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On the coincidence of the Prenucleolus and the Shapley Value

  • Anirban Kar
  • Manipushpak Mitra
  • Suresh Mutuswami

    ()

We identify a sufficient class of coalitional form games with transferable utility for which prenucleolus coincides with the Shapley value. We then apply our result to simple games and to generalized queueing games.

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File URL: http://www.essex.ac.uk/economics/discussion-papers/papers-text/dp599.pdf
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Paper provided by University of Essex, Department of Economics in its series Economics Discussion Papers with number 599.

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Date of creation: 28 Sep 2005
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Handle: RePEc:esx:essedp:599
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  1. A. van den Nouweland & P. Borm & W. van Golstein Brouwers & R. Groot Bruinderink & S. Tijs, 1996. "A Game Theoretic Approach to Problems in Telecommunication," Management Science, INFORMS, vol. 42(2), pages 294-303, February.
  2. Winter, Eyal, 2002. "The shapley value," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 53, pages 2025-2054 Elsevier.
  3. Maniquet, F., 2000. "A Characterization of the Shapley Value in Queueing Problems," Papers 222, Notre-Dame de la Paix, Sciences Economiques et Sociales.
  4. repec:cup:cbooks:9780521424585 is not listed on IDEAS
  5. Chun, Youngsub, 2006. "A pessimistic approach to the queueing problem," Mathematical Social Sciences, Elsevier, vol. 51(2), pages 171-181, March.
  6. van den Nouweland, C.G.A.M. & Borm, P.E.M. & van Golstein Brouwers, W. & Groot Bruinderink, R. & Tijs, S.H., 1996. "A game theoretic approach to problems in telecommunication," Other publications TiSEM a3b30529-fe17-484c-8eab-7, Tilburg University, School of Economics and Management.
  7. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, June.
  8. Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
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