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An axiomatic characterization of the position value for network situations

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  • van den Nouweland, Anne
  • Slikker, Marco

Abstract

Network situations as introduced by Jackson and Wolinsky (1996) incorporate the influence of the architecture of a network rather than just the connectivity it provides and thereby provide a more flexible setting than communication situations, which consist of a game with transferable utility and a network. We characterize the position value for network situations along the lines of the characterization of the Shapley value by Shapley (1953). In contrast to previous attempts to provide such an axiomatization, we require no condition on the underlying network. The reason for this is that we exploit the additional flexibility of network situations.

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Bibliographic Info

Article provided by Elsevier in its journal Mathematical Social Sciences.

Volume (Year): 64 (2012)
Issue (Month): 3 ()
Pages: 266-271

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Handle: RePEc:eee:matsoc:v:64:y:2012:i:3:p:266-271

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Web page: http://www.elsevier.com/locate/inca/505565

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  1. Marco Slikker, 2005. "Link Monotonic Allocation Schemes," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 7(04), pages 473-489.
  2. 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.
  3. Guillaume Haeringer, 1998. "A new weight scheme for the Shapley value," Game Theory and Information 9807001, EconWPA.
  4. Matthew O. Jackson, 2001. "Strongly Stable Networks," University of Oregon Economics Department Working Papers 2001-3, University of Oregon Economics Department, revised 15 Nov 2002.
  5. Herings, P. Jean Jacques & van der Laan, Gerard & Talman, Dolf, 2008. "The average tree solution for cycle-free graph games," Games and Economic Behavior, Elsevier, vol. 62(1), pages 77-92, January.
  6. Amandine Ghintran & Enrique Gonzalez-Arangüena & Conrado Manuel, 2010. "A probabilistic position value," Working Paper Series 1006, Óbuda University, Keleti Faculty of Business and Management.
  7. Hamiache, Gerard, 1999. "A Value with Incomplete Communication," Games and Economic Behavior, Elsevier, vol. 26(1), pages 59-78, January.
  8. Marco Slikker, 2005. "A characterization of the position value," International Journal of Game Theory, Springer, vol. 33(4), pages 505-514, November.
  9. Borm, P.E.M. & Owen, G. & Tijs, S.H., 1992. "On the position value for communication situations," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154855, Tilburg University.
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Cited by:
  1. repec:pdn:wpaper:73 is not listed on IDEAS
  2. Jean-François Caulier & Michel Grabisch & Agnieszka Rusinowska, 2013. "An allocation rule for dynamic random network formation processes," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00881125, HAL.

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