针对经济模型的网格系统中资源分配的竞争问题,应用进化博弈论中多种群复制动态博弈模型对有限理性网格用户有差别的出价策略进行了研究,提出了一种非对称进化资源分配博弈模型,该模型将网格用户分为出价偏低的保守种群和出价偏高的激进种群,分析了两种网格种群采取合作与竞争策略的自发进化过程,求解了各自的复制动态方程,并通过实例化的非对称支付矩阵求解了复制动态系统的进化稳定策略。研究表明,只有博弈双方选择对等的行为策略才能促进网格资源的公平分配。
Aiming at the heterogeneity of users in grid system based on economic model,the evolutionary game theory of multi-population replicator dynamics is applied to research different bidding strategies of grid users with bounded rationality. The grid users are divided into conservative population with low bidding and radical population with high bidding, and the spontaneous evolutionary process of cooperation and competition strategy in two grid populations is analyzed.Finally,the replicator dynamics equation is solved respectively and evolutionarily stable strategies of replicator dynamics system are obtained through a specific asymmetric payoff matrix.The studies show that only reciprocal behavior strategies selected by two game sides can promote equitable allocation of grid resources.