The evolution of strategies communities in the presence of sources

Abstract

The evolution of population of the strategies, limited only by the memory depth, in the presence of the sources of strategies of different memory depths has been considered. It has been shown that the memory depth and the complexity of strategies are evolutionarily beneficial. The properties of the strategies which form the stationary state have been established. It has been shown that the aggressiveness of the strategies falls in all cases and at the stationary stage all strategies have zero aggressiveness in relation to each other. This property can be used as the strategy selection principle. The relation between the aggressiveness and the number of points for a strategy move has been shown. The higher the aggressiveness, the fewer points of evolutionary advantage the strategy has.