网格资源分配博弈的随机动态分析*

针对网格资源分配的优化问题，提出利用随机动态来研究有限网格群体博弈的分析方法。通过建立网格使用者策略选择的随机模型来分析有限网格群体的博弈，并利用期望效用生成选择过程的量化指标来判断使用者在反复博弈中策略选择的变化方向及其稳定性。最后通过仿真实例的研究结果表明，在效用矩阵不变的情况下，群体规模是影响网格使用者策略选择方案的一个重要因素。

Stochastic dynamics analysis of resource allocation game in grid environment

To address the problem of optimal allocation of grid resource, this paper proposed an analysis method for studying the game with finite population using stochastic dynamics. Established stochastic model for user strategy selections to study the game with finite population. According to the expectation utilities of user, produced invasion and fixation rates to quantify selection pressure during the repeated games. Finally, detailed the effects of population size on selection scenario under fixed utility matrix through example. The results show that the grid population size is a vital factor to effect the strategy selection of user that aims to maximize its own utility in grid resource allocation.