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Efficient networks for a class of games with global spillovers

Author

Listed:
  • Pascal Billand

    (UGA [2016-2019] - Université Grenoble Alpes [2016-2019], GATE Lyon Saint-Étienne - Groupe d'Analyse et de Théorie Economique Lyon - Saint-Etienne - ENS de Lyon - École normale supérieure de Lyon - UL2 - Université Lumière - Lyon 2 - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon - UJM - Université Jean Monnet - Saint-Étienne - CNRS - Centre National de la Recherche Scientifique)

  • Christophe Bravard

    (GAEL - Laboratoire d'Economie Appliquée = Grenoble Applied Economics Laboratory - UPMF - Université Pierre Mendès France - Grenoble 2 - INRA - Institut National de la Recherche Agronomique)

  • Jacques Durieu

    (CREG - Centre de recherche en économie de Grenoble - UPMF - Université Pierre Mendès France - Grenoble 2)

  • Sudipta Sarangi

    (LSU - Louisiana State University, DIW Berlin - Deutsches Institut für Wirtschaftsforschung)

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

  • Pascal Billand & Christophe Bravard & Jacques Durieu & Sudipta Sarangi, 2015. "Efficient networks for a class of games with global spillovers," Post-Print halshs-01212128, HAL.
    • Handle: RePEc:hal:journl:halshs-01212128
    DOI: 10.1016/j.jmateco.2015.06.019
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    References listed on IDEAS

    as
    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. , D. & Tessone, Claudio J. & ,, 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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    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," LIDAM Discussion Papers CORE 2016032, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Belhaj, Mohamed & Bervoets, Sebastian & Deroïan, Frédéric, 2016. "Efficient networks in games with local complementarities," Theoretical Economics, Econometric Society, vol. 11(1), January.
    4. Zenou, Yves & Lindquist, Matthew & Sauermann, Jan, 2015. "Network Effects on Worker Productivity," CEPR Discussion Papers 10928, C.E.P.R. Discussion Papers.
    5. Yang Sun & Wei Zhao & Junjie Zhou, 2024. "Sequential Network Design," Papers 2409.14136, arXiv.org.
    6. Olaizola Ortega, María Norma & Valenciano Llovera, Federico, 2017. "Efficiency of weighted networks," IKERLANAK info:eu-repo/grantAgreeme, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    7. Qiang Gong & Huanxing Yang, 2020. "Collaborative Networks in Oligopoly with Asymmetric Firms," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 56(2), pages 357-380, March.
    8. Grandjean, G. & Tellone, D. & Vergote, W., 2017. "Endogenous network formation in a Tullock contest," Mathematical Social Sciences, Elsevier, vol. 85(C), pages 1-10.
    9. Hiller, Timo, 2022. "A simple model of network formation with competition effects," Journal of Mathematical Economics, Elsevier, vol. 99(C).
    10. Norma Olaizola & Federico Valenciano, 2020. "Dominance of weighted nested split graph networks in connections models," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(1), pages 75-96, March.

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    More about this item

    Keywords

    Game Theory; networks; Efficiency; Convexity; Sub-modularity; Oligopolies;
    All these keywords.

    JEL classification:

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

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