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Choosing `Me' and `My Friends': Identity in a Non-Cooperative Network Formation Game with Cost Sharing

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  • Dev, Pritha
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    Abstract

    This paper introduces the choice of identity characteristics, and, commitments to these characteristics, in a network formation model where links costs are shared. Players want to link to the largest group given that linking costs are decreasing (increasing) in commitments for same (different) identity. We study conditions under which these choices allow for networks with multiple identities. We find that whether the choice of identity itself gives any utility or not, there will be Nash networks featuring multiple identities. Moreover, if the choice of identity directly adds utility, networks with multiple identities will be efficient and survive the dynamic process.

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    File URL: https://mpra.ub.uni-muenchen.de/21631/1/MPRA_paper_21631.pdf
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    Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 21631.

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    Date of creation: Mar 2010
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    Handle: RePEc:pra:mprapa:21631
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    Keywords: Identity; Network Formation; Cost Sharing Links;

    Find related papers by JEL classification:

    • Z13 - Other Special Topics - - Cultural Economics - - - Economic Sociology; Economic Anthropology; Social and Economic Stratification
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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    1. George A. Akerlof & Rachel E. Kranton, 2000. "Economics and Identity," The Quarterly Journal of Economics, Oxford University Press, vol. 115(3), pages 715-753.
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    8. Sudipta Sarangi & Pascal Billand & Christophe Bravard, . "Heterogeneity in Nash Networks," Departmental Working Papers 2006-18, Department of Economics, Louisiana State University.
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    11. Slikker, M. & van den Nouweland, C.G.A.M., 1997. "A One-Stage Model of Link Formation and Payoff Division," Discussion Paper 1997-23, Tilburg University, Center for Economic Research.
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    13. Mutuswami, Suresh & Winter, Eyal, 2002. "Subscription Mechanisms for Network Formation," Journal of Economic Theory, Elsevier, vol. 106(2), pages 242-264, October.
    14. Jackson, Matthew O. & Fryer Jr., Roland G., 2002. "Categorical Cognition: A Psychological Model of Categories and Identification in Decision Making," Working Papers 1144, California Institute of Technology, Division of the Humanities and Social Sciences.
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    16. Goyal, Sanjeev & Vega-Redondo, Fernando, 2005. "Network formation and social coordination," Games and Economic Behavior, Elsevier, vol. 50(2), pages 178-207, February.
    17. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
    18. Gilles, R.P. & Sarangi, S., 2004. "Social Network Formation with Consent," Discussion Paper 2004-70, Tilburg University, Center for Economic Research.
    19. Galeotti, Andrea & Goyal, Sanjeev & Kamphorst, Jurjen, 2006. "Network formation with heterogeneous players," Games and Economic Behavior, Elsevier, vol. 54(2), pages 353-372, February.
    20. Hojman, Daniel A. & Szeidl, Adam, 2008. "Core and periphery in networks," Journal of Economic Theory, Elsevier, vol. 139(1), pages 295-309, March.
    21. 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.
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