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The Family of Least Square Values for Transferable Utility Games

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Author Info

  • Ruiz, Luis M.
  • Valenciano, Federico
  • Zarzuelo, Jose M.

Abstract

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File URL: http://www.sciencedirect.com/science/article/B6WFW-45JK6BK-8/2/6cef9b5651eac5266138c47f8aeef7b7
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Bibliographic Info

Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 24 (1998)
Issue (Month): 1-2 (July)
Pages: 109-130

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Handle: RePEc:eee:gamebe:v:24:y:1998:i:1-2:p:109-130

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Web page: http://www.elsevier.com/locate/inca/622836

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References

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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  1. Maschler, Michael, 1992. "The bargaining set, kernel, and nucleolus," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 18, pages 591-667 Elsevier.
  2. Ruiz, Luis M & Valenciano, Federico & Zarzuelo, Jose M, 1996. "The Least Square Prenucleolus and the Least Square Nucleolus. Two Values for TU Games Based on the Excess Vector," International Journal of Game Theory, Springer, vol. 25(1), pages 113-34.
  3. Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
  4. Pradeep Dubey & Abraham Neyman & Robert J. Weber, 1979. "Value Theory without Efficiency," Cowles Foundation Discussion Papers 513, Cowles Foundation for Research in Economics, Yale University.
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Citations

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Cited by:
  1. Carreras, Francesc & Giménez, José Miguel, 2011. "Power and potential maps induced by any semivalue: Some algebraic properties and computation by multilinear extensions," European Journal of Operational Research, Elsevier, vol. 211(1), pages 148-159, May.
  2. Elena Yanovskaya, 2011. "Excess Values for Cooperative Games with Transferable Utilities and Double Consistent Allocation Methods," HSE Working papers WP BRP 10/EC/2011, National Research University Higher School of Economics.
  3. Ramón Jesús Flores Díaz & Elisenda Molina & Juan Tejada, 2013. "The Shapley group value," Statistics and Econometrics Working Papers ws133430, Universidad Carlos III, Departamento de Estadística y Econometría.
  4. Xu, Genjiu & Driessen, Theo S.H. & Sun, Hao & Su, Jun, 2013. "Consistency for the additive efficient normalization of semivalues," European Journal of Operational Research, Elsevier, vol. 224(3), pages 566-571.
  5. Sylvain Béal & Eric Rémila & Philippe Solal, 2013. "A Decomposition of the Space of TU-games Using Addition and Transfer Invariance," Working Papers 2013-08, CRESE.
  6. Kamijo, Yoshio & Kongo, Takumi, 2012. "Whose deletion does not affect your payoff? The difference between the Shapley value, the egalitarian value, the solidarity value, and the Banzhaf value," European Journal of Operational Research, Elsevier, vol. 216(3), pages 638-646.
  7. Francisco Sanchez-Sanchez & Ruben Juarez & Luis Hernandez-Lamoneda, 2008. "Solutions without dummy axiom for TU cooperative games," Economics Bulletin, AccessEcon, vol. 3(1), pages 1-9.
  8. Chameni Nembua, Célestin & Demsou, Themoi, 2013. "Ordinal equivalence of values and Pigou-Dalton transfers in TU-games," MPRA Paper 44895, University Library of Munich, Germany, revised 09 Mar 2013.
  9. Theo Driessen, 2010. "Associated consistency and values for TU games," International Journal of Game Theory, Springer, vol. 39(3), pages 467-482, July.
  10. Ulrich Faigle & Michel Grabisch, 2014. "Linear Transforms, Values and Least Square Approximation for Cooperation Systems," Documents de travail du Centre d'Economie de la Sorbonne 14010, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  11. repec:ebl:ecbull:v:3:y:2008:i:1:p:1-9 is not listed on IDEAS
  12. Radzik, Tadeusz & Driessen, Theo, 2013. "On a family of values for TU-games generalizing the Shapley value," Mathematical Social Sciences, Elsevier, vol. 65(2), pages 105-111.
  13. Ulrich Faigle & Michel Grabisch, 2014. "Linear Transforms, Values and Least Square Approximation for Cooperation Systems," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00971393, HAL.
  14. Klaus Kultti & Hannu Salonen, 2007. "Minimum norm solutions for cooperative games," International Journal of Game Theory, Springer, vol. 35(4), pages 591-602, April.
  15. Sylvain Béal & Eric Rémila & Philippe Solal, 2012. "Compensations in the Shapley value and the compensation solutions for graph games," International Journal of Game Theory, Springer, vol. 41(1), pages 157-178, February.
  16. Chang, Chih & Hu, Cheng-Cheng, 2007. "Reduced game and converse consistency," Games and Economic Behavior, Elsevier, vol. 59(2), pages 260-278, May.
  17. Lee, Joosung & Driessen, Theo S.H., 2012. "Sequentially two-leveled egalitarianism for TU games: Characterization and application," European Journal of Operational Research, Elsevier, vol. 220(3), pages 736-743.
  18. Casajus, André & Huettner, Frank, 2013. "Null players, solidarity, and the egalitarian Shapley values," Journal of Mathematical Economics, Elsevier, vol. 49(1), pages 58-61.

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