The Second Order CA-Based Multi-agent Systems with Income Sharing

We consider a multi-agent system composed of the second-order nonuniform Cellular Automata (CA)-based agents, where a spatial Prisoner's Dilemma (PD) game describes the interaction between agents. Each agent has some strategy that can change in time and acts in such a way to maximize its income. We intend to study conditions of emergence of collective behavior in such systems measured by the average total payoff of a team of agents in the game or by an equivalent measure - the total number of cooperating players. While the emergence of collective behavior depends on many parameters, we introduce to the game an income sharing mechanism, giving a possibility to share incomes locally by agents wishing to do it. We present results showing that under some conditions, the introduced mechanism can significantly increase the level of collective behavior.