IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this paper

An allocation rule for dynamic random network formation processes

  • Jean-François Caulier

    ()

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Michel Grabisch

    ()

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics)

  • Agnieszka Rusinowska

    ()

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics)

Most allocation rules for network games presented in the literature assume that the network structure is fixed. We put explicit emphasis on the construction of networks and examine the dynamic formation of networks whose evolution across time periods is stochastic. Time-series of networks are studied that describe processes of network formation where links may appear or disappear at any period. Moreover, convergence to an efficient network is not necessarily prescribed. Transitions from one network to another are random and yield a Markov chain. We propose the link-based allocation rule for such dynamic random network formation processes and provide its axiomatic characterization. By considering a monotone game and a particular (natural) network formation process we recover the link-based flexible network allocation rule of Jackson.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: https://halshs.archives-ouvertes.fr/halshs-00881125/document
Download Restriction: no

Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00881125.

as
in new window

Length:
Date of creation: Aug 2013
Date of revision:
Publication status: Published in Documents de travail du Centre d'Economie de la Sorbonne 2013.63 - ISSN : 1955-611X. 2013
Handle: RePEc:hal:cesptp:halshs-00881125
Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00881125
Contact details of provider: Web page: https://hal.archives-ouvertes.fr/

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. HERINGS, Jean-Jacques & MAULEON, Ana & VANNETELBOSCH, Vincent, . "Farsightedly stable networks," CORE Discussion Papers RP 2171, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Jackson, Matthew O., 1998. "The Evolution of Social and Economic Networks," Working Papers 1044, California Institute of Technology, Division of the Humanities and Social Sciences.
  3. Navarro Prada, Noemí, 2013. "Expected Fair Allocation in Farsighted Network Formation," IKERLANAK 10330, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
  4. Hamiache, Gerard, 1999. "A Value with Incomplete Communication," Games and Economic Behavior, Elsevier, vol. 26(1), pages 59-78, January.
  5. Frank H. Page Jr. & Myrna H. Wooders & Samir Kamat, 2002. "Networks and Farsighted Stability," Computing in Economics and Finance 2002 370, Society for Computational Economics.
  6. Vincent Vannetelbosch & Jean-François Caulier & Ana Mauleon, 2009. "Contractually Stable Networks," Working Papers 2009.47, Fondazione Eni Enrico Mattei.
  7. van den Nouweland, Anne & Borm, Peter & Tijs, Stef, 1992. "Allocation Rules for Hypergraph Communication Situations," International Journal of Game Theory, Springer;Game Theory Society, vol. 20(3), pages 255-68.
  8. Guillaume Haeringer, 1998. "A new weight scheme for the Shapley value," Game Theory and Information 9807001, EconWPA.
  9. Frank Page & Myrna Wooders, 2007. "Strategic Basins of Attraction, the Path Dominance Core, and Network Formation Games," Caepr Working Papers 2007-020, Center for Applied Economics and Policy Research, Economics Department, Indiana University Bloomington.
  10. Hans Haller & Jurjen Kamphorst & Sudipta Sarangi, 2007. "(Non-)existence and Scope of Nash Networks," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(3), pages 597-604, June.
  11. Rodrigo Harrison & Roberto Muñoz, 2008. "Stability and equilibrium selection in a link formation game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(2), pages 335-345, November.
  12. Amandine Ghintran & Enrique Gonzalez-Arangüena & Conrado Manuel, 2010. "A probabilistic position value," Working Paper Series 1006, Óbuda University, Keleti Faculty of Business and Management.
  13. Dutta, Bhaskar & Mutuswami, Suresh, 1996. "Stable Networks," Working Papers 971, California Institute of Technology, Division of the Humanities and Social Sciences.
