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Some non-superadditive games, and their Shapley values, in the Talmud

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  • Robert Aumann

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  • Robert Aumann, 2010. "Some non-superadditive games, and their Shapley values, in the Talmud," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 3-10, March.
  • Handle: RePEc:spr:jogath:v:39:y:2010:i:1:p:3-10
    DOI: 10.1007/s00182-009-0191-4
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    References listed on IDEAS

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    1. Robert J. Aumann, 2025. "Game-Theoretic Analysis of a Bankruptcy Problem from the Talmud," World Scientific Book Chapters, in: SELECTED CONTRIBUTIONS TO GAME THEORY, chapter 9, pages 219-242, World Scientific Publishing Co. Pte. Ltd..
    2. 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.
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    Cited by:

    1. Lipschütz Itay & Schwarz Mordechai E., 2020. "Fairness Vs. Economic Efficiency: Lessons from an Interdisciplinary Analysis of Talmudic Bankruptcy Law," Review of Law & Economics, De Gruyter, vol. 16(3), pages 1-38, November.
    2. Victor Ginsburgh & Juan D. Moreno‐Ternero, 2018. "Compensation schemes for learning a Lingua Franca in the European Union," The World Economy, Wiley Blackwell, vol. 41(7), pages 1775-1789, July.
    3. Adegbemi Babatunde Onakoya & Ayooluwa Eunice Olotu, 2017. "Bankruptcy and Insolvency: An Exploration of Relevant Theories," International Journal of Economics and Financial Issues, Econjournals, vol. 7(3), pages 706-712.
    4. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2024. "Axiomatic characterizations of the core and the Shapley value of the broadcasting game," International Journal of Game Theory, Springer;Game Theory Society, vol. 53(3), pages 977-988, September.
    5. Thomson, William, 2015. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: An update," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 41-59.
    6. Louis de Mesnard, 2015. "The three wives problem and Shapley value," Post-Print hal-01091714, HAL.
    7. Victor Ginsburgh & Juan D. Moreno-Ternero, 2018. "On Poverty and the International Allocation of Development Aid," Working Papers ECARES 2018-23, ULB -- Universite Libre de Bruxelles.
    8. Hu, Xun-Feng & Li, Deng-Feng & Xu, Gen-Jiu, 2018. "Fair distribution of surplus and efficient extensions of the Myerson value," Economics Letters, Elsevier, vol. 165(C), pages 1-5.
    9. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2011. "On the number of blocks required to access the coalition structure core," MPRA Paper 29755, University Library of Munich, Germany.
    10. Youngsub Chun & Boram Park, 2016. "The airport problem with capacity constraints," Review of Economic Design, Springer;Society for Economic Design, vol. 20(3), pages 237-253, September.
    11. Moreno-Ternero, Juan D., 2013. "A new analysis of a simple model of fair allocation," Economics Letters, Elsevier, vol. 118(2), pages 393-395.
    12. Leobardo Plata-Perez & Joss Sanchez-Perez, 2011. "Convexity and marginal contributions in bankruptcy games," EconoQuantum, Revista de Economia y Finanzas, Universidad de Guadalajara, Centro Universitario de Ciencias Economico Administrativas, Departamento de Metodos Cuantitativos y Maestria en Economia., vol. 8(1), pages 61-72, Julio-Dic.

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