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How the Talmud Divides an Estate Among Creditors

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Bridging Mathematics, Statistics, Engineering and Technology

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 24))

Abstract

The Talmud gives examples of how to divide an estate among creditors when the debts total more than the estate, but it is not clear what the algorithm is. We describe the solution of this problem by Aumann, Maschler, and Kaminski, and its relation to game theory.

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References

  1. Aumann, R.J., Maschler, M.: Game theoretic analysis of a bankruptcy problem from the Talmud. J. Econ. Theor. 36, 195–213 (1985)

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  2. Aumann, R.J.: Working with Mike, in Michael Maschler: In Memoriam. Center for the Study of Rationality, Hebrew University of Jerusalem (2008)

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  3. Kaminski, M.: Hydraulic rationing. Math. Soc. Sci. 40, 131–155 (2000)

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  4. Kaminski, M.: personal communication.

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Author information

Authors and Affiliations

  1. Department of Mathematics, North Carolina State University, Raleigh, NC, 27695, USA

    Stephen Schecter

Authors
  1. Stephen Schecter
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Correspondence to Stephen Schecter .

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Editors and Affiliations

  1. , Dept of Mathematics & Computer Sciences, Virginia State University, P.O. Box 9068, Petersburg, 23806, Virginia, USA

    Bourama Toni

  2. , Department of Technology, Virginia State University, P.O. Box 9068, Petersburg, 23806, Virginia, USA

    Keith Williamson

  3. , Department of Engineering, Virginia State University, P.O. Box 9068, Petersburg, 23806, Virginia, USA

    Nasser Ghariban

  4. , Department of Mathematics & Computer Sci, Virginia State University, P.O. Box 9068, Petersburg, 23806, Virginia, USA

    Dawit Haile

  5. , Department of Mathematics & Computer Sci, Virginia State University, P.O. Box 9068, Petersburg, 23806, Virginia, USA

    Zhifu Xie

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© 2012 Springer Science+Business Media New York

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Schecter, S. (2012). How the Talmud Divides an Estate Among Creditors. In: Toni, B., Williamson, K., Ghariban, N., Haile, D., Xie, Z. (eds) Bridging Mathematics, Statistics, Engineering and Technology. Springer Proceedings in Mathematics & Statistics, vol 24. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4559-3_4

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