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Strategy-Proofness and Efficiency of Probabilistic Mechanisms for Excludable Public Good

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  • Kazuhiko Hashimoto
  • Kohei Shiozawa

Abstract

We study strategy-proof probabilistic mechanisms in a binary excludable public good model. We construct a new class of probabilistic mechanisms satisfying strategy-proofness, called mechanisms. We first show that the mechanisms are second-best efficient. Next, we identify the optimal mechanism with respect to the supremal welfare loss, and show that it improves the inefficiency of the equal cost sharing with maximal participation mechanism [Moulin (1994)] and the anonymous augmented serial mechanisms [Ohseto (2005)].

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  • Kazuhiko Hashimoto & Kohei Shiozawa, 2018. "Strategy-Proofness and Efficiency of Probabilistic Mechanisms for Excludable Public Good," Working Papers e118, Tokyo Center for Economic Research.
    • Handle: RePEc:tcr:wpaper:e118
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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. 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.
    3. 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.
    4. 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.
    5. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    6. 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.
    7. 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.
    8. Shinji Ohseto, 2010. "Serial Mechanisms For The Provision Of An Excludable Public Good," The Japanese Economic Review, Japanese Economic Association, vol. 61(4), pages 507-516, December.
    9. Holmstrom, Bengt, 1979. "Groves' Scheme on Restricted Domains," Econometrica, Econometric Society, vol. 47(5), pages 1137-1144, September.
    10. 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.
    11. Deb, Rajat & Razzolini, Laura, 1999. "Voluntary cost sharing for an excludable public project," Mathematical Social Sciences, Elsevier, vol. 37(2), pages 123-138, March.
    12. 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.
    13. HervÊ Moulin, 1999. "Incremental cost sharing: Characterization by coalition strategy-proofness," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(2), pages 279-320.
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