First would be interesting to change the structure of the interactions and observe how robust are the results. The best approach would be using a computational model and simulate our framework on a lattice. We expect to find interesting clustering or group behavior. Second it would be very interesting to model cultural diffusion and look for absorbing sets in which part of the population go and see the movie while other not, without any incentive for a single agent surrounded by agents having the same strategy to unilaterally change action. Also for this kind of problem, a computational model would constitute a better methodology.
Movies come in several types unknown to the potential spectator.
M heterogeneous agents are arranged on a circle. Deciding of going to the movie theater or not is a random choice. Neighbors are assumed to do the same. Agent have rational expectations so that . If we now assume that then the story becomes interesting.