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Coalitional strategy-proofness and fairness

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  • Lars-Gunnar Svensson

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Abstract

This paper considers a fair division problem with indivisible objects, like jobs, houses, positions, etc., and one divisible good (money). The individuals consume money and one object each. The class of fair allocation rules that are strategy-proof in the strong sense that no coalition of individuals can improve the allocation for all of its members, by misrepresenting their preferences, is characterized. It turns out that given a regularity condition, the outcome of a fair and coalition strategy-proof allocation rule must maximize the use of money subject to upper quantity bounds determined by the allocation rule. Due to these restrictions the outcomes of the allocation rule are Pareto efficient only for some preference profiles. In a multi-object auction interpretation of the model, the result is a complete characterization of coalition strategy-proof auction rules.
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Suggested Citation

  • 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.
  • Handle: RePEc:spr:joecth:v:40:y:2009:i:2:p:227-245
    DOI: 10.1007/s00199-008-0366-4
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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. 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.
    3. 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.
    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. Ryan Tierney, 2016. "The problem of multiple commons: A market design approach," ISER Discussion Paper 0986, Institute of Social and Economic Research, Osaka University.
    6. Vito Fragnelli & Maria Erminia Marina, 2009. "Strategic Manipulations and Collusions in Knaster Procedure," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 3(2), pages 143-153, July.
    7. 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.
    8. Andersson, Tommy & Ehlers, Lars & Svensson, Lars-Gunnar, 2016. "Transferring ownership of public housing to existing tenants: A market design approach," Journal of Economic Theory, Elsevier, vol. 165(C), pages 643-671.
    9. ANDERSSON, Tommy & EHLERS, Lars, 2013. "An algorithm for identifying agent-k-linked allocations in economies with indivisibilities," Cahiers de recherche 2013-12, Universite de Montreal, Departement de sciences economiques.
    10. Serizawa, Shigehiro & Morimoto, Shuhei, 2015. "Strategy-proofness and efficiency with non-quasi-linear preferences: a characterization of minimum price Walrasian rule," Theoretical Economics, Econometric Society, vol. 10(2), May.
    11. 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.
    12. Valencia-Toledo, Alfredo & Vidal-Puga, Juan, 2015. "Non-manipulable rules for land rental problems," MPRA Paper 67334, University Library of Munich, Germany.
    13. 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.
    14. 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.
    15. Nanyang Bu, 2016. "Joint misrepresentation with bribes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(1), pages 115-125, January.
    16. Federica Briata & Marco Dall’Aglio & Vito Fragnelli, 2012. "Dynamic Collusion and Collusion Games in Knaster’s Procedure," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 6(3), pages 199-208, October.
    17. Mustafa Afacan, 2013. "The welfare effects of pre-arrangements in matching markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(1), pages 139-151, May.

    More about this item

    Keywords

    Indivisibilities; Fairness; Coalitional strategy-proofness; Wages; Multi-object auction; C60; C68; C71; C78; D61; D63; D71; D78;

    JEL classification:

    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models
    • 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
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • 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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