The article explores a game where players pick rooms to win money. The game has imperfect monitoring, meaning players don't know who's in their room. The researchers looked at a discounted and finitely repeated version of the game. They found that as the discount factor or number of repetitions increases, the possible winnings for players get closer to the best possible outcomes. They also discovered that the strategies players use when the room choice is publicly announced are more limited than when it's kept private.