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Strategy-proof and efficient allocation of an indivisible good on finitely restricted preference domains

Author

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  • Shinji Ohseto

    (Faculty of Economics, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan)

Abstract

We consider allocation mechanisms in economies with a single indivisible good and money. First, we show that there is no strategy-proof and Pareto efficient mechanism on some preference domains which consist of a sufficiently large but finite number of quasi-linear preferences. Second, we show that there is no strategy-proof, Pareto efficient, and equally compensatory mechanism on arbitrary preference domains which consist of more than three quasi-linear preferences.

Suggested Citation

  • Shinji Ohseto, 2000. "Strategy-proof and efficient allocation of an indivisible good on finitely restricted preference domains," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(3), pages 365-374.
    • Handle: RePEc:spr:jogath:v:29:y:2000:i:3:p:365-374
    Note: Received: July 1999/Final version: April 2000
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    Citations

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    Cited by:

    1. Yuji Fujinaka & Takuma Wakayama, 2011. "Secure implementation in Shapley–Scarf housing markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(1), pages 147-169, September.
    2. Shinji Ohseto, 2006. "Characterizations of strategy-proof and fair mechanisms for allocating indivisible goods," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 111-121, September.
    3. C. Gizem Korpeoglu, 2018. "Allocation of an indivisible object on the full preference domain: axiomatic characterizations," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(1), pages 41-53, April.
    4. Bochet, Olivier & Sakai, Toyotaka, 2007. "Strategic manipulations of multi-valued solutions in economies with indivisibilities," Mathematical Social Sciences, Elsevier, vol. 53(1), pages 53-68, January.
    5. Fujinaka, Yuji & Wakayama, Takuma, 2015. "Maximal manipulation of envy-free solutions in economies with indivisible goods and money," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 165-185.
    6. Yuji Fujinaka, 2008. "A Bayesian Incentive Compatible Mechanism for Fair Division," ISER Discussion Paper 0721, Institute of Social and Economic Research, Osaka University.
    7. Ando, Kazutoshi & Kato, Miki & Ohseto, Shinji, 2008. "Strategy-proof and symmetric allocation of an indivisible good," Mathematical Social Sciences, Elsevier, vol. 55(1), pages 14-23, January.
    8. Sasaki, Hiroo, 2003. "Limitation of Efficiency: Strategy-Proofness and Single-Peaked Preferences with Many Commodities," Working Papers 2003-01, Rice University, Department of Economics.
    9. Conan Mukherjee, 2014. "Fair and group strategy-proof good allocation with money," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(2), pages 289-311, February.
    10. Shinji Ohseto, 2021. "Strategy-proof and Pareto efficient allocation of indivisible goods: general impossibility domains," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(2), pages 419-432, June.
    11. Toyotaka Sakai, 2012. "Fair waste pricing: an axiomatic analysis to the NIMBY problem," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(2), pages 499-521, June.
    12. Miki Kato & Shinji Ohseto & Shohei Tamura, 2015. "Strategy-proofness versus symmetry in economies with an indivisible good and money," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(1), pages 195-207, February.
    13. Fujinaka, Yuji & Sakai, Toyotaka, 2007. "Maskin monotonicity in economies with indivisible goods and money," Economics Letters, Elsevier, vol. 94(2), pages 253-258, February.
    14. Toyotaka Sakai, 2008. "Second price auctions on general preference domains: two characterizations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(2), pages 347-356, November.

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