Title
Perfect-Information Games with Lower-Semicontinuous Payoffs
Abstract
We prove that every multiplayer perfect-information game with bounded and lower-semicontinuous payoffs admits a subgame-perfect ε-equilibrium in pure strategies. This result complements Example 3 in Solan and Vieille [Solan, E., N. Vieille. 2003. Deterministic multi-player Dynkin games. J. Math. Econom.39 911--929], which shows that a subgame-perfect ε-equilibrium in pure strategies need not exist when the payoffs are not lower-semicontinuous. In addition, if the range of payoffs is finite, we characterize in the form of a Folk Theorem the set of all plays and payoffs that are induced by subgame-perfect 0-equilibria in pure strategies.
Year
DOI
Venue
2010
10.1287/moor.1100.0469
Math. Oper. Res.
Keywords
DocType
Volume
N. Vieille,Perfect-Information Games,J. Math,Lower-Semicontinuous Payoffs,Folk Theorem,Deterministic multi-player Dynkin game,pure strategy,multiplayer perfect-information game,lower-semicontinuous payoff
Journal
35
Issue
ISSN
Citations 
4
0364-765X
12
PageRank 
References 
Authors
0.94
5
6
Name
Order
Citations
PageRank
János Flesch110826.87
Jeroen Kuipers213014.48
Ayala Mashiah-Yaakovi3212.80
Gijs Schoenmakers4417.21
Eilon Solan524140.21
Koos Vrieze6567.43