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Network Heterogeneity and a Coordination Game

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  • Tomohiko Tomohiko

    (Institute of Advanced Study, Waseda Univeristy)

Abstract

We investigate a two-strategy logit choice coordination game on heterogeneous networks. Degree is a number of links a vertex has and heterogeneous network is a network whose variance of degree distribution is large. We obtain mean-field approximate solution. We show that the heterogeneity of a network has an influence on the outcome. The magnitude of heterogeneity determines the number of stable steady states and the characteristics of the stable steady states. The network heterogeneity also determines which of the stable steady states is realized and the probability that a strategy is chosen in a given stable steady state.

Suggested Citation

  • Tomohiko Tomohiko, 2015. "Network Heterogeneity and a Coordination Game," Economics Bulletin, AccessEcon, vol. 35(4), pages 2462-2474.
    • Handle: RePEc:ebl:ecbull:eb-15-00638
    as

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    References listed on IDEAS

    as
    1. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-1071, September.
    2. Train,Kenneth E., 2009. "Discrete Choice Methods with Simulation," Cambridge Books, Cambridge University Press, number 9780521766555.
    3. Konno, Tomohiko, 2009. "Network structure of Japanese firms. Scale-free, hierarchy, and degree correlation: analysis from 800,000 firms," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 3, pages 1-13.
    4. Vega-Redondo,Fernando, 2007. "Complex Social Networks," Cambridge Books, Cambridge University Press, number 9780521857406.
    5. Sanjeev Goyal, 2007. "Introduction to Connections: An Introduction to the Economics of Networks," Introductory Chapters, in: Connections: An Introduction to the Economics of Networks, Princeton University Press.
    6. Hisashi Ohtsuki & Christoph Hauert & Erez Lieberman & Martin A. Nowak, 2006. "A simple rule for the evolution of cooperation on graphs and social networks," Nature, Nature, vol. 441(7092), pages 502-505, May.
    7. Vega-Redondo,Fernando, 2007. "Complex Social Networks," Cambridge Books, Cambridge University Press, number 9780521674096.
    8. William A. Brock & Steven N. Durlauf, 2001. "Discrete Choice with Social Interactions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(2), pages 235-260.
    9. Blume Lawrence E., 1993. "The Statistical Mechanics of Strategic Interaction," Games and Economic Behavior, Elsevier, vol. 5(3), pages 387-424, July.
    10. Andrea Galeotti & Sanjeev Goyal & Matthew O. Jackson & Fernando Vega-Redondo & Leeat Yariv, 2010. "Network Games," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(1), pages 218-244.
    11. Alós-Ferrer, Carlos & Weidenholzer, Simon, 2008. "Contagion and efficiency," Journal of Economic Theory, Elsevier, vol. 143(1), pages 251-274, November.
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    More about this item

    Keywords

    Networks; Local Social Interactions; Network Heterogeneity; Scale-free Networks; Coordination Games; Peer Effect; Games on Networks; Logit Choice; Percolations;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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