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Rationing in the presence of baselines

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  • Jens Hougaard

    ()

  • Juan Moreno-Ternero
  • Lars Østerdal

Abstract

We analyze a general model of rationing in which agents have baselines, in addition to claims against the (insufficient) endowment of the good to be allocated. Many real-life problems fit this general model (e.g., bankruptcy with prioritized claims, resource allocation in the public health care sector, water distribution in drought periods). We introduce (and characterize) a natural class of allocation methods for this model. Any method within the class is associated with a rule in the standard rationing model, and we show that if the latter obeys some focal properties, the former obeys them too. Copyright Springer-Verlag 2013

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Bibliographic Info

Article provided by Springer in its journal Social Choice and Welfare.

Volume (Year): 40 (2013)
Issue (Month): 4 (April)
Pages: 1047-1066

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Handle: RePEc:spr:sochwe:v:40:y:2013:i:4:p:1047-1066

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  1. MORENO-TERNERO, Juan D. & VILLAR, Antonio, . "The TAL-family or rules for bankruptcy problems," CORE Discussion Papers RP -1897, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Kaminski, Marek M., 2006. "Parametric rationing methods," Games and Economic Behavior, Elsevier, vol. 54(1), pages 115-133, January.
  3. Biung-Ghi Ju & Juan Moreno-Ternero, 2011. "Progressive and merging-proof taxation," International Journal of Game Theory, Springer, vol. 40(1), pages 43-62, February.
  4. MORENO-TERNERO, Juan D. & ROEMER, John E., . "Impartiality, priority, and solidarity in the theory of justice," CORE Discussion Papers RP -1896, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. Marc Fleurbaey & John E. Roemer, 2010. "Judicial Precedent as a Dynamic Rationale for Axiomatic Bargaining Theory," IDEP Working Papers 1002, Institut d'economie publique (IDEP), Marseille, France, revised 07 May 2010.
  6. Juan Moreno-Ternero & Antonio Villar, 2006. "New characterizations of a classical bankruptcy rule," Review of Economic Design, Springer, vol. 10(2), pages 73-84, August.
  7. MORENO-TERNERO, Juan D., 2006. "The proportional rule for multi-issue bankruptcy problems," CORE Discussion Papers 2006076, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Youngsub Chun, 1999. "Equivalence of axioms for bankruptcy problems," International Journal of Game Theory, Springer, vol. 28(4), pages 511-520.
  9. Pulido, M. & Borm, P.E.M. & Hendrickx, R.L.P. & Llorca, N. & Sánchez-Soriano, J., 2008. "Compromise solutions for bankruptcy situations with references," Open Access publications from Tilburg University urn:nbn:nl:ui:12-194180, Tilburg University.
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  11. Jens Leth Hougaard & Juan D. Moreno-Ternero & Lars Peter Østerdal, 2011. "A unifying framework for the problem of adjudicating conflicting claims," MSAP Working Paper Series 01_2011, University of Copenhagen, Department of Food and Resource Economics.
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  13. Hokari, Toru & Thomson, William, 2008. "On properties of division rules lifted by bilateral consistency," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1057-1071, December.
  14. Moreno-Ternero, Juan D. & Villar, Antonio, 2004. "The Talmud rule and the securement of agents' awards," Mathematical Social Sciences, Elsevier, vol. 47(2), pages 245-257, March.
  15. Youngsub Chun, 1999. "Equivalence of Axioms for Bankruptcy Problems," Working Paper Series no1, Institute of Economic Research, Seoul National University.
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  23. Hervé Moulin, 2000. "Priority Rules and Other Asymmetric Rationing Methods," Econometrica, Econometric Society, vol. 68(3), pages 643-684, May.
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Cited by:
  1. Jens Leth Hougaard & Juan D. Moreno-Ternero & Lars Peter Østerdal, 2011. "A unifying framework for the problem of adjudicating conflicting claims," MSAP Working Paper Series 01_2011, University of Copenhagen, Department of Food and Resource Economics.
  2. Hougaard, Jens Leth & Moreno-Ternero, Juan D. & Østerdal, Lars Peter, 2012. "Rationing with baselines: The composition extension operator," Discussion Papers of Business and Economics 23/2012, Department of Business and Economics, University of Southern Denmark.
  3. Pere Timoner & Josep Maria Izquierdo, 2014. "Rationing problems with payoff thresholds," UB Economics Working Papers 2014/311, Universitat de Barcelona, Facultat d'Economia i Empresa, UB Economics.
  4. Miguel Hinojosa & Amparo Mármol, 2014. "Multi-commodity rationing problems with maxmin payoffs," Mathematical Methods of Operations Research, Springer, vol. 79(3), pages 353-370, June.

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