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Transversality of the Shapley value

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  • Stefano Moretti

    ()

  • Fioravante Patrone

    ()

Abstract

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File URL: http://hdl.handle.net/10.1007/s11750-008-0044-5
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Bibliographic Info

Article provided by Springer in its journal TOP.

Volume (Year): 16 (2008)
Issue (Month): 1 (July)
Pages: 1-41

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Handle: RePEc:spr:topjnl:v:16:y:2008:i:1:p:1-41

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Related research

Keywords: Coalitional game; Shapley value; Applied game theory; Axiomatizations; Game practice; 91-02; 91A12; 91A80;

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References

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  1. Ehud Kalai & Dov Samet, 1983. "On Weighted Shapley Values," Discussion Papers 602, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  2. Gomez, Daniel & Gonzalez-Aranguena, Enrique & Manuel, Conrado & Owen, Guillermo & del Pozo, Monica & Tejada, Juan, 2003. "Centrality and power in social networks: a game theoretic approach," Mathematical Social Sciences, Elsevier, vol. 46(1), pages 27-54, August.
  3. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
  4. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, December.
  5. Judith Timmer & Peter Borm & Stef Tijs, 2004. "On three Shapley-like solutions for cooperative games with random payoffs," International Journal of Game Theory, Springer, vol. 32(4), pages 595-613, 08.
  6. Hart, Sergiu, 2002. "Values of perfectly competitive economies," 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 57, pages 2169-2184 Elsevier.
  7. Young, H.P., 1994. "Cost allocation," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 34, pages 1193-1235 Elsevier.
  8. Sujis, J. & Borm, P. & De Waegenaere, A. & Tijs, S., 1995. "Cooperative Games with Stochastic Payoffs," Papers 9588, Tilburg - Center for Economic Research.
  9. Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
  10. Vazquez-Brage, M. & van den Nouweland, A. & Garcia-Jurado, I., 1997. "Owen's coalitional value and aircraft landing fees," Mathematical Social Sciences, Elsevier, vol. 34(3), pages 273-286, October.
  11. Patrone, Fioravante & Moretti, Stefano, 2004. "Cost allocation games with information costs," Economics Papers from University Paris Dauphine 123456789/4952, Paris Dauphine University.
  12. Mertens, Jean-Francois, 2002. "Some other economic applications of the 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 58, pages 2185-2201 Elsevier.
  13. Suijs, J.P.M. & Borm, P.E.M., 1999. "Stochastic cooperative games: Superadditivity, convexity and certainty equivalents," Open Access publications from Tilburg University urn:nbn:nl:ui:12-80645, Tilburg University.
  14. S. C. Littlechild & G. Owen, 1973. "A Simple Expression for the Shapley Value in a Special Case," Management Science, INFORMS, vol. 20(3), pages 370-372, November.
  15. Carmen Herrero Blanco & Paula González, 2001. "Optimal Sharing Of Surgical Costs In The Presence Of Queues," Working Papers. Serie AD 2001-27, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  16. Vladislav Kargin, 2005. "Uncertainty Of The Shapley Value," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 7(04), pages 517-529.
  17. Neyman, Abraham, 2002. "Values of games with infinitely many players," 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 56, pages 2121-2167 Elsevier.
  18. Stefano Moretti & Fioravante Patrone & Stefano Bonassi, 2007. "The class of microarray games and the relevance index for genes," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 15(2), pages 256-280, December.
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Citations

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Cited by:
  1. Joaquín Sánchez-Soriano, 2008. "Comments on: Transversality of the Shapley value," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 16(1), pages 54-57, July.
  2. Perea, Federico & Puerto, Justo & Fernández, Francisco R., 2012. "Avoiding unfairness of Owen allocations in linear production processes," European Journal of Operational Research, Elsevier, vol. 220(1), pages 125-131.
  3. 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).
  4. M. Fiestras-Janeiro & I. García-Jurado & A. Meca & M. Mosquera, 2012. "Cost allocation in inventory transportation systems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 20(2), pages 397-410, July.
  5. Alcalde, Jose & Marco-Gil, María del Carmen & Silva, José A., 2010. "Merging and Going Bankrupt: A Neutral Solution," MPRA Paper 28339, University Library of Munich, Germany.
  6. M. Fiestras-Janeiro & Ignacio García-Jurado & Manuel Mosquera, 2011. "Cooperative games and cost allocation problems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 19(1), pages 1-22, July.

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