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Efficient networks for a class of games with global spillovers

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  • Billand, Pascal
  • Bravard, Christophe
  • Durieu, Jacques
  • Sarangi, Sudipta

Abstract

In this paper we examine efficient networks in network formation games with global spillovers that satisfy convexity and sub-modularity properties. Unlike the previous literature we impose these properties on individual payoff functions. We establish that efficient networks of this class of games are nested split graphs. This allows us to complete the work of Goyal and Joshi (2006) and Westbrock (2010) on collaborative oligopoly networks.

Suggested Citation

  • Billand, Pascal & Bravard, Christophe & Durieu, Jacques & Sarangi, Sudipta, 2015. "Efficient networks for a class of games with global spillovers," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 203-210.
  • Handle: RePEc:eee:mateco:v:61:y:2015:i:c:p:203-210
    DOI: 10.1016/j.jmateco.2015.06.019
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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," Working Papers halshs-00796487, HAL.
    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, June.
    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. Pascal Billand & Christophe Bravard & Subhadip Chakrabarti & Sudipta Sarangi, 2014. "A Note on Networks of Collaboration in Multi-market Oligopolies," Post-Print halshs-00878943, HAL.
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    Citations

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    Cited by:

    1. Pascal Billand & Christophe Bravard & Jacques Durieu & Sudipta Sarangi, 2019. "Firm Heterogeneity And The Pattern Of R&D Collaborations," Economic Inquiry, Western Economic Association International, vol. 57(4), pages 1896-1914, October.
    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. 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.
    4. 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

    Keywords

    Networks; Efficiency; Convexity; Sub-modularity; Oligopolies;

    JEL classification:

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

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