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Is Shapley cost sharing optimal?

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  • Dobzinski, Shahar
  • Mehta, Aranyak
  • Roughgarden, Tim
  • Sundararajan, Mukund

Abstract

A general approach to the design of budget-balanced cost-sharing mechanisms is to use the Shapley value, applied to the given cost function, to define payments from the players to the mechanism. Is the corresponding Shapley value mechanism “optimal” in some sense? We consider the objective of minimizing worst-case inefficiency subject to a revenue constraint, and prove results in three different regimes. First, for the public excludable good problem, the Shapley value mechanism minimizes the worst-case efficiency loss over all truthful, deterministic, and budget-balanced mechanisms that satisfy equal treatment. Second, even with randomization and approximate budget-balance allowed and dropping equal treatment, the worst-case efficiency loss of the Shapley value mechanism is within a constant factor of the minimum possible. Third, for no-deficit mechanisms, we prove a general positive result: for every monotone cost function, a suitable blend of the VCG and Shapley value mechanisms is no-deficit and enjoys good approximate efficiency guarantees.

Suggested Citation

  • Dobzinski, Shahar & Mehta, Aranyak & Roughgarden, Tim & Sundararajan, Mukund, 2018. "Is Shapley cost sharing optimal?," Games and Economic Behavior, Elsevier, vol. 108(C), pages 130-138.
    • Handle: RePEc:eee:gamebe:v:108:y:2018:i:c:p:130-138
    DOI: 10.1016/j.geb.2017.03.008
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    References listed on IDEAS

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    1. Hervé Moulin & Scott Shenker, 2001. "Strategyproof sharing of submodular costs:budget balance versus efficiency," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 18(3), pages 511-533.
    2. Hervé Moulin, 2008. "The price of anarchy of serial, average and incremental cost sharing," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 36(3), pages 379-405, September.
    3. Juarez, Ruben, 2013. "Group strategyproof cost sharing: The role of indifferences," Games and Economic Behavior, Elsevier, vol. 82(C), pages 218-239.
    4. Mehta, Aranyak & Roughgarden, Tim & Sundararajan, Mukund, 2009. "Beyond Moulin mechanisms," Games and Economic Behavior, Elsevier, vol. 67(1), pages 125-155, September.
    5. Deb, Rajat & Razzolini, Laura, 1999. "Auction-Like Mechanisms for Pricing Excludable Public Goods," Journal of Economic Theory, Elsevier, vol. 88(2), pages 340-368, October.
    6. Green, Jerry & Kohlberg, Elon & Laffont, Jean-Jacques, 1976. "Partial equilibrium approach to the free-rider problem," Journal of Public Economics, Elsevier, vol. 6(4), pages 375-394, November.
    7. Jordi Massó & Antonio Nicoloó & Tridib Sharma & Levent Ülkü, 2013. "On Equal Cost Sharing in the Provision of an Excludable Public Good," Working Papers 1306, Centro de Investigacion Economica, ITAM.
    8. Deb, Rajat & Razzolini, Laura, 1999. "Voluntary cost sharing for an excludable public project," Mathematical Social Sciences, Elsevier, vol. 37(2), pages 123-138, March.
    9. Massó, Jordi & Nicolò, Antonio & Sen, Arunava & Sharma, Tridib & Ülkü, Levent, 2015. "On cost sharing in the provision of a binary and excludable public good," Journal of Economic Theory, Elsevier, vol. 155(C), pages 30-49.
    10. Hervé Moulin, 1994. "Serial Cost-Sharing of Excludable Public Goods," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(2), pages 305-325.
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    3. Shichijo, Tatsuhiro & Fukuda, Emiko, 2021. "Cost-sharing mechanism for excludable goods with generalized non-rivalry," Journal of Economic Theory, Elsevier, vol. 193(C).

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    More about this item

    Keywords

    Shapley value; Cost-sharing mechanisms; Approximate efficiency;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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