In this paper, we propose a probabilistic combinatorial game, the G(r,s,p) reward game, in the two-opponent stochastic online game setting. The proposed game rewards players on consecutive wins, whose inspiration is from the winning streak feature in Hearthstone, a free-to-play online digital...

In this paper, we propose a novel simultaneous two-dimensional continuous-time Markov chain (CTMC) approximation method, in contrast to the existing double-layer approach, to approximate the general fully coupled Markov diffusion processes which cover all the classical models. Extensive...