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The influence of tie strength on evolutionary games on networks: An empirical investigation

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  • Buesser, Pierre
  • Peña, Jorge
  • Pestelacci, Enea
  • Tomassini, Marco

Abstract

Extending previous work on unweighted networks, we present here a systematic numerical investigation of standard evolutionary games on weighted networks. In the absence of any reliable model for generating weighted social networks, we attribute weights to links in a few ways supported by empirical data ranging from totally uncorrelated to weighted bipartite networks. The results of the extensive simulation work on standard complex network models show that, except in a case that does not seem to be common in social networks, taking the tie strength into account does not change in a radical manner the long-run steady-state behavior of the studied games. Besides model networks, we also included a real-life case drawn from a coauthorship network. In this case also, taking the weights into account only changes the results slightly with respect to the raw unweighted graph, although to draw more reliable conclusions on real social networks many more cases should be studied as these weighted networks become available.

Suggested Citation

  • Buesser, Pierre & Peña, Jorge & Pestelacci, Enea & Tomassini, Marco, 2011. "The influence of tie strength on evolutionary games on networks: An empirical investigation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4502-4513.
  • Handle: RePEc:eee:phsmap:v:390:y:2011:i:23:p:4502-4513
    DOI: 10.1016/j.physa.2011.07.021
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    References listed on IDEAS

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    1. Vega-Redondo,Fernando, 2003. "Economics and the Theory of Games," Cambridge Books, Cambridge University Press, number 9780521775908, January.
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    3. Du, Wen-Bo & Zheng, Hao-Ran & Hu, Mao-Bin, 2008. "Evolutionary prisoner’s dilemma game on weighted scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3796-3800.
    4. Christoph Hauert & Michael Doebeli, 2004. "Spatial structure often inhibits the evolution of cooperation in the snowdrift game," Nature, Nature, vol. 428(6983), pages 643-646, April.
    5. Barthélemy, Marc & Barrat, Alain & Pastor-Satorras, Romualdo & Vespignani, Alessandro, 2005. "Characterization and modeling of weighted networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 346(1), pages 34-43.
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    Cited by:

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    2. Han, Dun & Sun, Mei, 2014. "Can memory and conformism resolve the vaccination dilemma?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 415(C), pages 95-104.

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