發(fā)布時(shí)間：2018-11-17 21:33

【摘要】：在自然界和人類社會(huì)發(fā)展的過程中,博弈是一種普遍存在的現(xiàn)象。對(duì)博弈過程中博弈個(gè)體之間合作行為產(chǎn)生原因的解釋成為了學(xué)術(shù)界的一個(gè)巨大挑戰(zhàn),而演化博弈理論為解決這一難題提供了一個(gè)全新的理論角度。近年來,網(wǎng)絡(luò)科學(xué)理論研究發(fā)現(xiàn)復(fù)雜異構(gòu)拓?fù)浣Y(jié)構(gòu)也是促進(jìn)合作行為的一個(gè)重要機(jī)制。目前,大多數(shù)復(fù)雜網(wǎng)絡(luò)上的博弈研究都集中在單層網(wǎng)絡(luò)結(jié)構(gòu)上,但現(xiàn)實(shí)世界復(fù)雜網(wǎng)絡(luò)之間往往并不是相互孤立,而是相互依賴的。因此,研究耦合網(wǎng)絡(luò)的結(jié)構(gòu)特征及其演化動(dòng)力學(xué)行為具有重要的現(xiàn)實(shí)意義。論文針對(duì)現(xiàn)實(shí)復(fù)雜系統(tǒng)耦合的關(guān)聯(lián)特性,運(yùn)用系統(tǒng)建模與仿真的方法,探索了多種耦合機(jī)制下雙層耦合網(wǎng)絡(luò)上囚徒困境博弈合作行為的演化。論文主要研究內(nèi)容和創(chuàng)新性研究成果包括以下四個(gè)方面:1)研究了科研協(xié)作網(wǎng)絡(luò)的社區(qū)結(jié)構(gòu)�；趶�(fù)雜網(wǎng)絡(luò)方法,分析了科研協(xié)作網(wǎng)絡(luò)的特征以及網(wǎng)絡(luò)結(jié)構(gòu),進(jìn)一步研究了科研協(xié)作網(wǎng)絡(luò)的社區(qū)結(jié)構(gòu)分布。結(jié)果表明科研協(xié)作網(wǎng)絡(luò)具有明顯的社區(qū)結(jié)構(gòu),為促進(jìn)科研者合作提供了有意義的理論指導(dǎo)。2)提出了一個(gè)雙層耦合網(wǎng)絡(luò)模型,并探討了在該網(wǎng)絡(luò)模型上個(gè)體多樣性對(duì)囚徒困境博弈的影響。模型中個(gè)體多樣性具體表現(xiàn)為網(wǎng)絡(luò)中博弈個(gè)體的自身策略傳播能力不同;通過大量的計(jì)算機(jī)模擬仿真,研究結(jié)果表明,網(wǎng)絡(luò)間的耦合以及個(gè)體多樣性都能有效的促進(jìn)網(wǎng)絡(luò)中的合作行為,進(jìn)而提高群體合作率。3)探討了在加權(quán)耦合網(wǎng)絡(luò)上囚徒困境博弈的演化行為。在加權(quán)耦合網(wǎng)絡(luò)中,加權(quán)網(wǎng)絡(luò)中博弈個(gè)體具有不同的權(quán)值,且服從三種隨機(jī)分布,即均勻分布、冪律分布和指數(shù)分布,同時(shí)博弈個(gè)體權(quán)值的不同也體現(xiàn)了個(gè)體多樣性。研究結(jié)果發(fā)現(xiàn),網(wǎng)絡(luò)之間的耦合可以大幅度提高群體的合作率,并且加權(quán)網(wǎng)絡(luò)中合作率提升幅度明顯大于標(biāo)準(zhǔn)無權(quán)網(wǎng)絡(luò)。4)探索了耦合強(qiáng)度非均勻性對(duì)囚徒困境博弈行為的影響。論文提出了兩種不同的非均勻耦合機(jī)制:對(duì)稱耦合和不對(duì)稱耦合;不同網(wǎng)絡(luò)上相互依賴的兩個(gè)個(gè)體的耦合強(qiáng)度相同,稱為對(duì)稱耦合;反之,稱為不對(duì)稱耦合。計(jì)算機(jī)模擬仿真結(jié)果表明,網(wǎng)絡(luò)間的不均勻耦合會(huì)顯著提高網(wǎng)絡(luò)的整體合作水平,而且對(duì)稱耦合機(jī)制比不對(duì)稱耦合機(jī)制更能促進(jìn)博弈個(gè)體間合作行為的傳播。
[Abstract]:In the process of the development of nature and human society, game is a universal phenomenon. The explanation of the reasons for the cooperative behavior between individuals in the game process has become a great challenge to the academic community, and the evolutionary game theory provides a new theoretical angle to solve the problem. In recent years, the theory of network science has found that complex heterogeneous topology is also an important mechanism to promote cooperative behavior. At present, most of the game studies on complex networks focus on the single-layer network structure, but complex networks in the real world are often not isolated, but interdependent. Therefore, it is of great practical significance to study the structural characteristics and evolutionary dynamics of coupled networks. Aiming at the coupling characteristics of real complex systems, this paper uses the method of system modeling and simulation to explore the evolution of the cooperative behavior of prisoners' Dilemma game in multi-coupling networks. The main research contents and innovative research results are as follows: 1) the community structure of scientific research collaboration network is studied. Based on the complex network method, the characteristics and network structure of scientific research collaboration network are analyzed, and the community structure distribution of scientific research cooperation network is further studied. The results show that the research collaboration network has an obvious community structure, which provides a meaningful theoretical guidance for promoting scientific research cooperation. 2) A two-layer coupled network model is proposed. The influence of individual diversity on prisoner's dilemma game is discussed in this network model. The diversity of individuals in the model is embodied in the different communication ability of game players in the network. Through a large number of computer simulation results, the results show that the coupling between networks and individual diversity can effectively promote the cooperative behavior in the network. Then the cooperative rate of group is improved. 3) the evolutionary behavior of prisoners' dilemma game in weighted coupled networks is discussed. In the weighted coupled network, the game individual has different weights in the weighted network, and there are three random distributions, namely, uniform distribution, power law distribution and exponential distribution. At the same time, the individual diversity is also reflected by the difference of individual weights in the weighted network. The results show that the coupling between the networks can greatly improve the cooperation rate of the group. And the increase of cooperation rate in weighted networks is obviously greater than that in standard unweighted networks. 4) the influence of coupling intensity inhomogeneity on prisoners' dilemma game behavior is explored. In this paper, two different non-uniform coupling mechanisms are proposed: symmetric coupling and asymmetric coupling; two individuals who depend on each other on different networks have the same coupling intensity, which is called symmetric coupling; conversely, they are called asymmetric coupling. The computer simulation results show that the heterogeneous coupling between the networks can significantly improve the overall cooperation level of the network, and the symmetric coupling mechanism can promote the spread of cooperative behavior between game players more than the asymmetric coupling mechanism.
【學(xué)位授予單位】：天津理工大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2016
【分類號(hào)】：O157.5;O225

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