Article ID: | iaor20164229 |
Volume: | 41 |
Issue: | 4 |
Start Page Number: | 1208 |
End Page Number: | 1221 |
Publication Date: | Nov 2016 |
Journal: | Mathematics of Operations Research |
Authors: | Flesch Jnos, Predtetchinski Arkadi |
Keywords: | information |
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.