本文選題：統(tǒng)計物理 + 觀點動力學　； 參考：《北京郵電大學》2017年碩士論文

【摘要】：近年來,采用自然科學的研究方法研究復雜的社會群體現(xiàn)象和行為引起了人們的廣泛興趣。針對社會群體中觀點的傳播行為,觀點動力學把觀點傳播抽象為物理模型,通過計算機編程在復雜網絡上進行數(shù)值模擬的方式,進行觀點演化的研究。觀點動力學主要研究觀點的演化、形成、以及達成共識的過程。物理模型主要分為離散觀點動力學模型和連續(xù)觀點動力學模型。本文主要對改進后Deffuant連續(xù)觀點動力學模型(引入排斥機制與周期觀點)在一個環(huán)形網絡上進行了觀點的演化研究。排斥機制使兩個人的觀點彼此遠離。周期觀點是指把觀點值具有周期性。我們發(fā)現(xiàn)排斥機制的引入會使鄰居間的觀點產生極化現(xiàn)象;周期觀點的引入會使系統(tǒng)演化出一種全新的“全局一致”,在這種一致狀態(tài)中所有節(jié)點的觀點值并不一致,但相鄰節(jié)點間的觀點差值非常小,而且當系統(tǒng)大小趨于無窮時任意兩個鄰居節(jié)點之間的觀點差是趨近于零的。Deffuant模型同時引入周期觀點和排斥機制后,觀點的演化結果既依賴置信區(qū)間又依賴演化參數(shù)。排斥機制和周期觀點的共同作用可能會為我們進一步研究時間相關的觀點動力學提供一種思路。研究結果對人們深入理解觀點的形成和演化的內在機理有一定的意義;針對大規(guī)模人群更好的決策和討論過程,引導和控制社會輿論的傳播和社會共識的達成同樣具有重要的理論價值。
[Abstract]:In recent years, the use of natural science research methods to study complex social groups phenomenon and behavior has attracted widespread interest. In view of the communication behavior of ideas in social groups, viewpoint dynamics abstracts the dissemination of ideas as a physical model, and studies the evolution of views by means of numerical simulation on complex networks by computer programming. Viewpoint dynamics mainly studies the evolution, formation, and the process of reaching consensus. The physical model is mainly divided into discrete viewpoint dynamics model and continuous viewpoint dynamics model. In this paper, the modified Deffuant continuous viewpoint dynamics model (including the exclusion mechanism and the periodic viewpoint) is studied on a ring network. The exclusion mechanism keeps the views of two people away from each other. A periodic point of view refers to the periodicity of the value of the point of view. We find that the introduction of the exclusion mechanism leads to polarization of the viewpoint between the neighbors, and the introduction of the periodic point of view makes the system evolve into a new "global consistency" in which the views of all nodes are not consistent. However, the difference of views between adjacent nodes is very small, and when the system size tends to infinity, the difference of views between any two neighbor nodes is near zero, and the periodic viewpoint and the exclusion mechanism are introduced into the Deffuant model. The result of evolution depends on both confidence interval and evolution parameters. The interaction of the exclusion mechanism and the periodic viewpoint may provide a way for us to further study the time-related viewpoint dynamics. The results of the study have certain significance for people to deeply understand the internal mechanism of the formation and evolution of views, and for the better decision-making and discussion process of the large population, Guiding and controlling the spread of public opinion and reaching social consensus also have important theoretical value.
【學位授予單位】：北京郵電大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：O157.5

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