs.
Tags: 
Game Theory & Graphs [2]

Source URL:http://www.coalitiontheory.net/content/subgame-perfect-%CF%B5-equilibria-perfect-information-games-common-preferences-limit

Links
[1] http://pubsonline.informs.org/doi/abs/10.1287/moor.2015.0774 [2] http://www.coalitiontheory.net/research-areas/game-theory-graphs