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On cost sharing in the provision of a binary and excludable public good

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  • Massó, Jordi
  • Nicolò, Antonio
  • Sen, Arunava
  • Sharma, Tridib
  • Ülkü, Levent

Abstract

We study efficiency and fairness properties of the equal cost sharing with maximal participation (ECSMP) mechanism in the provision of a binary and excludable public good. According to the maximal welfare loss criterion, the ECSMP is optimal within the class of strategyproof, individually rational and no-deficit mechanisms only when there are two agents. In general the ECSMP mechanism is not optimal: we provide a class of mechanisms obtained by symmetric perturbations of ECSMP with strictly lower maximal welfare loss. We show that if one of two possible fairness conditions is additionally imposed, the ECSMP mechanism becomes optimal.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:jetheo:v:155:y:2015:i:c:p:30-49
    DOI: 10.1016/j.jet.2014.11.003
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    References listed on IDEAS

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    Cited by:

    1. Kazuhiko Hashimoto & Hiroki Saitoh, 2016. "Strategy-proof rules for an excludable public good," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(4), pages 749-766, April.
    2. Shichijo, Tatsuhiro & Fukuda, Emiko, 2021. "Cost-sharing mechanism for excludable goods with generalized non-rivalry," Journal of Economic Theory, Elsevier, vol. 193(C).
    3. Yan Long, 2020. "Optimal budget-balanced ranking mechanisms to assign identical objects," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(2), pages 467-502, September.
    4. Kuzmics, Christoph & Steg, Jan-Henrik, 2017. "On public good provision mechanisms with dominant strategies and balanced budget," Journal of Economic Theory, Elsevier, vol. 170(C), pages 56-69.
    5. Long, Yan & Mishra, Debasis & Sharma, Tridib, 2017. "Balanced ranking mechanisms," Games and Economic Behavior, Elsevier, vol. 105(C), pages 9-39.
    6. Nath, Swaprava & Sandholm, Tuomas, 2019. "Efficiency and budget balance in general quasi-linear domains," Games and Economic Behavior, Elsevier, vol. 113(C), pages 673-693.
    7. Mackenzie, Andrew & Trudeau, Christian, 2023. "On Groves mechanisms for costly inclusion," Theoretical Economics, Econometric Society, vol. 18(3), July.
    8. Alfredo Valencia-Toledo & Juan Vidal-Puga, 2020. "Reassignment-proof rules for land rental problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(1), pages 173-193, March.
    9. Valencia-Toledo, Alfredo & Vidal-Puga, Juan, 2015. "Non-manipulable rules for land rental problems," MPRA Paper 67334, University Library of Munich, Germany.
    10. Kazuhiko Hashimoto & Kohei Shiozawa, 2018. "Strategy-Proofness and Efficiency of Probabilistic Mechanisms for Excludable Public Good," Working Papers e118, Tokyo Center for Economic Research.
    11. Harless, Patrick, 2017. "Wary of the worst: Maximizing award guarantees when new claimants may arrive," Games and Economic Behavior, Elsevier, vol. 105(C), pages 316-328.
    12. 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.

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    More about this item

    Keywords

    Binary public good; Excludability; Equal cost sharing; Maximal welfare loss;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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