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On the coincidence of the prenucleolus and the Shapley value

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  • Kar, Anirban
  • Mitra, Manipushpak
  • Mutuswami, Suresh

Abstract

We extend the literature on the coincidence of the prenucleolus and the Shapley value, by identifying a class of coalitional form games called PS games. We analyse the role of PS games in the context of queueing problems, and show that in the class of generalized queueing games only those queueing games with 'linear externalities' are PS games.

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Bibliographic Info

Article provided by Elsevier in its journal Mathematical Social Sciences.

Volume (Year): 57 (2009)
Issue (Month): 1 (January)
Pages: 16-25

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Handle: RePEc:eee:matsoc:v:57:y:2009:i:1:p:16-25

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

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Keywords: Shapley value Prenucleolus PS games Generalized queueing games;

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References

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  1. Moulin,Hervi, 1991. "Axioms of Cooperative Decision Making," Cambridge Books, Cambridge University Press, number 9780521424585.
  2. Maniquet, F., 2000. "A Characterization of the Shapley Value in Queueing Problems," Papers 222, Notre-Dame de la Paix, Sciences Economiques et Sociales.
  3. 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.
  4. Martin J Osborne & Ariel Rubinstein, 2009. "A Course in Game Theory," Levine's Bibliography 814577000000000225, UCLA Department of Economics.
  5. van den Nouweland, A. & Borm, P. & van Golstein, W. & Bruinderink, R.G. & Tijs, S., 1994. "A Game Theoretic Approach to Problems in Telecommunication," Papers 9407, Tilburg - Center for Economic Research.
  6. Chun, Youngsub, 2006. "A pessimistic approach to the queueing problem," Mathematical Social Sciences, Elsevier, vol. 51(2), pages 171-181, March.
  7. Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
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Cited by:
  1. José M. Jiménez Gómez & María del Carmen Marco Gil & Pedro Gadea Blanco, 2010. "Some game-theoretic grounds for meeting people half-way," Working Papers. Serie AD 2010-04, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  2. Conan Mukherjee, 2013. "Weak group strategy-proof and queue-efficient mechanisms for the queueing problem with multiple machines," International Journal of Game Theory, Springer, vol. 42(1), pages 131-163, February.
  3. Chang, Chih & Tseng, Ying-Chih, 2011. "On the coincidence property," Games and Economic Behavior, Elsevier, vol. 71(2), pages 304-314, March.

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