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Almost budget-balanced VCG mechanisms to assign multiple objects

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  • Moulin, Hervé

Abstract

Subsidy-free VCG mechanisms assign p identical objects to n agents. The efficiency loss is the largest ratio of budget surplus to efficient surplus, over all profiles of non-negative valuations. The smallest efficiency loss satisfies . If is bounded away from , converges to zero exponentially in n. Participation is voluntary in the optimal mechanism achieving if p=1, but not if p[greater-or-equal, slanted]2. Among voluntary mechanisms, the optimal efficiency loss is not significantly larger than if . But it does not converge to zero in n if .

Suggested Citation

  • Moulin, Hervé, 2009. "Almost budget-balanced VCG mechanisms to assign multiple objects," Journal of Economic Theory, Elsevier, vol. 144(1), pages 96-119, January.
  • Handle: RePEc:eee:jetheo:v:144:y:2009:i:1:p:96-119
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    References listed on IDEAS

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    3. Naroditskiy, Victor & Steinberg, Richard, 2015. "Maximizing social welfare in congestion games via redistribution," Games and Economic Behavior, Elsevier, vol. 93(C), pages 24-41.
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    5. de Clippel, Geoffroy & Pérez-Castrillo, David & Wettstein, David, 2012. "Egalitarian equivalence under asymmetric information," Games and Economic Behavior, Elsevier, vol. 75(1), pages 413-423.
    6. Rahul Deb & Debasis Mishra, 2014. "Implementation With Contingent Contracts," Econometrica, Econometric Society, vol. 82, pages 2371-2393, November.
    7. Michel Le Breton & Juan Moreno-Ternero & Alexei Savvateev & Shlomo Weber, 2013. "Stability and fairness in models with a multiple membership," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(3), pages 673-694, August.
    8. Naroditskiy, Victor & Steinberg, Richard, 2015. "Maximizing social welfare in congestion games via redistribution," LSE Research Online Documents on Economics 62771, London School of Economics and Political Science, LSE Library.
    9. de Clippel, Geoffroy & Naroditskiy, Victor & Polukarov, Maria & Greenwald, Amy & Jennings, Nicholas R., 2014. "Destroy to save," Games and Economic Behavior, Elsevier, vol. 86(C), pages 392-404.
      • Geoffroy de Clippel & Louis Putterman & Victor Naroditskiy & Maria Polukarov & Amy Greenwald & Nicholas R. Jennings, 2012. "Destroy to Save," Working Papers 2012-9, Brown University, Department of Economics.
    10. Nasri, Mostafa & Bastin, Fabian & Marcotte, Patrice, 2015. "Quantifying the social welfare loss in moral hazard models," European Journal of Operational Research, Elsevier, vol. 245(1), pages 226-235.
    11. Gershkov, Alex & Moldovanu, Benny, 2010. "Efficient sequential assignment with incomplete information," Games and Economic Behavior, Elsevier, vol. 68(1), pages 144-154, January.
    12. Balmaceda, Felipe & Balseiro, Santiago R. & Correa, José R. & Stier-Moses, Nicolás E., 2016. "Bounds on the welfare loss from moral hazard with limited liability," Games and Economic Behavior, Elsevier, vol. 95(C), pages 137-155.
    13. Athanasiou Efthymios & Dey Santanu & Valletta Giacomo, 2012. "On Sharing the Benefits of Communication," Research Memorandum 016, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    14. 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.
    15. Athanasiou, Efthymios, 2013. "A Solomonic solution to the problem of assigning a private indivisible good," Games and Economic Behavior, Elsevier, vol. 82(C), pages 369-387.
    16. repec:eee:gamebe:v:105:y:2017:i:c:p:9-39 is not listed on IDEAS
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    18. Yi, Jianxin & Li, Yong, 2016. "A general impossibility theorem and its application to individual rights," Mathematical Social Sciences, Elsevier, vol. 81(C), pages 79-86.
    19. Geoffroy de Clippel, 2010. "Copmment on Egalitarianism under Incomplete Information," Working Papers 2010-4, Brown University, Department of Economics.
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    21. You, Jung S., 2015. "Optimal VCG mechanisms to assign multiple bads," Games and Economic Behavior, Elsevier, vol. 92(C), pages 166-190.
    22. Kazuhiko Hashimoto, 2015. "Strategy-Proof Rule in Probabilistic Allocation Problem of an Indivisible Good and Money," ISER Discussion Paper 0931, Institute of Social and Economic Research, Osaka University.

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