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Peer Effects in Endogenous Networks

Author

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  • Timo Hiller
  • Timo Hiller

Abstract

This paper presents a simple model of strategic network formation with local complementarities in effort levels and positive local externalities for a general class of payoff functions. Results are obtained for one-sided and two-sided link creation. In both cases (pairwise) Nash equilibrium networks are nested split graphs, which are a strict subset of core-periphery networks. The relevance of the convexity of the value function (gross payoffs as a function of neighbours' effort levels when best responding) in obtaining nested split graphs is highlighted. Under additional assumptions on payoffs, we show that the only efficient networks are the complete and the empty network. Furthermore, there exists a range of linking cost such that any (pairwise) Nash equilibrium is inefficient and for a strict subset of this range any (pairwise) Nash equilibrium network structure is different from the efficient network. These findings are relevant for a wide range of social and economic phenomena, such as educational attainment, criminal activity, labor market participation, and R&D expenditures of firms.

Suggested Citation

  • Timo Hiller & Timo Hiller, 2013. "Peer Effects in Endogenous Networks," STICERD - Theoretical Economics Paper Series 564, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  • Handle: RePEc:cep:stitep:564
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    File URL: http://sticerd.lse.ac.uk/dps/te/te564.pdf
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    References listed on IDEAS

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    1. Edward L. Glaeser & Bruce Sacerdote & José A. Scheinkman, 1996. "Crime and Social Interactions," The Quarterly Journal of Economics, Oxford University Press, vol. 111(2), pages 507-548.
    2. König, Michael D. & Tessone, Claudio J. & Zenou, Yves, 2014. "Nestedness in networks: A theoretical model and some applications," Theoretical Economics, Econometric Society, vol. 9(3), September.
    3. Coralio Ballester & Antoni Calvó-Armengol & Yves Zenou, 2006. "Who's Who in Networks. Wanted: The Key Player," Econometrica, Econometric Society, vol. 74(5), pages 1403-1417, September.
    4. Andrea Galeotti & Sanjeev Goyal, 2010. "The Law of the Few," American Economic Review, American Economic Association, vol. 100(4), pages 1468-1492, September.
    5. Cohen, Wesley M & Levinthal, Daniel A, 1989. "Innovation and Learning: The Two Faces of R&D," Economic Journal, Royal Economic Society, vol. 99(397), pages 569-596, September.
    6. John Kennan, 2001. "Uniqueness of Positive Fixed Points for Increasing Concave Functions on Rn: An Elementary Result," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(4), pages 893-899, October.
    7. Luca De Benedictis & Lucia Tajoli, 2011. "The World Trade Network," The World Economy, Wiley Blackwell, vol. 34(8), pages 1417-1454, August.
    8. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
    9. Giorgio Topa, 2001. "Social Interactions, Local Spillovers and Unemployment," Review of Economic Studies, Oxford University Press, vol. 68(2), pages 261-295.
    10. Richard C. Levin & Peter C. Reiss, 1988. "Cost-Reducing and Demand-Creating R&D with Spillovers," RAND Journal of Economics, The RAND Corporation, vol. 19(4), pages 538-556, Winter.
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    Cited by:

    1. Bernard Herskovic & Joao Ramos, 2016. "Acquiring information through peers," 2016 Meeting Papers 248, Society for Economic Dynamics.

    More about this item

    Keywords

    Strategic network formation; peer effects; strategic complements; positive externalities.;

    JEL classification:

    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

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