  14. 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.
  15. Dutta, B. & van den Nouweland, C.G.A.M. & Tijs, S.H., 2003. "Link formation in cooperative situations," Other publications TiSEM 840ac1d0-9e23-41a7-832e-8, Tilburg University, School of Economics and Management.
  16. Borm, P.E.M. & Owen, G. & Tijs, S.H., 1992. "On the position value for communication situations," Other publications TiSEM 5a8473e4-1df7-42df-ad53-f, Tilburg University, School of Economics and Management.
  17. Oviedo, Jorge, 2000. "The core of a repeated n-person cooperative game," European Journal of Operational Research, Elsevier, vol. 127(3), pages 519-524, December.
  18. repec:hal:cesptp:halshs-00749950 is not listed on IDEAS
  19. van den Nouweland, Anne & Slikker, Marco, 2012. "An axiomatic characterization of the position value for network situations," Mathematical Social Sciences, Elsevier, vol. 64(3), pages 266-271.
  20. Bhaskar Dutta & Sayantan Ghosal & Debraj Ray, 2004. "Farsighted Network Formation," Working papers 122, Centre for Development Economics, Delhi School of Economics.
  21. Page Jr., Frank H. & Wooders, Myrna, 2007. "Networks and clubs," Journal of Economic Behavior & Organization, Elsevier, vol. 64(3-4), pages 406-425.
  22. Slikker, Marco, 2007. "Bidding for surplus in network allocation problems," Journal of Economic Theory, Elsevier, vol. 137(1), pages 493-511, November.
  23. repec:hal:journl:halshs-00749950 is not listed on IDEAS
  24. Ulrich Faigle & Michel Grabisch, 2013. "A Note on Values for Markovian Coalition Processes," PSE - Labex "OSE-Ouvrir la Science Economique" halshs-00912889, HAL.
  25. David Pérez-Castrillo & David Wettstein, 2004. "Forming Efficient Networks," UFAE and IAE Working Papers 609.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  26. Kranich,Laurence & Peree,Andrea & Peters,Hans, 2001. "Core Concepts for Dynamic TU Games," Research Memorandum 013, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  27. Watts, Alison, 2002. "Non-myopic formation of circle networks," Economics Letters, Elsevier, vol. 74(2), pages 277-282, January.
  28. Ehud Lehrer & Marco Scarsini, 2013. "On the Core of Dynamic Cooperative Games," Dynamic Games and Applications, Springer, vol. 3(3), pages 359-373, September.
  29. Hideo Konishi & Debraj Ray, 2000. "Coalition Formation as a Dynamic Process," Boston College Working Papers in Economics 478, Boston College Department of Economics, revised 15 Apr 2002.
  30. Ulrich Faigle & Michel Grabisch, 2012. "Values for Markovian coalition processes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(3), pages 505-538, November.
  31. repec:hal:cesptp:halshs-00912889 is not listed on IDEAS
  32. Frank H. Page, Jr. & Myrna H. Wooders, 2009. "Club Networks with Multiple Memberships and Noncooperative Stability," Caepr Working Papers 2009-005, Center for Applied Economics and Policy Research, Economics Department, Indiana University Bloomington.
  33. Ghintran, Amandine, 2013. "Weighted position values," Mathematical Social Sciences, Elsevier, vol. 65(3), pages 157-163.
  34. David Pérez-Castrillo & David Wettstein, . "Bidding For The Surplus: A Non-Cooperative Approach To The Shapley Value," UFAE and IAE Working Papers 461.00, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  35. Jesús Mario Bilbao & Nieves Jiménez & Jorge Jesús López, 2004. "A note on a value with incomplete communication," Economic Working Papers at Centro de Estudios Andaluces E2004/55, Centro de Estudios Andaluces.
  36. Watts, Alison, 2001. "A Dynamic Model of Network Formation," Games and Economic Behavior, Elsevier, vol. 34(2), pages 331-341, February.
  37. Predtetchinski, Arkadi, 2007. "The strong sequential core for stationary cooperative games," Games and Economic Behavior, Elsevier, vol. 61(1), pages 50-66, October.
  38. Bilbao, J.M. & Jimenez, N. & Lopez, J.J., 2006. "A note on a value with incomplete communication," Games and Economic Behavior, Elsevier, vol. 54(2), pages 419-429, February.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:hal:cesptp:halshs-00881125. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (CCSD)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.