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Strategy-Proof and Nonbossy Allocation of Indivisible Goods and Money

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Author Info

  • Svensson, Lars-Gunnar

    ()
    (Department of Economics, Lund University)

  • Larsson, Bo

    ()
    (Department of Economics, Lund University)

Abstract

Which strategy-proof nonbossy mechanisms exist in a model with a finite number of indivisible goods (houses, jobs, positions) and a compensating perfectly divisible good (money)? The main finding is that only a finite number of distributions of the divisible good is consistent with strategy-proofness and nonbossiness. Under various additional assumptions - neutrality, individual rationality, object efficiency, weak decentralization - the distribution of the divisible good is further restricted. For instance, under neutrality the outcome of the mechanism can have only one distribution, which is hence independent of individual preferences. In this case the mechanism becomes serially dictatorial. On the other hand, individual rationality leads to a fixed-price equilibrium with a well defined rationing method (Gale's top trading cycle procedure).

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Bibliographic Info

Paper provided by Lund University, Department of Economics in its series Working Papers with number 2000:11.

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Length: 23 pages
Date of creation: 18 Sep 2000
Date of revision:
Publication status: Published in Economic Theory , 2002, pages 483-502.
Handle: RePEc:hhs:lunewp:2000_011

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Postal: Department of Economics, School of Economics and Management, Lund University, Box 7082, S-220 07 Lund,Sweden
Phone: +46 +46 222 0000
Fax: +46 +46 2224613
Web page: http://www.nek.lu.se/en
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Keywords: Strategy-proofness; housing market; indivisible objects;

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Cited by:
  1. Shuhei Morimoto & Shigehiro Serizawa, 2012. "Strategy-proofness and Efficiency with Nonquasi-linear Preferences: A Characterization of Minimum Price Walrasian Rule," ISER Discussion Paper 0852, Institute of Social and Economic Research, Osaka University.
  2. 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.
  3. Andersson, Tommy & Svensson, Lars-Gunnar, 2007. "Weakly Fair Allocations and Strategy-Proofness," Working Papers 2007:3, Lund University, Department of Economics, revised 03 Jul 2007.
  4. Hideki Mizukami & Takuma Wakayama, 2005. "Relationships between Non-Bossiness and Nash Implementability," Discussion Papers in Economics and Business 05-33, Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP).
  5. 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.
  6. Svensson , Lars-Gunnar, 2002. "Strategy-proofness and Fixed-price Allocation of Indivisible Goods - a Characterization Proof," Working Papers 2002:17, Lund University, Department of Economics.
  7. Yuji Fujinaka & Toyotaka Sakai, 2009. "The positive consequence of strategic manipulation in indivisible good allocation," International Journal of Game Theory, Springer, vol. 38(3), pages 325-348, November.
  8. Shuhei Morimoto & Shigehiro Serizawa & Stephen Ching, 2009. "A Characterization of the Uniform Rule with Several Commodities and Agents," ISER Discussion Paper 0769, Institute of Social and Economic Research, Osaka University.
  9. Lars Ehlers & Bettina Klaus, 2007. "Consistent House Allocation," Economic Theory, Springer, vol. 30(3), pages 561-574, March.
  10. Svensson, Lars-Gunnar, 2004. "Strategy-Proof and Fair Wages," Working Papers 2004:8, Lund University, Department of Economics.
  11. Ruben Juarez, 2012. "Group Strategyproof Cost Sharing: The Role of Indifferences," Working Papers 201202, University of Hawaii at Manoa, Department of Economics.
  12. Yuji Fujinaka & Takuma Wakayama, 2011. "Secure implementation in Shapley–Scarf housing markets," Economic Theory, Springer, vol. 48(1), pages 147-169, September.
  13. Ohseto, Shinji, 2005. "Strategy-proof assignment with fair compensation," Mathematical Social Sciences, Elsevier, vol. 50(2), pages 215-226, September.
  14. Sakai, Toyotaka, 2007. "Fairness and implementability in allocation of indivisible objects with monetary compensations," Journal of Mathematical Economics, Elsevier, vol. 43(5), pages 549-563, June.
  15. Juarez, Ruben, 2013. "Group strategyproof cost sharing: The role of indifferences," Games and Economic Behavior, Elsevier, vol. 82(C), pages 218-239.
  16. Fujinaka, Yuji & Sakai, Toyotaka, 2007. "Maskin monotonicity in economies with indivisible goods and money," Economics Letters, Elsevier, vol. 94(2), pages 253-258, February.
  17. Shinji Ohseto, 2006. "Characterizations of strategy-proof and fair mechanisms for allocating indivisible goods," Economic Theory, Springer, vol. 29(1), pages 111-121, September.

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