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Egalitarian distributions in coalitional models: The Lorenz criterion

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  • Arin Aguirre, Francisco Javier

Abstract

The paper presents a framework where the most important single-valued solutions in the literature of TU games are jointly analyzed. The paper also suggests that similar frameworks may be useful for other coalitional models.

Suggested Citation

  • Arin Aguirre, Francisco Javier, 2003. "Egalitarian distributions in coalitional models: The Lorenz criterion," IKERLANAK 6503, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
  • Handle: RePEc:ehu:ikerla:6503
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    File URL: https://addi.ehu.es/handle/10810/6503
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    References listed on IDEAS

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    5. Javier Arin & Jeroen Kuipers & Dries Vermeulen, 2008. "An axiomatic approach to egalitarianism in TU-games," International Journal of Game Theory, Springer;Game Theory Society, vol. 37(4), pages 565-580, December.
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    7. V. Feltkamp & Javier Arin, 2002. "Lorenz undominated allocations for TU-games: The weighted Coalitional Lorenz Solutions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(4), pages 869-884.
    8. SCHMEIDLER, David, 1969. "The nucleolus of a characteristic function game," LIDAM Reprints CORE 44, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. Maschler, M & Potters, J A M & Tijs, S H, 1992. "The General Nucleolus and the Reduced Game Property," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(1), pages 85-106.
    10. 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;Game Theory Society, vol. 25(1), pages 113-134.
    11. Dutta, B, 1990. "The Egalitarian Solution and Reduced Game Properties in Convex Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(2), pages 153-169.
    12. 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.
    13. Bezalel Peleg & Peter SudhÃlter, 1998. "Nucleoli as maximizers of collective satisfaction functions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(3), pages 383-411.
    14. Javier Arin & Elena Inarra, 2001. "Egalitarian solutions in the core," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(2), pages 187-193.
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    Cited by:

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    2. Naber, S.K. & de Ree, D.A. & Spliet, R. & van den Heuvel, W., 2015. "Allocating CO2 emission to customers on a distribution route," Omega, Elsevier, vol. 54(C), pages 191-199.
    3. van Zon, M. & Spliet, R. & van den Heuvel, W., 2021. "The effect of algorithm capabilities on cooperative games," Econometric Institute Research Papers EI2021-02, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.

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