We study the multi-type stochastic evolutionary game with death–birth updating in expanding spatial populations of size N??. The model is a voter perturbation. For typical eligible populations, we require perturbation strengths satisfying 1/N?w?1. Under these conditions, main results prove that vector density processes type obey an extended replicator equation limit, and normalized fluctuations...

With computers becoming ubiquitous and high resolution graphics reaching the next level, computer games have become a major source of entertainment. It has been a tedious task for game developers to measure the entertainment value of the computer games. The entertainment value of a game does depend upon the genre of the game in addition to the game contents. In this paper, we propose a set of e...