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How Variability in Individual Patterns of Behavior Changes the Structural Properties of Networks

Listed author(s):
  • Somayeh Koohborfardhaghighi

    ()

    (Technology Management, Economics, and Policy Program, College of Engineering, Seoul National University)

  • Jorn Altmann

    ()

    (Technology Management, Economics, and Policy Program, College of Engineering, Seoul National University)

Dynamic processes in complex networks have received much attention. This attention reflects the fact that dynamic processes are the main source of changes in the structural properties of complex networks (e.g., clustering coefficient and average shortest-path length). In this paper, we develop an agent-based model to capture, compare, and explain the structural changes within a growing social network with respect to individuals’ social characteristics (e.g., their activities for expanding social relations beyond their social circles). According to our simulation results, the probability increases that the network’s average shortest-path length is between 3 and 4, if most of the dynamic processes are based on random link formations. That means, in Facebook, the existing average shortest path length of 4.7 can even shrink to smaller values. Another result is that, if the node increase is larger than the link increase when the network is formed, the probability increases that the average shortest-path length is between 4 and 8.

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File URL: ftp://147.46.237.98/DP-114.pdf
File Function: First version, 2014
Download Restriction: no

Paper provided by Seoul National University; Technology Management, Economics, and Policy Program (TEMEP) in its series TEMEP Discussion Papers with number 2014114.

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Length: 18 pages
Date of creation: Jun 2014
Date of revision: Jun 2014
Publication status: Published in International Conference on Active Media Technology at Web Intelligence Congress (WIC 2014).
Handle: RePEc:snv:dp2009:2014114
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  1. Somayeh Koohborfardhaghighi & Jorn Altmann, 2014. "How Placing Limitations on the Size of Personal Networks Changes the Structural Properties of Complex Networks," TEMEP Discussion Papers 2014110, Seoul National University; Technology Management, Economics, and Policy Program (TEMEP), revised Jan 2014.
  2. Jackson, Matthew O. & Wolinsky, Asher, 1996. "A Strategic Model of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 71(1), pages 44-74, October.
  3. Andrea Galeotti & Sanjeev Goyal & Matthew O. Jackson & Fernando Vega-Redondo & Leeat Yariv, 2010. "Network Games," Review of Economic Studies, Oxford University Press, vol. 77(1), pages 218-244.
  4. Barabási, Albert-László & Albert, Réka & Jeong, Hawoong, 1999. "Mean-field theory for scale-free random networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 272(1), pages 173-187.
  5. Somayeh Koohborfardhaghighi & Jorn Altmann, 2014. "How Structural Changes in Complex Networks Impact Organizational Learning Performance," TEMEP Discussion Papers 2014111, Seoul National University; Technology Management, Economics, and Policy Program (TEMEP), revised Mar 2014.
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