A NODES-TOGGLING GAME WITH CONTROLLABLE STOPPING TIME
King -Tak Lee · International Game Theory Review · 2006
We consider a two-person multi-stage game with a very sparse information structure. Two players in the blind alternately move a chip which toggles the colors of nodes located around a circle. The second player also controls and picks the stopping time which is unknown to the first player. We solve this game by showing the first player has a strategy which is uniformly optimal against the strategies of the second player.