Title
A folk theorem for minority games
Abstract
We study a particular case of repeated games with public signals. In the stage game an odd number of players have to choose simultaneously one of two rooms. The players who choose the less crowded room receive a reward of one euro (whence the name “minority game”). The players in the same room do not recognize each other, and between the stages only the current majority room is publicly announced. We show that in the infinitely repeated game any feasible payoff can be achieved as a uniform equilibrium payoff, and as an almost sure equilibrium payoff. In particular we construct an inefficient equilibrium where, with probability one, all players choose the same room at almost all stages. This equilibrium is sustained by punishment phases which use, in an unusual way, the pure actions that were played before the start of the punishment.
Year
DOI
Venue
2005
10.1016/j.geb.2004.09.013
Games and Economic Behavior
Keywords
DocType
Volume
C72
Journal
53
Issue
ISSN
Citations 
2
0899-8256
7
PageRank 
References 
Authors
0.84
11
3
Name
Order
Citations
PageRank
Jérôme Renault111718.13
Sergio Scarlatti2162.61
Marco Scarsini316433.96