Before revision:  Finally, we show that neutral players learn from each other, receiving strictly higher total rewards than they would playing alone, for all p\in (p^*, g (\mu,\beta) ), where p^* is the threshold above which competing players do not explore. We show similar phenomena in the finite horizon setting .
After revision:  Finally, we show that neutral players learn from each other, receiving strictly higher total rewards than they would playing alone, for all p\in (p^*, g (\mu,\beta) ), where p^* is the threshold from the competing case. Finally, we show that competing and neutral players eventually settle on the same arm in every Nash equilibrium, while this can fail for cooperating players .