Gasarch, Golub, and Srinivasan studied the Robin Hood game in the case of random, memoryless strategies. In this brief note we extend their main result to the case of bounded memory, and clarify several questions raised by them. 1. The Robin Hood game The Robin Hood game RH(r, s, A) is defined for functions r, s : N → N such that 1 ≤ r(i) < s(i) for each i, and for a set A, as follows: (1) On d...