IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-15-00638.html
   My bibliography  Save this article

Network Heterogeneity and a Coordination Game

Author

Listed:
  • 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

    Download full text from publisher

    File URL: http://www.accessecon.com/Pubs/EB/2015/Volume35/EB-15-V35-I4-P247.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. Blume Lawrence E., 1993. "The Statistical Mechanics of Strategic Interaction," Games and Economic Behavior, Elsevier, vol. 5(3), pages 387-424, July.
    3. 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.
    4. 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.
    5. Train,Kenneth E., 2009. "Discrete Choice Methods with Simulation," Cambridge Books, Cambridge University Press, number 9780521766555.
    6. 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.
    7. 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.
    8. Vega-Redondo,Fernando, 2007. "Complex Social Networks," Cambridge Books, Cambridge University Press, number 9780521674096, September.
    9. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-1071, September.
    10. Vega-Redondo,Fernando, 2007. "Complex Social Networks," Cambridge Books, Cambridge University Press, number 9780521857406, September.
    11. Alós-Ferrer, Carlos & Weidenholzer, Simon, 2008. "Contagion and efficiency," Journal of Economic Theory, Elsevier, vol. 143(1), pages 251-274, November.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jackson, Matthew O. & Zenou, Yves, 2015. "Games on Networks," Handbook of Game Theory with Economic Applications,, Elsevier.
    2. Oyama, Daisuke & Takahashi, Satoru, 2015. "Contagion and uninvadability in local interaction games: The bilingual game and general supermodular games," Journal of Economic Theory, Elsevier, vol. 157(C), pages 100-127.
    3. Opolot, Daniel, 2012. "Social interactions and complex networks," MERIT Working Papers 2012-014, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    4. Simon Weidenholzer, 2010. "Coordination Games and Local Interactions: A Survey of the Game Theoretic Literature," Games, MDPI, vol. 1(4), pages 1-35, November.
    5. de Marti, Joan & Zenou, Yves, 2009. "Social Networks," Working Paper Series 816, Research Institute of Industrial Economics.
    6. Wallace, Chris & Young, H. Peyton, 2015. "Stochastic Evolutionary Game Dynamics," Handbook of Game Theory with Economic Applications,, Elsevier.
    7. Hellmann, Tim & Staudigl, Mathias, 2014. "Evolution of social networks," European Journal of Operational Research, Elsevier, vol. 234(3), pages 583-596.
    8. Lelarge, Marc, 2012. "Diffusion and cascading behavior in random networks," Games and Economic Behavior, Elsevier, vol. 75(2), pages 752-775.
    9. , David, 2016. "The formation of networks with local spillovers and limited observability," Theoretical Economics, Econometric Society, vol. 11(3), September.
    10. Konno, Tomohiko, 2013. "An imperfect competition on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5453-5460.
    11. Le Breton, Michel & Weber, Shlomo, 2009. "Existence of Pure Strategies Nash Equilibria in Social Interaction Games with Dyadic Externalities," CEPR Discussion Papers 7279, C.E.P.R. Discussion Papers.
    12. Fosco, Constanza & Mengel, Friederike, 2011. "Cooperation through imitation and exclusion in networks," Journal of Economic Dynamics and Control, Elsevier, vol. 35(5), pages 641-658, May.
    13. Fulin Guo, 2023. "Experience-weighted attraction learning in network coordination games," Papers 2310.18835, arXiv.org.
    14. Andrea Galeotti & Luca Paolo Merlino, 2014. "Endogenous Job Contact Networks," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55(4), pages 1201-1226, November.
    15. Topa, Giorgio & Zenou, Yves, 2015. "Neighborhood and Network Effects," Handbook of Regional and Urban Economics, in: Gilles Duranton & J. V. Henderson & William C. Strange (ed.), Handbook of Regional and Urban Economics, edition 1, volume 5, chapter 0, pages 561-624, Elsevier.
    16. Marcin Dziubinski & Sanjeev Goyal, 2014. "How to Defend a Network?," Cambridge Working Papers in Economics 1450, Faculty of Economics, University of Cambridge.
    17. Dessí, Roberta & Gallo, Edoardo & Goyal, Sanjeev, 2016. "Network cognition," Journal of Economic Behavior & Organization, Elsevier, vol. 123(C), pages 78-96.
    18. Italo Bischi, Gian & Lamantia, Fabio, 2012. "A dynamic model of oligopoly with R&D externalities along networks. Part II," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 84(C), pages 66-82.
    19. Giulio Cimini, 2017. "Evolutionary Network Games: Equilibria from Imitation and Best Response Dynamics," Complexity, Hindawi, vol. 2017, pages 1-14, August.
    20. Dziubiński, Marcin Konrad & Goyal, Sanjeev, 2017. "How do you defend a network?," Theoretical Economics, Econometric Society, vol. 12(1), January.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ebl:ecbull:eb-15-00638. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: John P. Conley (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.