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Proportionality, Equality, and Duality in Bankruptcy Problems with Nontransferable Utility

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  • Dietzenbacher, Bas

    (Tilburg University, Center For Economic Research)

  • Estevez Fernandez, M.A.

    (Tilburg University, Center For Economic Research)

  • Borm, Peter

    (Tilburg University, Center For Economic Research)

  • Hendrickx, Ruud

    (Tilburg University, Center For Economic Research)

Abstract

This paper studies bankruptcy problems with nontransferable utility as a generalization of bankruptcy problems with monetary estate and claims. Following the theory on TU-bankruptcy, we introduce a duality notion for NTU-bankruptcy rules and derive several axiomatic characterizations of the proportional rule and the constrained relative equal awards rule.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Dietzenbacher, Bas & Estevez Fernandez, M.A. & Borm, Peter & Hendrickx, Ruud, 2016. "Proportionality, Equality, and Duality in Bankruptcy Problems with Nontransferable Utility," Discussion Paper 2016-026, Tilburg University, Center for Economic Research.
    • Handle: RePEc:tiu:tiucen:959bd6d8-7c49-4479-9fd3-bacdc3b6d912
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    References listed on IDEAS

    as
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    Cited by:

    1. Albizuri, M.J. & Dietzenbacher, B.J. & Zarzuelo, J.M., 2020. "Bargaining with independence of higher or irrelevant claims," Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 11-17.
    2. Yang Zheng & Xuefeng Sang & Zhiwu Liu & Siqi Zhang & Pan Liu, 2022. "Water Allocation Management Under Scarcity: a Bankruptcy Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 36(9), pages 2891-2912, July.
    3. Dietzenbacher, Bas, 2018. "Bankruptcy games with nontransferable utility," Mathematical Social Sciences, Elsevier, vol. 92(C), pages 16-21.
    4. Bas Dietzenbacher & Peter Borm & Arantza Estévez-Fernández, 2020. "NTU-bankruptcy problems: consistency and the relative adjustment principle," Review of Economic Design, Springer;Society for Economic Design, vol. 24(1), pages 101-122, June.
    5. Bas Dietzenbacher & Hans Peters, 2022. "Characterizing NTU-bankruptcy rules using bargaining axioms," Annals of Operations Research, Springer, vol. 318(2), pages 871-888, November.
    6. Dietzenbacher, Bas & Borm, Peter & Hendrickx, Ruud, 2017. "Egalitarianism in Nontransferable Utility Games," Discussion Paper 2017-023, Tilburg University, Center for Economic Research.
    7. William Thomson, 2022. "On the axiomatic theory of bargaining: a survey of recent results," Review of Economic Design, Springer;Society for Economic Design, vol. 26(4), pages 491-542, December.
    8. Bas Dietzenbacher, 2023. "Generalizing the constrained equal awards rule," Theory and Decision, Springer, vol. 95(1), pages 131-150, July.

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    More about this item

    Keywords

    NTU-bankruptcy problem; axiomatic analysis; duality; proportional rule; constrained relative equal awards rule;
    All these keywords.

    JEL classification:

    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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