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On the Bankruptcy Situations and the Alexia Value

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  • S. Z. Alparslan Gök
  • A. Sarıarslan

Abstract

The main result of this paper is to show that the three ancient bankruptcy situations from the 2000‐year‐old Babylonian Talmud can be solved by using the average lexicographic value (Alexia) from cooperative game theory.

Suggested Citation

  • S. Z. Alparslan Gök & A. Sarıarslan, 2012. "On the Bankruptcy Situations and the Alexia Value," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:813060
    DOI: 10.1155/2012/813060
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    References listed on IDEAS

    as
    1. H. Peyton Young, 1987. "On Dividing an Amount According to Individual Claims or Liabilities," Mathematics of Operations Research, INFORMS, vol. 12(3), pages 398-414, August.
    2. Tijs, S.H., 2005. "The First Steps with Alexia, the Average Lexicographic Value," Discussion Paper 2005-123, Tilburg University, Center for Economic Research.
    3. Tijs, S.H., 2005. "The First Steps with Alexia, the Average Lexicographic Value," Other publications TiSEM 0b4f9565-59f7-477f-b8f8-9, Tilburg University, School of Economics and Management.
    4. 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..
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