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Existence of Nash networks in one-way flow models

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  • Pascal Billand

    ()

  • Christophe Bravard

    ()

  • Sudipta Sarangi

    ()

Abstract

This paper addresses the existence of Nash equilibria in one-way flow or directed network models in a number of different settings. In these models players form costly links with other players and obtain resources from them through the directed path connecting them. We find that heterogeneity in the costs of establishing links play a crucial role in the existence of Nash networks. We also provide conditions for the existence of Nash networks in models where costs and values of links are heterogeneous.

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File URL: http://hdl.handle.net/10.1007/s00199-007-0303-y
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Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 37 (2008)
Issue (Month): 3 (December)
Pages: 491-507

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Handle: RePEc:spr:joecth:v:37:y:2008:i:3:p:491-507

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Web page: http://link.springer.de/link/service/journals/00199/index.htm

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Related research

Keywords: Network formation; Non-cooperative games; C72; D85;

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References

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  1. Andrea Galeotti, 2006. "One-way flow networks: the role of heterogeneity," Economic Theory, Springer, vol. 29(1), pages 163-179, September.
  2. Sudipta Sarangi & H. Haller, . "Nash Networks with Heterogeneous Agents," Departmental Working Papers 2003-06, Department of Economics, Louisiana State University.
  3. Sudipta Sarangi & Pascal Billand & Christophe Bravard, . "Heterogeneity in Nash Networks," Departmental Working Papers 2006-18, Department of Economics, Louisiana State University.
  4. Matthew O. Jackson & Asher Wolinsky, 1995. "A Strategic Model of Social and Economic Networks," Discussion Papers 1098R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  5. Hans Haller & Jurjen Kamphorst & Sudipta Sarangi, 2007. "(Non-)existence and Scope of Nash Networks," Economic Theory, Springer, vol. 31(3), pages 597-604, June.
  6. Billand, P. & Bravard, C., 2004. "Non-cooperative networks in oligopolies," International Journal of Industrial Organization, Elsevier, vol. 22(5), pages 593-609, May.
  7. Andrea Galeotti & Sanjeev Goyal & Jurjen Kamphorst, 2003. "Network Formation with Heterogeneous Players," Economics Discussion Papers 562, University of Essex, Department of Economics.
  8. Haller, Hans & Sarangi, Sudipta, 2005. "Nash networks with heterogeneous links," Mathematical Social Sciences, Elsevier, vol. 50(2), pages 181-201, September.
  9. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x, December.
  10. Billand, Pascal & Bravard, Christophe, 2005. "A note on the characterization of Nash networks," Mathematical Social Sciences, Elsevier, vol. 49(3), pages 355-365, May.
  11. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
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Citations

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Cited by:
  1. Pascal Billand & Christophe Bravard & Sudipta Sarangi, 2011. "Existence of Nash Networks and Partner Heterogeneity," Post-Print halshs-00574277, HAL.
  2. Olaizola Ortega, María Norma & Valenciano Llovera, Federico, 2012. "Asymmetric flow networks," IKERLANAK Ikerlanak;2012-60, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
  3. Cui, Zhiwei & Wang, Shouyang & Zhang, Jin & Zu, Lei, 2013. "Stochastic stability in one-way flow networks," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 410-421.
  4. Breitmoser, Yves & Vorjohann, Pauline, 2013. "Efficient structure of noisy communication networks," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 396-409.
  5. Christophe Bravard & Sudipta Sarangi & Pascal Billand, 2008. "A Note on Existence of Nash Networks in One-way Flow," Economics Bulletin, AccessEcon, vol. 3(79), pages 1-4.
  6. Jean Derks & Martijn Tennekes, 2009. "A note on the existence of Nash networks in one-way flow models," Economic Theory, Springer, vol. 41(3), pages 515-522, December.
  7. Sumit Joshi & Poorvi Vora, 2013. "Weak and strong multimarket bidding rings," Economic Theory, Springer, vol. 53(3), pages 657-696, August.
  8. Haller, Hans, 2012. "Network extension," Mathematical Social Sciences, Elsevier, vol. 64(2), pages 166-172.

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