地理复杂网络上的演化博弈研究

The study of geographical complex networks is one recent focus in the field of complex networks. In this project, by means of multi-agent simulation and numerical simulation, the research of evolutionary games on geographical complex networks is conducted to reveal the laws governing individuals' behavioral decisions in the evolution and clarify the mechanisms for the evolution, maintenance and promotion of cooperation under geographical constraint. Based upon the basic model of evolutionary games on geographical networks, there are three major issues: the influences of partner-switching mechanisms upon the evolution of cooperation are investigated, game strategies and partner-switching strategies for agents on geographical planes are studied, and optimal mechanisms of partner switching are designed; By introducing the regional failure mode, the robustness of cooperative behavior in evolutionary games on geographical complex networks is analyzed and the corresponding optimization methods are studied in respect of network structure and external control; an extended model with two stages of social production and disaster mitigation is proposed based upon the model of evolutionary games on geographical complex networks, the dynamical process of such a model under geographical constraints is analyzed, and mechanisms of promoting cooperation are designed. This research project helps understanding the effects of geographical constraints upon the structure of complex networks as well as the dynamics of evolutionary games on complex networks systematically.

地理复杂网络是复杂网络研究的近期热点之一。本项目采用多智能体仿真、数值模拟等方法，进行地理复杂网络上演化博弈研究，揭示演化中个体行为决策规律，阐明地理约束下合作演化、维持和提升机制。在地理复杂网络上演化博弈基本模型的基础上，主要研究内容分为三部分：研究伙伴选择机制在地理约束下对合作演化的作用机理，研究智能体在地理平面上博弈策略、伙伴选择策略，设计伙伴选择的优化机制；引入区域性失效模式，分析地理复杂网络上演化博弈中合作行为在此类失效模式下的鲁棒性，研究相应的网络结构优化和外部控制优化手段；提出基于地理复杂网络上演化博弈的社会生产—灾害治理两阶段演化模型，分析该模型在地理约束下的动力学过程，研究合作提升机制。本课题有助于较系统地理解地理约束对复杂网络的结构与演化博弈动力学的影响机理。

地理复杂网络在人类活动中发挥重要作用。本项目采用多智能体建模、数值模拟等方法，研究地理复杂网络上演化博弈动力学，揭示地理性对复杂网络结构和演化博弈动力学的影响机理。本项目主要研究工作包括：研究伙伴选择机制在地理约束下对合作演化的作用机理，研究智能体在地理平面上博弈策略、伙伴选择策略，设计伙伴选择的优化机制；引入区域性失效模式，分析地理复杂网络上演化博弈中合作行为在此类失效模式下的鲁棒性，研究相应的网络结构优化和外部控制优化手段；提出基于地理复杂网络上演化博弈的社会生产—灾害治理两阶段演化模型，分析该模型在地理约束下的动力学过程，研究合作提升机制。通过三年研究，取得了如下主要成果：提出了地理复杂网络区域性失效模型，分析了提升地理复杂网络鲁棒性的两类网络结构优化方法；理解了地理效应对合作演化的影响机理；从理论上解释了复杂网络上合作演化模型中模仿规则盛行的原因。受到本项目资助，目前共计发表了5篇高质量的SCI/SSCI检索期刊论文。这些研究成果为地理复杂网络鲁棒性分析、优化设计拓展新思路，加深了对地理复杂网络如何自组织和自演化的认识，有助于理解人类认知、学习机制对于合作演化的重要作用。