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Efficiency of weighted networks

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  • Olaizola Ortega, María Norma
  • Valenciano Llovera, Federico

Abstract

In this paper, we address the question of the efficiency of weighted networks in a setting where nodes derive utility from their direct and indirect connections. Under rather general conditions, based on a set of assumptions about the value that connections in a weighted network generate, and about link-formation technology, we prove that any network is dominated by a special type of nested split graph weighted network. These conditions include some of the models in the literature, which are seen as particular cases of this general model.

Suggested Citation

  • 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.
    • Handle: RePEc:ehu:ikerla:24730
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    References listed on IDEAS

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    1. Bramoulle, Yann & Galeotti, Andrea & Rogers, Brian (ed.), 2016. "The Oxford Handbook of the Economics of Networks," OUP Catalogue, Oxford University Press, number 9780199948277, Decembrie.
    2. Belhaj, Mohamed & Bervoets, Sebastian & Deroïan, Frédéric, 2016. "Efficient networks in games with local complementarities," Theoretical Economics, Econometric Society, vol. 11(1), January.
    3. Norma Olaizola & Federico Valenciano, 2018. "A unifying model of strategic network formation," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(4), pages 1033-1063, November.
    4. 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.
    5. Yann Bramoullé & Andrea Galeotti & Brian Rogers, 2016. "The Oxford Handbook of the Economics of Networks," Post-Print hal-01447842, HAL.
    6. Olaizola Ortega, María Norma & Valenciano Llovera, Federico, 2016. "A Marginalist Model of Network Formation," IKERLANAK info:eu-repo/grantAgreeme, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    7. Jackson, Matthew O. & Wolinsky, Asher, 1996. "A Strategic Model of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 71(1), pages 44-74, October.
    8. Bloch, Francis & Dutta, Bhaskar, 2009. "Communication networks with endogenous link strength," Games and Economic Behavior, Elsevier, vol. 66(1), pages 39-56, May.
    9. Goyal, Sanjeev & Joshi, Sumit, 2003. "Networks of collaboration in oligopoly," Games and Economic Behavior, Elsevier, vol. 43(1), pages 57-85, April.
    10. ,, 2015. "Social activity and network formation," Theoretical Economics, Econometric Society, vol. 10(2), May.
    11. , D. & Tessone, Claudio J. & ,, 2014. "Nestedness in networks: A theoretical model and some applications," Theoretical Economics, Econometric Society, vol. 9(3), September.
    12. Yann Bramoullé & Andrea Galeotti & Brian Rogers, 2016. "The Oxford Handbook of the Economics of Networks," Post-Print hal-03572533, HAL.
    13. Venkatesh Bala & Sanjeev Goyal, 2000. "original papers : A strategic analysis of network reliability," Review of Economic Design, Springer;Society for Economic Design, vol. 5(3), pages 205-228.
    14. Markus Kinateder & Luca Paolo Merlino, 2017. "Public Goods in Endogenous Networks," American Economic Journal: Microeconomics, American Economic Association, vol. 9(3), pages 187-212, August.
    15. Bastian Westbrock, 2010. "Natural concentration in industrial research collaboration," RAND Journal of Economics, RAND Corporation, vol. 41(2), pages 351-371, June.
    16. Yann Bramoullé & Rachel Kranton, 2015. "Games Played on Networks," Working Papers halshs-01180657, HAL.
    17. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
    18. 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.
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    Keywords

    weighted; network; efficiency; nested; split; graph;
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