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Weakly fair allocations and strategy-proofness

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  • Tommy Andersson
  • Lars-Gunnar Svensson

Abstract

This paper investigates the problem of allocating two types of indivisible objects among a group of agents when a priority-order must be respected and when only restricted monetary transfers are allowed. Since the existence of a fair allocation not generally is guaranteed due the the restrictions on the money transfers, the concept of fairness is weakened, and a new concept of fairness is introduced. This concept is called weak fairness. We define an allocation rule that implements weakly fair allocations and demonstrate that it is coalitionally strategy-proof. In fact, it is the only coalitionally strategy-proof allocation rule that implements a weakly fair allocation.
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Suggested Citation

  • Tommy Andersson & Lars-Gunnar Svensson, 2008. "Weakly fair allocations and strategy-proofness," Review of Economic Design, Springer;Society for Economic Design, vol. 11(4), pages 321-338, February.
    • Handle: RePEc:spr:reecde:v:11:y:2008:i:4:p:321-338
    DOI: 10.1007/s10058-007-0038-z
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    2. Lars-Gunnar Svensson, 2009. "Coalitional strategy-proofness and fairness," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(2), pages 227-245, August.
    3. Svensson, Lars-Gunnar, 2004. "Strategy-Proof and Fair Wages," Working Papers 2004:8, Lund University, Department of Economics.
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    Cited by:

    1. Paula Jaramillo & Çaǧatay Kayı & Flip Klijn, 2014. "Asymmetrically fair rules for an indivisible good problem with a budget constraint," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(3), pages 603-633, October.
    2. Andersson, T. & Svensson, L.-G. & Yang, Z., 2010. "Constrainedly fair job assignments under minimum wages," Games and Economic Behavior, Elsevier, vol. 68(2), pages 428-442, March.

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    More about this item

    Keywords

    Indivisibles; Fairness; Weak fairness; Strategy-proofness; C71; C78; D63; D71; D78;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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