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Constrained allocation problems with single-peaked preferences: An axiomatic analysis

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  • Özgür Kıbrıs

Abstract

We introduce a new class of problems that contains two existing classes: allocation problems with single-peaked preferences and bankruptcy problems. On this class, we analyze the implications of well-known properties such as Pareto optimality, strategy-proofness, resource-monotonicity, no-envy, equal treatment of equals, and two new properties we introduce, hierarchical no-envy and independence of nonbinding constraints. Unlike earlier literature, we consider rules that allow free-disposability. We present characterizations of a rule we introduce on this domain. We relate this rule to well-known rules on the aforementioned subdomains. Based on this relation, we present a characterization of a well-known bankruptcy rule called the constrained equal awards rule. Copyright Springer-Verlag Berlin Heidelberg 2003

Suggested Citation

  • Özgür Kıbrıs, 2003. "Constrained allocation problems with single-peaked preferences: An axiomatic analysis," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 20(3), pages 353-362, June.
  • Handle: RePEc:spr:sochwe:v:20:y:2003:i:3:p:353-362
    DOI: 10.1007/s003550200183
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    File URL: http://hdl.handle.net/10.1007/s003550200183
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    Cited by:

    1. Bergantiños, Gustavo & Massó, Jordi & Neme, Alejandro, 2015. "The division problem under constraints," Games and Economic Behavior, Elsevier, vol. 89(C), pages 56-77.
    2. Özgür Kıbrıs & İpek Tapkı, 2014. "A mechanism design approach to allocating central government funds among regional development agencies," Review of Economic Design, Springer;Society for Economic Design, vol. 18(3), pages 163-189, September.
    3. Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2012. "The division problem with maximal capacity constraints," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 3(1), pages 29-57, March.
    4. Manjunath, Vikram, 2012. "When too little is as good as nothing at all: Rationing a disposable good among satiable people with acceptance thresholds," Games and Economic Behavior, Elsevier, vol. 74(2), pages 576-587.
    5. Özgür Kıbrıs, 2013. "On recursive solutions to simple allocation problems," Theory and Decision, Springer, vol. 75(3), pages 449-463, September.
    6. Anirban Kar & Özgür Kıbrıs, 2008. "Allocating multiple estates among agents with single-peaked preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(4), pages 641-666, December.
    7. Özgür Kıbrıs, 2012. "A revealed preference analysis of solutions to simple allocation problems," Theory and Decision, Springer, vol. 72(4), pages 509-523, April.
    8. Özgür Kıbrıs & Serkan Küçükşenel, 2009. "Uniform trade rules for uncleared markets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(1), pages 101-121, January.
    9. Saralees Nadarajah, 2009. "The Pareto optimality distribution," Quality & Quantity: International Journal of Methodology, Springer, vol. 43(6), pages 993-998, November.

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