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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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    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. Ohseto, Shinji, 2000. "Characterizations of Strategy-Proof Mechanisms for Excludable versus Nonexcludable Public Projects," Games and Economic Behavior, Elsevier, vol. 32(1), pages 51-66, July.
    4. Sprumont, Yves, 2013. "Constrained-optimal strategy-proof assignment: Beyond the Groves mechanisms," Journal of Economic Theory, Elsevier, vol. 148(3), pages 1102-1121.
    5. Thomson, William, 1983. "Problems of fair division and the Egalitarian solution," Journal of Economic Theory, Elsevier, vol. 31(2), pages 211-226, December.
    6. 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.
    7. William Thomson, 1983. "The Fair Division of a Fixed Supply Among a Growing Population," Mathematics of Operations Research, INFORMS, vol. 8(3), pages 319-326, August.
    8. Shinji Ohseto, 2005. "Augmented serial rules for an excludable public good," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(3), pages 589-606, October.
    9. Deb, Rajat & Razzolini, Laura, 1999. "Voluntary cost sharing for an excludable public project," Mathematical Social Sciences, Elsevier, vol. 37(2), pages 123-138, March.
    10. Olszewski, Wojciech, 2004. "Coalition strategy-proof mechanisms for provision of excludable public goods," Games and Economic Behavior, Elsevier, vol. 46(1), pages 88-114, January.
    11. Yan Yu, 2007. "Serial cost sharing of an excludable public good available in multiple units," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(3), pages 539-555, October.
    12. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    13. Mutuswami, Suresh, 2005. "Strategyproofness, Non-Bossiness and Group Strategyproofness in a cost sharing model," Economics Letters, Elsevier, vol. 89(1), pages 83-88, October.
    14. Ruben Juarez, 2008. "The worst absolute surplus loss in the problem of commons: random priority versus average cost," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(1), pages 69-84, January.
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    Cited by:

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    3. 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.
    4. 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.
    5. Valencia-Toledo, Alfredo & Vidal-Puga, Juan, 2015. "Non-manipulable rules for land rental problems," MPRA Paper 67334, University Library of Munich, Germany.
    6. Kazuhiko Hashimoto & Kohei Shiozawa, 2018. "Strategy-Proofness and Efficiency of Probabilistic Mechanisms for Excludable Public Good," Working Papers e118, Tokyo Center for Economic Research.
    7. 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.
    8. Long, Yan & Mishra, Debasis & Sharma, Tridib, 2017. "Balanced ranking mechanisms," Games and Economic Behavior, Elsevier, vol. 105(C), pages 9-39.
    9. Shichijo, Tatsuhiro & Fukuda, Emiko, 2021. "Cost-sharing mechanism for excludable goods with generalized non-rivalry," Journal of Economic Theory, Elsevier, vol. 193(C).
    10. Mackenzie, Andrew & Trudeau, Christian, 2023. "On Groves mechanisms for costly inclusion," Theoretical Economics, Econometric Society, vol. 18(3), July.
    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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