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研究生:林奎后
研究生(外文):Lin, Kwei Ho
論文名稱:社會網路結構與效率
論文名稱(外文):Structure and efficiency of social networks
指導教授:莊委桐莊委桐引用關係
指導教授(外文):Juang, Wei Torng
學位類別:碩士
校院名稱:國立政治大學
系所名稱:經濟研究所
學門:社會及行為科學學門
學類:經濟學類
論文種類:學術論文
論文出版年:2009
畢業學年度:97
語文別:英文
論文頁數:32
中文關鍵詞:網路社會網路效率
外文關鍵詞:networkssoical networksefficiency
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The main purpose of this paper is to find some statistical properties of social networks to enhance further studies on detailed properties of such networks. Except the degree distribution index, we define the efficiency index to achieve our goal. In general, our efficiency index could be applied to social networks with rapid decay in information transmission. Besides, it has several advantages and could help us to analyze the statistical and topological properties of the networks. Furthermore, we find that there exists an optimal process to improve efficiency of the networks and give an explanation about the reason why social planner always chooses the policy of adding one link to any real networks to improve efficiency.
Abstract I
Contents II
1. Introduction 1
2. Basic Notations 5
2.1. Degree distribution 5
2.2. Average path length 6
2.3. Clustering coefficient 6
2.4. Density 7
3. The Efficiency 8
3.1. Global efficiency 8
3.2. Local efficiency 13
4. Analyzing Networks 15
4.1. Statistical properties 15
4.2. Topological properties 16
4.3. Optimality 19
5. Conclusion 24
6. Appendix 26
7. References 32
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Granovetter, M.S. (1973): “The strength of weak ties,” The American Journal of Sociology, vol. 78, 1360-1380.
Jackson, M.O. (2005): “The economics of social networks,” in World Congress of the Econometric Society, edited by Richard Blundell, Whitney Newey, and Torsten Persson, Cambridge University Press.
Latora, V. and M. Marchiori (2008): “Economic small world behavior in weighted networks,” cond-mat/0204089.
Leij M. and S. Goyal (2006): “Strong ties in a small world,” working paper. (http://www.econ.cam.ac.uk/faculty/goyal/wp/stswmay06.pdf)
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Newman, M.E.J. (2004): “Coauthorship networks and patterns of scientific collaboration,” Proceedings of the National Academy of Science, vol. 101, 5200-5204.
Watts D.J. and S.H. Strongatz (1998): “Collective dynamics of small-world networks,” Nature, vol. 393, 440-442.
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