We study perfect information games played by an infinite sequence of players, each acting only once in the course of the game. We introduce a class of frequency-based minority games and show that these games have no subgame perfect ϵ-equilibrium for any ϵ sufficiently small. Furthermore, we present a number of sufficient conditions to guarantee existence of subgame perfect ϵ-equilibrium.
- Infinitely many players
- Minority games
- Subgame perfect ϵ-equilibria
- Upper semicontinuous functions