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Rationing in the presence of baselines

  • Jens Hougaard

    ()

  • Juan Moreno-Ternero
  • Lars Østerdal

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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File URL: http://hdl.handle.net/10.1007/s00355-012-0664-4
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Article provided by The Society for Social Choice and Welfare 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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Order Information: Web: http://www.springer.com/economics/economic+theory/journal/355

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  1. Pulido, M. & Borm, P.E.M. & Hendrickx, R.L.P. & Llorca, N. & Sánchez-Soriano, J., 2003. "Compromise Solutions for Bankruptcy Situations with References," Discussion Paper 2003-36, Tilburg University, Center for Economic Research.
  2. Hougaard, Jens Leth & Moreno-Ternero, Juan D. & Østerdal, Lars Peter, 2012. "A unifying framework for the problem of adjudicating conflicting claims," Journal of Mathematical Economics, Elsevier, vol. 48(2), pages 107-114.
  3. Juan D. Moreno-Ternero, 2009. "The proportional rule for multi-issue bankruptcy problems," Economics Bulletin, AccessEcon, vol. 29(1), pages 474-481.
  4. Biung-Ghi Ju & Juan D. Moreno-Ternero, 2009. "Progressive and merging-proof taxation," Working Papers 09.12, Universidad Pablo de Olavide, Department of Economics.
  5. Marc Fleurbaey & John Roemer, 2010. "Judicial Precedent as a Dynamic Rationale for Axiomatic Bargaining Theory," NajEcon Working Paper Reviews 814577000000000442, www.najecon.org.
  6. Juan Moreno-Ternero & Antonio Villar, 2006. "New characterizations of a classical bankruptcy rule," Review of Economic Design, Society for Economic Design, vol. 10(2), pages 73-84, August.
  7. Ju, Biung-Ghi & Miyagawa, Eiichi & Sakai, Toyotaka, 2007. "Non-manipulable division rules in claim problems and generalizations," Journal of Economic Theory, Elsevier, vol. 132(1), pages 1-26, January.
  8. 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.
  9. Nir Dagan, 1996. "New characterizations of old bankruptcy rules," Social Choice and Welfare, The Society for Social Choice and Welfare, vol. 13(1), pages 51-59, January.
  10. 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).
  11. Diego Dominguez & William Thomson, 2004. "A New Solution to the Problem of Adjudicating Conflicting Claims," RCER Working Papers 511, University of Rochester - Center for Economic Research (RCER).
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  13. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.
  14. 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).
  15. Thomson, William, 1994. "Cooperative models of bargaining," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 35, pages 1237-1284 Elsevier.
  16. William Thomson & Chun-Hsien Yeh, 2006. "Operators for the adjudication of conflicting claims," RCER Working Papers 531, University of Rochester - Center for Economic Research (RCER).
  17. Kaminski, Marek M., 2006. "Parametric rationing methods," Games and Economic Behavior, Elsevier, vol. 54(1), pages 115-133, January.
  18. 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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  22. Youngsub Chun, 1999. "Equivalence of axioms for bankruptcy problems," International Journal of Game Theory, Game Theory Society, vol. 28(4), pages 511-520.
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