Recently a new approximate approach based on Laplace transform for steady state probabilities has been proposed by Hamzeh Khazaei " et al . ".
2.
In fact, Game B is a Markov chain, and an analysis of its state transition matrix ( again with M = 3 ) shows that the steady state probability of using coin 2 is 0.3836, and that of using coin 3 is 0.6164.