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The Two-stage Constrained Equal Awards and Losses Rules for Multi-Issue Allocation Situation

Author

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  • Lorenzo-Freire, S.
  • Casas-Mendez, B.
  • Hendrickx, R.L.P.

    (Tilburg University, Center For Economic Research)

Abstract

This paper considers two-stage solutions for multi-issue allocation situations.Characterisations are provided for the two-stage constrained equal awards and constrained equal losses rules, based on the properties of composition and path independence.
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Suggested Citation

  • Lorenzo-Freire, S. & Casas-Mendez, B. & Hendrickx, R.L.P., 2005. "The Two-stage Constrained Equal Awards and Losses Rules for Multi-Issue Allocation Situation," Discussion Paper 2005-80, Tilburg University, Center for Economic Research.
    • Handle: RePEc:tiu:tiucen:a94f2306-7d29-4ad6-8e81-e121312627ab
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    References listed on IDEAS

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    1. ,, 2001. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 17(6), pages 1157-1160, December.
    2. Antonio Villar Notario & Carmen Herrero Blanco, 1998. "- Preeminence And Sustainability In Bankruptcy Problems," Working Papers. Serie AD 1998-17, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
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    4. ,, 2001. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 17(5), pages 1025-1031, October.
    5. Calleja, Pedro & Borm, Peter & Hendrickx, Ruud, 2005. "Multi-issue allocation situations," European Journal of Operational Research, Elsevier, vol. 164(3), pages 730-747, August.
    6. Casas-Mendez, B. & Borm, P.E.M. & Carpente, L. & Hendrickx, R.L.P., 2002. "The Constrained Equal Award Rule for Bankruptcy Problems with a Priori Unions," Discussion Paper 2002-83, Tilburg University, Center for Economic Research.
    7. Nir Dagan, 1996. "New characterizations of old bankruptcy rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(1), pages 51-59, January.
    8. Hervé Moulin, 2000. "Priority Rules and Other Asymmetric Rationing Methods," Econometrica, Econometric Society, vol. 68(3), pages 643-684, May.
    9. Young, H. P., 1988. "Distributive justice in taxation," Journal of Economic Theory, Elsevier, vol. 44(2), pages 321-335, April.
    10. Herrero, Carmen & Villar, Antonio, 2001. "The three musketeers: four classical solutions to bankruptcy problems," Mathematical Social Sciences, Elsevier, vol. 42(3), pages 307-328, November.
    11. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
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    Citations

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    Cited by:

    1. Izquierdo, Josep M. & Timoner, Pere, 2019. "Decentralized rationing problems and the proportional rule," Economics Letters, Elsevier, vol. 175(C), pages 88-91.
    2. Sinan Ertemel & Rajnish Kumar, 2018. "Proportional rules for state contingent claims," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(1), pages 229-246, March.
    3. Oihane Gallo & Bettina Klaus, 2022. "Stable partitions for proportional generalized claims problems," Cahiers de Recherches Economiques du Département d'économie 22.03, Université de Lausanne, Faculté des HEC, Département d’économie.
    4. Josep Maria Izquierdo Aznar & Pere Timoner Lledó, 2016. "Decentralized rationing problems," UB School of Economics Working Papers 2016/345, University of Barcelona School of Economics.
    5. Gustavo Bergantiños & Jose María Chamorro & Leticia Lorenzo & Silvia Lorenzo‐Freire, 2018. "Mixed rules in multi‐issue allocation situations," Naval Research Logistics (NRL), John Wiley & Sons, vol. 65(1), pages 66-77, February.
    6. Rick K. Acosta & Encarnación Algaba & Joaquín Sánchez-Soriano, 2022. "Multi-issue bankruptcy problems with crossed claims," Annals of Operations Research, Springer, vol. 318(2), pages 749-772, November.
    7. Gustavo Bergantiños & Leticia Lorenzo & Silvia Lorenzo-Freire, 2011. "New characterizations of the constrained equal awards rule in multi-issue allocation situations," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 74(3), pages 311-325, December.
    8. 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.
    9. J. Sánchez-Pérez, 2023. "New results for multi-issue allocation problems and their solutions," Review of Economic Design, Springer;Society for Economic Design, vol. 27(2), pages 313-336, June.
    10. Josep Maria Izquierdo Aznar & Pere Timoner Lledó, 2016. "Constrained multi-issue rationing problems," UB School of Economics Working Papers 2016/347, University of Barcelona School of Economics.

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    More about this item

    Keywords

    multi-issue allocation situations; constrained equal awards; constrained equal losses; two-stage solutions;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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