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The reverse TAL-family of rules for bankruptcy problems

Author

Listed:
  • René VAN DEN BRINK
  • Juan D. MORENO-TERNERO

Abstract

This paper analyzes a family of rules for bankruptcy problems that generalizes the so-called reverse Talmud rule and encompasses both the constrained equal-awards rule and the constrained equal-losses rule. The family, introduced by van den Brink et al. (Eur J Oper Res 228:413–417, 2013), is a counterpart to the so-called TAL-family of rules, introduced and studied by Moreno-Ternero and Villar (Soc Choice Welf 27:231–249, 2006a), and it is included within the so-called CIC-family of rules introduced by Thomson (Soc Choice Welf 31:667–692, 2008). We provide a systematic study of the structural properties of the rules within the family, as well as its connections with the existing related literature.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • René VAN DEN BRINK & Juan D. MORENO-TERNERO, 2017. "The reverse TAL-family of rules for bankruptcy problems," LIDAM Reprints CORE 2873, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvrp:2873
    Note: In : Annals of Operations Research, 254, 449-465, 2017
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    Cited by:

    1. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2026. "Streaming problems as (multi-issue) claims problems," European Journal of Operational Research, Elsevier, vol. 329(3), pages 1030-1036.
    2. Atakan Dizarlar & Emin Karagözoğlu, 2023. "Kantian equilibria of a class of Nash bargaining games," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 25(4), pages 867-891, August.
    3. Juan D. Moreno-Ternero, 2017. "A Talmudic approach to bankruptcy problems," LIDAM Reprints CORE 2914, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Chakravarty, Satya R. & Sarkar, Palash, 2025. "Balancing inequality reduction against equality of liabilities in a taxation scheme," Journal of Mathematical Economics, Elsevier, vol. 118(C).
    5. Chatterjee, Siddharth & Ertemel, Sinan & Kumar, Rajnish, 2023. "Rationing rules for risky claims," Journal of Mathematical Economics, Elsevier, vol. 108(C).
    6. Sanchez-Soriano, Joaquin, 2021. "Families of sequential priority rules and random arrival rules with withdrawal limits," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 136-148.
    7. Juan D. Moreno‐Ternero & Min‐Hung Tsay & Chun‐Hsien Yeh, 2022. "Strategic justifications of the TAL family of rules for bankruptcy problems," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(1), pages 92-102, March.

    More about this item

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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