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Network extension

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  • Haller, Hans

Abstract

In a model of strategic network formation, the endogenously formed network is built around a pre-existing network. We envisage that the pre-existing or core network is publicly provided. Strategic network formation is decentralized: Players act in their private interest and bear the costs when adding links to the pre-existing network. We study how the pre-existing network affects existence of Nash equilibria and efficiency of Nash equilibrium outcomes: It can foster or prohibit existence of Nash equilibria. It can improve or worsen equilibrium welfare. Special attention is paid to an insider–outsider model where society is partitioned into several groups and links within a group (between insiders) are much cheaper than links across groups (between outsiders). We also present equilibrium existence results and examine the effect of Pareto optimal publicly provided networks.

Suggested Citation

  • Haller, Hans, 2012. "Network extension," Mathematical Social Sciences, Elsevier, vol. 64(2), pages 166-172.
    • Handle: RePEc:eee:matsoc:v:64:y:2012:i:2:p:166-172
    DOI: 10.1016/j.mathsocsci.2012.03.003
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    1. Pascal Billand & Christophe Bravard & Sudipta Sarangi, 2010. "The Insider-Outsider Model Reexamined," Games, MDPI, vol. 1(4), pages 1-16, October.
    2. Haller, Hans & Sarangi, Sudipta, 2005. "Nash networks with heterogeneous links," Mathematical Social Sciences, Elsevier, vol. 50(2), pages 181-201, September.
    3. Dietrich Braess & Anna Nagurney & Tina Wakolbinger, 2005. "On a Paradox of Traffic Planning," Transportation Science, INFORMS, vol. 39(4), pages 446-450, November.
    4. Jean Derks & Martijn Tennekes, 2009. "A note on the existence of Nash networks in one-way flow models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 41(3), pages 515-522, December.
    5. Pascal Billand & Christophe Bravard & Sudipta Sarangi, 2008. "Existence of Nash networks in one-way flow models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(3), pages 491-507, December.
    6. 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.
    7. Venkatesh Bala & Sanjeev Goyal, 2000. "original papers : A strategic analysis of network reliability," Review of Economic Design, Springer;Society for Economic Design, vol. 5(3), pages 205-228.
    8. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
    9. Andrea Galeotti, 2006. "One-way flow networks: the role of heterogeneity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 163-179, September.
    10. Galeotti, Andrea & Goyal, Sanjeev & Kamphorst, Jurjen, 2006. "Network formation with heterogeneous players," Games and Economic Behavior, Elsevier, vol. 54(2), pages 353-372, February.
    11. Hans Haller & Jurjen Kamphorst & Sudipta Sarangi, 2007. "(Non-)existence and Scope of Nash Networks," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(3), pages 597-604, June.
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    Cited by:

    1. Pietro Battiston, 2016. "Constrained Network Formation," Italian Economic Journal: A Continuation of Rivista Italiana degli Economisti and Giornale degli Economisti, Springer;Società Italiana degli Economisti (Italian Economic Association), vol. 2(3), pages 347-362, November.
    2. Christophe Bravard & Sudipta Sarangi & PHILIPP MÖHLMEIER & AGNIESZKA RUSINOWSKA & EMILY TANIMURA, 2016. "A Degree-Distance-Based Connections Model with Negative and Positive Externalities," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 18(2), pages 168-192, April.
    3. Antoni Rubí-Barceló, 2017. "Structural Holes in Social Networks with Exogenous Cliques," Games, MDPI, vol. 8(3), pages 1-13, August.
    4. Leon Petrosyan & Artem Sedakov, 2016. "The Subgame-Consistent Shapley Value for Dynamic Network Games with Shock," Dynamic Games and Applications, Springer, vol. 6(4), pages 520-537, December.
    5. Olaizola, Norma & Valenciano, Federico, 2013. "Network formation under linking constraints," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 5194-5205.
    6. Pietro Battiston, 2014. "Citations are Forever: Modeling Constrained Network Formation," LEM Papers Series 2014/19, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.

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