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Efficient networks for a class of games with global spillovers

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  • Sudipta Sarangi

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  • Pascal Billand
  • Christophe Bravard
  • Jacques Durieu

Abstract

In this paper we characterize efficient networks for network formation games with global spillovers, that satisfy convexity and sub-modularity properties. This allows us to complete the work of Goyal and Joshi (2006) and Westbrock on collaborative oligopoly networks. In particular, we establish that efficient networks are nested split graphs in this class of games.

Suggested Citation

  • Sudipta Sarangi & Pascal Billand & Christophe Bravard & Jacques Durieu, 2013. "Efficient networks for a class of games with global spillovers," Departmental Working Papers 2013-06, Department of Economics, Louisiana State University.
  • Handle: RePEc:lsu:lsuwpp:2013-06
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    File URL: http://bus.lsu.edu/McMillin/Working_Papers/pap13_06.pdf
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    References listed on IDEAS

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    1. Pascal Billand & Christophe Bravard & Subhadip Chakrabarti & Sudipta Sarangi, 2014. "A note on networks of collaboration in multi-market oligopolies," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 53(2), pages 325-335, September.
    2. Antoni Calvó-Armengol & Matthew O. Jackson, 2004. "The Effects of Social Networks on Employment and Inequality," American Economic Review, American Economic Association, vol. 94(3), pages 426-454, June.
    3. König, Michael D. & Battiston, Stefano & Napoletano, Mauro & Schweitzer, Frank, 2012. "The efficiency and stability of R&D networks," Games and Economic Behavior, Elsevier, vol. 75(2), pages 694-713.
    4. Goyal, Sanjeev & Joshi, Sumit, 2003. "Networks of collaboration in oligopoly," Games and Economic Behavior, Elsevier, vol. 43(1), pages 57-85, April.
    5. 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.
    6. Mohamed Belhaj & Sebastian Bervoets & Frédéric Deroïan, 2013. "Network Design under Local Complementarities," AMSE Working Papers 1309, Aix-Marseille School of Economics, Marseille, France, revised 12 Feb 2013.
    7. Hagedoorn, John, 2002. "Inter-firm R&D partnerships: an overview of major trends and patterns since 1960," Research Policy, Elsevier, vol. 31(4), pages 477-492, May.
    8. Bastian Westbrock, 2010. "Natural concentration in industrial research collaboration," RAND Journal of Economics, RAND Corporation, vol. 41(2), pages 351-371.
    9. Sanjeev Goyal & Sumit Joshi, 2006. "Unequal connections," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(3), pages 319-349, October.
    10. Mohamed Belhaj & Sebastian Bervoets & Frédéric Deroïan, 2013. "Network Design under Local Complementarities," Working Papers halshs-00796487, HAL.
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    Cited by:

    1. Olaizola Ortega, María Norma & Valenciano Llovera, Federico, 2017. "Efficiency of weighted networks," IKERLANAK Ikerlanak;2017-104, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    2. Grandjean, G. & Tellone, D. & Vergote, W., 2016. "Cooperation, Competition and Entry in a Tullock Contest," CORE Discussion Papers 2016032, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Grandjean, G. & Tellone, D. & Vergote, W., 2017. "Endogenous network formation in a Tullock contest," Mathematical Social Sciences, Elsevier, vol. 85(C), pages 1-10.

    More about this item

    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

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