This paper analyses a stopping game in which two players choose between learning about the quality of their private risky arm, and competing for the use of a single shared safe option. A player whose risky arm produces a success stops competing for the safe option. We assume that each player...

This paper analyses a two-player stopping game with multiarmed bandits in which each player chooses between learning about the quality of her private risky arm and competing for the use of a single shared safe arm. The qualities of the players' risky arms are independent. A player whose risky...