IDEAS home Printed from https://ideas.repec.org/a/spr/jogath/v47y2018i4d10.1007_s00182-017-0592-8.html
   My bibliography  Save this article

A unifying model of strategic network formation

Author

Listed:
  • Norma Olaizola

    (University of the Basque Country)

  • Federico Valenciano

    (University of the Basque Country)

Abstract

We provide a model that merges two basic models of strategic network formation and incorporates them as extreme cases: Jackson and Wolinsky’s connections model based on bilateral formation of links, and Bala and Goyal’s two-way flow model, where links can be unilaterally formed. In our model a link can be created unilaterally, but when it is only supported by one of the two players the flow through it suffers some friction or decay, but more than when it is supported by both players. When the friction in singly-supported links is maximal (i.e. there is no flow) we have Jackson and Wolinsky’s connections model, while when flow in singly-supported links is as good as in doubly-supported links we have Bala and Goyal’s two-way flow model. In this setting, a joint generalization of the results relative to efficiency and stability in both seminal papers is achieved, and the robustness in both models is tested with positive results.

Suggested Citation

  • Norma Olaizola & Federico Valenciano, 2018. "A unifying model of strategic network formation," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(4), pages 1033-1063, November.
    • Handle: RePEc:spr:jogath:v:47:y:2018:i:4:d:10.1007_s00182-017-0592-8
    DOI: 10.1007/s00182-017-0592-8
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00182-017-0592-8
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s00182-017-0592-8?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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. 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. Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
    4. Bloch, Francis & Dutta, Bhaskar, 2009. "Communication networks with endogenous link strength," Games and Economic Behavior, Elsevier, vol. 66(1), pages 39-56, May.
    5. Olaizola, Norma & Valenciano, Federico, 2014. "Asymmetric flow networks," European Journal of Operational Research, Elsevier, vol. 237(2), pages 566-579.
    6. Vega-Redondo,Fernando, 2007. "Complex Social Networks," Cambridge Books, Cambridge University Press, number 9780521674096, January.
    7. Olaizola, Norma & Valenciano, Federico, 2015. "Unilateral vs. bilateral link-formation: A transition without decay," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 13-28.
    8. Vega-Redondo,Fernando, 2007. "Complex Social Networks," Cambridge Books, Cambridge University Press, number 9780521857406, January.
    9. Haller, Hans & Sarangi, Sudipta, 2005. "Nash networks with heterogeneous links," Mathematical Social Sciences, Elsevier, vol. 50(2), pages 181-201, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Norma Olaizola & Federico Valenciano, 2020. "Characterization of efficient networks in a generalized connections model with endogenous link strength," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 11(3), pages 341-367, September.
    2. repec:ehu:ikerla:34463 is not listed on IDEAS
    3. Norma Olaizola & Federico Valenciano, 2020. "Dominance of weighted nested split graph networks in connections models," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(1), pages 75-96, March.

