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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://www.diw.de/documents/publikationen/73/diw_01.c.77524.de/dp751.pdf
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Bibliographic Info

Paper provided by DIW Berlin, German Institute for Economic Research in its series Discussion Papers of DIW Berlin with number 751.

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Length: 28 p.
Date of creation: 2007
Date of revision:
Handle: RePEc:diw:diwwpp:dp751

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Keywords: Network Formation; Non-cooperative Games;

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References

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  1. Sudipta Sarangi & H. Haller, . "Nash Networks with Heterogeneous Agents," Departmental Working Papers, Department of Economics, Louisiana State University 2003-06, Department of Economics, Louisiana State University.
  2. Sudipta Sarangi & Hans Haller & Jurjen Kamphorst, . "(Non-)Existence and Scope of Nash Networks," Departmental Working Papers, Department of Economics, Louisiana State University 2005-14, Department of Economics, Louisiana State University.
  3. Matthew O. Jackson & Asher Wolinsky, 1995. "A Strategic Model of Social and Economic Networks," Discussion Papers, Northwestern University, Center for Mathematical Studies in Economics and Management Science 1098R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  4. Sudipta Sarangi & Pascal Billand & Christophe Bravard, . "Heterogeneity in Nash Networks," Departmental Working Papers, Department of Economics, Louisiana State University 2006-18, Department of Economics, Louisiana State University.
  5. Haller, Hans & Sarangi, Sudipta, 2005. "Nash networks with heterogeneous links," Mathematical Social Sciences, Elsevier, Elsevier, vol. 50(2), pages 181-201, September.
  6. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x, December.
  7. Andrea Galeotti, 2004. "One-way Flow Networks: the Role of Heterogeneity," Tinbergen Institute Discussion Papers 04-031/1, Tinbergen Institute.
  8. Andrea Galeotti & Sanjeev Goyal & Jurjen Kamphorst, 2003. "Network Formation with Heterogeneous Players," Economics Discussion Papers, University of Essex, Department of Economics 562, University of Essex, Department of Economics.
  9. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, Econometric Society, vol. 68(5), pages 1181-1230, September.
  10. Billand, P. & Bravard, C., 2004. "Non-cooperative networks in oligopolies," International Journal of Industrial Organization, Elsevier, Elsevier, vol. 22(5), pages 593-609, May.
  11. Billand, Pascal & Bravard, Christophe, 2005. "A note on the characterization of Nash networks," Mathematical Social Sciences, Elsevier, Elsevier, vol. 49(3), pages 355-365, May.
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Citations

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Cited by:
  1. Billand, Pascal & Bravard, Christophe & Sarangi, Sudipta, 2012. "Existence of Nash networks and partner heterogeneity," Mathematical Social Sciences, Elsevier, Elsevier, vol. 64(2), pages 152-158.
  2. Cui, Zhiwei & Wang, Shouyang & Zhang, Jin & Zu, Lei, 2013. "Stochastic stability in one-way flow networks," Mathematical Social Sciences, Elsevier, Elsevier, vol. 66(3), pages 410-421.
  3. Breitmoser, Yves & Vorjohann, Pauline, 2013. "Efficient structure of noisy communication networks," Mathematical Social Sciences, Elsevier, Elsevier, vol. 66(3), pages 396-409.
  4. Haller, Hans, 2012. "Network extension," Mathematical Social Sciences, Elsevier, Elsevier, vol. 64(2), pages 166-172.
  5. Olaizola Ortega, María Norma & Valenciano Llovera, Federico, 2012. "Asymmetric flow networks," IKERLANAK, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I Ikerlanak;2012-60, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
  6. Sumit Joshi & Poorvi Vora, 2013. "Weak and strong multimarket bidding rings," Economic Theory, Springer, Springer, vol. 53(3), pages 657-696, August.
  7. Jean Derks & Martijn Tennekes, 2009. "A note on the existence of Nash networks in one-way flow models," Economic Theory, Springer, Springer, vol. 41(3), pages 515-522, December.
  8. 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.

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