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Strategy-proof, efficient, and nonbossy quota allocations

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Abstract

We consider the problem of designing a mechanism to allocate objects to agents when each agent has a quota that must be filled exactly. Agents are assumed to have responsive preferences over items. We show that the only strategy-proof, Pareto optimal, and nonbossy mechanisms are sequential dictatorships. We also show that the only strategy-proof, Pareto optimal, nonbossy, and neutral mechanisms are serial dictatorships. Since these negative results hold for responsive preferences, they hold for more general preferences as well.

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References

  • Ehlers L, Klaus B (2003) Coalitional strategy-proof and resource monotonic solutions for multiple assignment problems. Soc Choice Welfare 21: 265–280

    Article  Google Scholar 

  • Gibbard A (1973) Manipulation of voting schemes: a general result. Econometrica 41: 587–601

    Article  Google Scholar 

  • Jackson MO (2003) Mechanism theory. In: Ulrich D (ed) Optimization and operations research, in Encyclopedia of Life Support Systems. EOLSS Publishers, Oxford, http://eolss.net

  • Papai S (2001) Strategy-proof and nonbossy multiple assignments. J Public Econ Theory 3: 257–271

    Article  Google Scholar 

  • Satterthwaite MA (1975) Strategy proofness and arrow’s conditions: existence and correspondence theorems for voting procedures and social welfare functions. J Econ Theory 10: 187–216

    Article  Google Scholar 

  • Satterthwaite MA, Sonnenschein H (1981) Strategy-proof at differentiable points. Rev Econ Stud 48: 587–597

    Article  Google Scholar 

  • Shapley L, Scarf H (1974) On cores and indivisibility. J Math Econ 1: 23–37

    Article  Google Scholar 

  • Sönmez T, Ünver MU (2005) House allocation with existing tenants: an equivalence. Games Econ Behav 52: 153–185

    Article  Google Scholar 

  • Sönmez T, Ünver MU (2007) Course bidding at business schools. Int Econ Rev (forthcoming)

  • Svensson L-G (2003) Strategy-proof allocation of indivisible goods. Soc Choice Welf 16: 557–567

    Article  Google Scholar 

Download references

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Correspondence to John William Hatfield.

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We are grateful to Atila Abdulkadiroğlu, Syed Nageeb Mustafa Ali, Douglas Bernheim, Navin Kartik, Jon Levin, Paul Milgrom, and Azeem Shaikh and two anonymous referees and an editor for helpful discussions. This research has been supported by the Burt and Deedee McMurtry Stanford Graduate Fellowship.

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Hatfield, J.W. Strategy-proof, efficient, and nonbossy quota allocations. Soc Choice Welf 33, 505–515 (2009). https://doi.org/10.1007/s00355-009-0376-6

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  • DOI: https://doi.org/10.1007/s00355-009-0376-6

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