A new theoretical analysis approach for a multi-agent spatial Parrondo’s game

For the multi-agent spatial Parrondo’s games, the available theoretical analysis methods based on the discrete-time Markov chain were assumed that the losing and winning states of an ensemble of N players were represented to be the system states. The number of system states was 2N types. However, the theoretical calculations could not be carried out when N became much larger. In this paper, a new theoretical analysis method based on the...