基于MAS的改进的囚徒困境模型研究

Modified Game Model with Payment Based on MAS

通过对传统博弈模型的分析,针对其效率低的Nash平衡解,提出了具有激励机制的改进的“囚徒困境”模型。改进模型包括两个阶段,第一个阶段双方要独立给出用于激励对方合作所支付的成本,第二个阶段双方根据修改后的收益矩阵进行博弈。详细分析了改进模型,并应用基于MAS的建模方法进行了建模仿真。理论分析和仿真结果均表明,在改进博弈模型中采取合作策略的百分比高于传统博弈模型中采取相同策略的百分比,系统收益输出具有Pareto效率,影响收益输出的主要因素是双方提供的支付成本大小。

A modified game model with payment is considered after an analysis of the traditional Prisoners' Dilemma game model. There are two stages in the modified game model with payment, one stage is each player in game needs to give his cost in order to inspire the other part to adopt cooperation strategy;and the other is both players start to play game with modified payoff matrix. Based on MAS modeling method, a modified game model is analyzed. The results show that the system is of Pareto efficient when players play game in the new modified model with differental payoff matrix and the costs of both parts for payment are the main factors affecting outcome.