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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. "A characterization of the position value," International Journal of Game Theory, Springer, Springer, vol. 33(4), pages 505-514, November.
  2. Matthew O. Jackson & Asher Wolinsky, 1994. "A Strategic Model of Social and Economic Networks," Discussion Papers, Northwestern University, Center for Mathematical Studies in Economics and Management Science 1098, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  3. 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.
  4. Guillaume HAERINGER, 1999. "A New Weight Scheme for the Shapley Value," Working Papers of BETA 9910, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
  5. Matthew O. Jackson & Anne van den Nouweland, 2002. "Strongly Stable Networks," Microeconomics, EconWPA 0211006, EconWPA.
  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. 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.
  8. Slikker, M., 1999. "Link Monotonic Allocation Schemes," Discussion Paper, Tilburg University, Center for Economic Research 1999-06, Tilburg University, Center for Economic Research.
  9. Hamiache, Gerard, 1999. "A Value with Incomplete Communication," Games and Economic Behavior, Elsevier, vol. 26(1), pages 59-78, January.
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Cited by:
  1. Jean-François Caulier & Michel Grabisch & Agnieszka Rusinowska, 2013. "An allocation rule for dynamic random network formation processes," Documents de travail du Centre d'Economie de la Sorbonne, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne 13063, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  2. repec:pdn:wpaper:73 is not listed on IDEAS

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