基于博弈论的社会系统自组织演化动力学
发布时间：2018-08-28 17:13
【摘要】：目前,社会系统自组织演化的研究方兴未艾,新的模型、新的演化机制大量涌现。在本论文中,我们以社会系统中的人口系统为例,运用博弈理论来研究社会系统的白组织演化,主要研究了不同的网络拓扑结构、博弈模型的相关参数对社会系统自组织演化的影响。在论文第一章中,我们介绍了自组织理论、社会系统的研究进展和主要模型,并介绍了本论文的研究背景和意义。在论文第二章中,我们对本文有关的博弈模型和网络拓扑结构进行了介绍。在论文的第三、四、五章中,我们运用Monte-Carlo数值模拟方方法,分别将不同的博弈模型引入到社会系统自组织演化的研究中,并进行了实证分析。主要研究结果如下:(1)系统经过长时间演化后,网络中的少数格点聚集了大量粒子,粒子数分布满足帕累托分布;粒子数多的格点上的粒子数分布符合齐普夫定律,这与实际的人口分布规律符合得很好。(2)相比于规则网络和小世界网络,无标度网络结构下的系统自组织演化,其结果表现为博弈收益更高,粒子也更加聚集;在网络拓扑结构相同情况下,社会系统的自组织演化,其结果会随着管理效率、单位时间收益、合作效率参数的提升,也表现出博弈收益更高,合作率更高、粒子更加聚集,而且随着风险系数的提高,系统内各策略的收益将降低。第六章是本论文的总结和展望。
[Abstract]:At present, the research of social system self-organization evolution is in the ascendant, new models and new evolution mechanism emerge in large numbers. In this paper, we take the population system in the social system as an example and use the game theory to study the evolution of the white organization in the social system. The influence of the relevant parameters of the game model on the self-organization evolution of the social system. In the first chapter, we introduce the self-organization theory, the research progress and main models of social system, and introduce the research background and significance of this paper. In the second chapter, we introduce the game model and network topology. In the third, fourth and fifth chapters, we use the Monte-Carlo numerical simulation method to introduce different game models into the study of self-organization evolution of social systems, and carry out empirical analysis. The main results are as follows: (1) after a long period of evolution, a large number of particles are gathered in a few lattice points in the network, and the distribution of the number of particles satisfies the Pareto distribution, and the distribution of the number of particles on the lattice points with a large number of particles conforms to Zipf's law. This accords well with the actual population distribution. (2) compared with the regular network and the small-world network, the scale-free network structure of the system self-organization evolution, the results show that the game income is higher, the particles are also more concentrated; When the network topology is the same, the result of self-organization evolution of social system will increase with the improvement of management efficiency, unit time income and cooperation efficiency parameter, and also show that the benefit of game is higher, the cooperation rate is higher, and the particles gather more. And with the increase of risk coefficient, the return of each strategy will be reduced. The sixth chapter is the summary and prospect of this paper.
【学位授予单位】：温州大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O157.5;O225
本文编号：2210042
[Abstract]:At present, the research of social system self-organization evolution is in the ascendant, new models and new evolution mechanism emerge in large numbers. In this paper, we take the population system in the social system as an example and use the game theory to study the evolution of the white organization in the social system. The influence of the relevant parameters of the game model on the self-organization evolution of the social system. In the first chapter, we introduce the self-organization theory, the research progress and main models of social system, and introduce the research background and significance of this paper. In the second chapter, we introduce the game model and network topology. In the third, fourth and fifth chapters, we use the Monte-Carlo numerical simulation method to introduce different game models into the study of self-organization evolution of social systems, and carry out empirical analysis. The main results are as follows: (1) after a long period of evolution, a large number of particles are gathered in a few lattice points in the network, and the distribution of the number of particles satisfies the Pareto distribution, and the distribution of the number of particles on the lattice points with a large number of particles conforms to Zipf's law. This accords well with the actual population distribution. (2) compared with the regular network and the small-world network, the scale-free network structure of the system self-organization evolution, the results show that the game income is higher, the particles are also more concentrated; When the network topology is the same, the result of self-organization evolution of social system will increase with the improvement of management efficiency, unit time income and cooperation efficiency parameter, and also show that the benefit of game is higher, the cooperation rate is higher, and the particles gather more. And with the increase of risk coefficient, the return of each strategy will be reduced. The sixth chapter is the summary and prospect of this paper.
【学位授予单位】：温州大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O157.5;O225
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