    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. repec:ehu:ikerla:14746 is not listed on IDEAS
    2. repec:ehu:ikerla:13991 is not listed on IDEAS
    3. Olaizola, Norma & Valenciano, Federico, 2015. "Unilateral vs. bilateral link-formation: A transition without decay," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 13-28.
    4. repec:ehu:ikerla:13425 is not listed on IDEAS
    5. Olaizola, Norma & Valenciano, Federico, 2020. "A connections model with decreasing returns link-formation technology," MPRA Paper 107585, University Library of Munich, Germany.
    6. Jackson, Matthew O. & Zenou, Yves, 2015. "Games on Networks," Handbook of Game Theory with Economic Applications,, Elsevier.
    7. repec:ehu:ikerla:19437 is not listed on IDEAS
    8. Cabrales, Antonio & Calvó-Armengol, Antoni & Zenou, Yves, 2011. "Social interactions and spillovers," Games and Economic Behavior, Elsevier, vol. 72(2), pages 339-360, June.
    9. Sanjeev Goyal & Adrien Vigier, 2014. "Attack, Defence, and Contagion in Networks," Review of Economic Studies, Oxford University Press, vol. 81(4), pages 1518-1542.
    10. repec:ehu:ikerla:15005 is not listed on IDEAS
    11. Goyal, S., 2018. "Heterogeneity and Networks," Cambridge Working Papers in Economics 1812, Faculty of Economics, University of Cambridge.
    12. de Martí, Joan & Zenou, Yves, 2009. "Social Networks," IZA Discussion Papers 4621, Institute of Labor Economics (IZA).
    13. PAPACCIO, Anna, 2013. "Bilateralism and Multilateralism: a Network Approach," CELPE Discussion Papers 125, CELPE - CEnter for Labor and Political Economics, University of Salerno, Italy.
    14. Olaizola, By Norma & Valenciano, Federico, 2021. "Efficiency and stability in the connections model with heterogeneous nodes," Journal of Economic Behavior & Organization, Elsevier, vol. 189(C), pages 490-503.
    15. repec:ehu:ikerla:6411 is not listed on IDEAS
    16. Norma Olaizola & Federico Valenciano, 2020. "Characterization of efficient networks in a generalized connections model with endogenous link strength," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 11(3), pages 341-367, September.
    17. Norma Olaizola & Federico Valenciano, 2016. "From bilateral two-way to unilateral one-way flow link-formation," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 7(2), pages 257-278, June.
    18. Kets, W., 2008. "Networks and learning in game theory," Other publications TiSEM 7713fce1-3131-498c-8c6f-3, Tilburg University, School of Economics and Management.
    19. Goyal, S., 2016. "Networks and Markets," Cambridge Working Papers in Economics 1652, Faculty of Economics, University of Cambridge.
    20. Arcaute, E. & Dyagilev, K. & Johari, R. & Mannor, S., 2013. "Dynamics in tree formation games," Games and Economic Behavior, Elsevier, vol. 79(C), pages 1-29.
    21. Olaizola, Norma & Valenciano, Federico, 2013. "Network formation under linking constraints," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 5194-5205.
    22. repec:ehu:ikerla:6257 is not listed on IDEAS
    23. repec:ehu:ikerla:34463 is not listed on IDEAS
    24. repec:ehu:ikerla:8633 is not listed on IDEAS
    25. repec:ehu:ikerla:15773 is not listed on IDEAS
    26. Bravard, Christophe & Charroin, Liza & Touati, Corinne, 2017. "Optimal design and defense of networks under link attacks," Journal of Mathematical Economics, Elsevier, vol. 68(C), pages 62-79.
    27. Michael D. König & Xiaodong Liu & Yves Zenou, 2019. "R&D Networks: Theory, Empirics, and Policy Implications," The Review of Economics and Statistics, MIT Press, vol. 101(3), pages 476-491, July.
    28. Michael D König & Stefano Battiston & Mauro Napoletano & Frank Schweitzer, 2008. "The Efficiency and Evolution of R&D Networks," Working Papers hal-00973077, HAL.
    29. repec:spo:wpmain:info:hdl:2441/9933 is not listed on IDEAS
    30. repec:hal:wpspec:info:hdl:2441/9935 is not listed on IDEAS
    31. repec:spo:wpecon:info:hdl:2441/9935 is not listed on IDEAS
    32. Vigier, A., 2008. "Globalization, Education, and the Topology of Social Networks," Cambridge Working Papers in Economics 0851, Faculty of Economics, University of Cambridge.
    33. 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.

    More about this item

    Keywords

    Network formation; Unilateral link-formation; Bilateral link-formation; Efficiency; Stability;
    All these keywords.

    JEL classification:

    • A14 - General Economics and Teaching - - General Economics - - - Sociology of Economics
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

    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:spr:jogath:v:47:y:2018:i:4:d:10.1007_s00182-017-0592-8. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.