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Non-manipulable assignment of individuals to positions revisited

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  • Andersson, Tommy
  • Svensson, Lars-Gunnar

Abstract

This paper investigates an allocation rule that fairly assigns at most one indivisible object and a monetary compensation to each agent, under the restriction that the monetary compensations do not exceed some exogenously given upper bound. A few properties of this allocation rule are stated and the main result demonstrates that the allocation rule is coalitionally strategy-proof.

Suggested Citation

  • Andersson, Tommy & Svensson, Lars-Gunnar, 2008. "Non-manipulable assignment of individuals to positions revisited," Mathematical Social Sciences, Elsevier, vol. 56(3), pages 350-354, November.
  • Handle: RePEc:eee:matsoc:v:56:y:2008:i:3:p:350-354
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    References listed on IDEAS

    as
    1. Ning Sun & Zaifu Yang, 2003. "A General Strategy Proof Fair Allocation Mechanism," Center for Mathematical Economics Working Papers 346, Center for Mathematical Economics, Bielefeld University.
    2. Demange, Gabrielle & Gale, David & Sotomayor, Marilda, 1986. "Multi-Item Auctions," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 863-872, August.
    3. Tadenuma, Koichi & Thomson, William, 1991. "No-Envy and Consistency in Economies with Indivisible Goods," Econometrica, Econometric Society, vol. 59(6), pages 1755-1767, November.
    4. Demange, Gabrielle & Gale, David, 1985. "The Strategy Structure of Two-sided Matching Markets," Econometrica, Econometric Society, vol. 53(4), pages 873-888, July.
    5. Sun, Ning & Yang, Zaifu, 2003. "A general strategy proof fair allocation mechanism," Economics Letters, Elsevier, vol. 81(1), pages 73-79, October.
    6. Svensson, Lars-Gunnar, 1983. "Large Indivisibles: An Analysis with Respect to Price Equilibrium and Fairness," Econometrica, Econometric Society, vol. 51(4), pages 939-954, July.
    7. Alkan, Ahmet & Demange, Gabrielle & Gale, David, 1991. "Fair Allocation of Indivisible Goods and Criteria of Justice," Econometrica, Econometric Society, vol. 59(4), pages 1023-1039, July.
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    Citations

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    Cited by:

    1. Ehlers, Lars & Svensson, Lars-Gunnar & Andersson, Tommy, 2014. "Budget-balance, fairness and minimal manipulability," Theoretical Economics, Econometric Society, vol. 9(3), September.
    2. 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.
    3. Andersson, Tommy & Andersson, Christer & Talman, Adolphus Johannes Jan, 2010. "Sets in Excess Demand in Ascending Auctions with Unit-Demand Bidders," Working Papers 2010:15, Lund University, Department of Economics, revised 28 Jun 2012.
    4. Andersson, Tommy & Ehlers, Lars & Svensson, Lars-Gunnar, 2014. "Least manipulable Envy-free rules in economies with indivisibilities," Mathematical Social Sciences, Elsevier, vol. 69(C), pages 43-49.
    5. repec:spr:jogath:v:46:y:2017:i:4:d:10.1007_s00182-017-0573-y is not listed on IDEAS
    6. Tommy Andersson & Christer Andersson, 2009. "Solving House Allocation Problems with Risk-Averse Agents," Computational Economics, Springer;Society for Computational Economics, vol. 33(4), pages 389-401, May.
    7. Tommy Andersson & Christer Andersson, 2012. "Properties of the DGS-Auction Algorithm," Computational Economics, Springer;Society for Computational Economics, vol. 39(2), pages 113-133, February.
    8. Andersson, Tommy & Gudmundsson, Jens & Talman, Dolf & Yang, Zaifu, 2014. "A competitive partnership formation process," Games and Economic Behavior, Elsevier, vol. 86(C), pages 165-177.
    9. ANDERSSON, Tommy & EHLERS, Lars & SVENSSON, Lars-Gunnar, 2012. "(Minimally) 'epsilon'-Incentive Compatible Competitive Equilibria in Economies with Indivisibilities," Cahiers de recherche 2012-03, Universite de Montreal, Departement de sciences economiques.
    10. Tommy Andersson & Lars‐Gunnar Svensson, 2014. "Non‐Manipulable House Allocation With Rent Control," Econometrica, Econometric Society, vol. 82(2), pages 507-539, March.
    11. 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.
    12. Tommy Andersson & Lars Ehlers & Lars-Gunnar Svensson, 2012. "(Minimally) ?-Incentive Compatible Competitive Equilibria in Economies with Indivisibilities," Cahiers de recherche 04-2012, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    13. Tommy Andersson, 2009. "A general strategy-proof fair allocation mechanism revisited," Economics Bulletin, AccessEcon, vol. 29(3), pages 1717-1722.

    More about this item

    Keywords

    Indivisibles Fairness Coalitionally strategy-proofness;

    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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