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Minimum Cost Spanning Tree Games and Spillover Stability

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  • Ruud Hendrickx
  • Jacco Thijssen
  • Peter Borm

Abstract

This paper discusses minimum cost spanning tree games and argues that the standard approach of using a transferable utility game to come up with a fair allocation of the total costs has some flaws. A new model of spillover games is presented, in which each agent's decision whether or not to cooperate is properly taken into account.

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File URL: http://www.york.ac.uk/media/economics/documents/discussionpapers/2011/1102.pdf
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Bibliographic Info

Paper provided by Department of Economics, University of York in its series Discussion Papers with number 11/02.

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Date of creation: Jan 2011
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Handle: RePEc:yor:yorken:11/02

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Postal: Department of Economics and Related Studies, University of York, York, YO10 5DD, United Kingdom
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Keywords: minimum cost spanning tree problems; transferable utility games; spillovers;

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  1. Ray, D. & Vohra, R., 1996. "A Theory of Endogenous Coalition Structure," Papers 68, Boston University - Industry Studies Programme.
  2. Ichiishi, Tatsuro, 1981. "Super-modularity: Applications to convex games and to the greedy algorithm for LP," Journal of Economic Theory, Elsevier, vol. 25(2), pages 283-286, October.
  3. Curiel, Imma & Pederzoli, Giorgio & Tijs, Stef, 1989. "Sequencing games," European Journal of Operational Research, Elsevier, vol. 40(3), pages 344-351, June.
  4. Borm, P.E.M. & Hamers, H.J.M. & Hendrickx, R.L.P., 2001. "Operations Research Games: A Survey," Discussion Paper 2001-45, Tilburg University, Center for Economic Research.
  5. Curiel, I. & Pederzoli, G. & Tijs, S.H., 1989. "Sequencing games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154243, Tilburg University.
  6. Bloch, Francis, 1996. "Sequential Formation of Coalitions in Games with Externalities and Fixed Payoff Division," Games and Economic Behavior, Elsevier, vol. 14(1), pages 90-123, May.
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