基于奖惩并举策略的智猪控制网络演化博弈的动态分析

The Dynamic Processes of the Control Network Evolution Based on Boxed Pigs Game with the Strategy of Punishment and Incentive

以矩阵半张量积为基本工具研究了基于奖惩并举策略的智猪控制网络演化博弈的动态过程.分析了演化过程全局收敛到全合作的均衡状态的充要条件并设计出了相应的控制序列,给出了在一系列控制下使得演化动态达到全合作的初始状态的选取方法,简单讨论了奖惩因子对最终合作水平的影响.

This paper investigates the dynamic processes of the control network evolution based on boxed pigs game with the strategy of punishment and incentive by the semi-tensor product method. The corresponding control sequence are designed and a necessary and sufficient condition which can make the whole evolutionary process converges to the state of completely cooperation are obtained; the option of the initial states which can make the evolutionary dynamics reach to the state of completely cooperation under a sequence of controls are analyzed; the impact of parameter on the final cooperation level are discussed simply.