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A voluntary participation game through a unit-by-unit cost share mechanism of a non-excludable public good

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  • Yukihiro Nishimura

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  • Ryusuke Shinohara

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Abstract

The strategic analysis of voluntary participation in the public good provision has shown two distinct results. First, when the provision of public goods is binary, there are Nash equilibria supporting efficient allocations, and these are Strong Nash equilibria of the game. On the other hand, a model of a continuous public good (Saijo–Yamato, J Econ Theory 84:227–242, 1999 ) showed that the participation of all agents is not an equilibrium in many situations. This article considers the provision of a discrete and multi-unit public good, and examines a unit-by-unit participation game. Namely, people are asked to participate in each unit of public good provision, and those who chose to participate share the marginal cost of public good. In this game of public good provision, there are subgame-perfect equilibria that are Pareto efficient. We also use the refinement concepts to eliminate inefficient subgame-perfect equilibria and also to characterize the efficient subgame-perfect equilibria. Copyright Springer-Verlag 2013

Suggested Citation

  • Yukihiro Nishimura & Ryusuke Shinohara, 2013. "A voluntary participation game through a unit-by-unit cost share mechanism of a non-excludable public good," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(3), pages 793-814, March.
    • Handle: RePEc:spr:sochwe:v:40:y:2013:i:3:p:793-814
    DOI: 10.1007/s00355-011-0644-0
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    References listed on IDEAS

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    1. Groves, Theodore & Ledyard, John O, 1977. "Optimal Allocation of Public Goods: A Solution to the "Free Rider" Problem," Econometrica, Econometric Society, vol. 45(4), pages 783-809, May.
    2. Palfrey, Thomas R. & Rosenthal, Howard, 1984. "Participation and the provision of discrete public goods: a strategic analysis," Journal of Public Economics, Elsevier, vol. 24(2), pages 171-193, July.
    3. Walker, Mark, 1981. "A Simple Incentive Compatible Scheme for Attaining Lindahl Allocations," Econometrica, Econometric Society, vol. 49(1), pages 65-71, January.
    4. Timothy Cason & Tatsuyoshi Saijo & Takehiko Yamato, 2002. "Voluntary Participation and Spite in Public Good Provision Experiments: An International Comparison," Experimental Economics, Springer;Economic Science Association, vol. 5(2), pages 133-153, October.
    5. Furusawa, Taiji & Konishi, Hideo, 2011. "Contributing or free-riding? Voluntary participation in a public good economy," Theoretical Economics, Econometric Society, vol. 6(2), May.
    6. Ryusuke Shinohara, 2009. "The possibility of efficient provision of a public good in voluntary participation games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(3), pages 367-387, March.
    7. Cavaliere, Alberto, 2001. " Coordination and the Provision of Discrete Public Goods by Correlated Equilibria," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 3(3), pages 235-255.
    8. Dixit, Avinash & Olson, Mancur, 2000. "Does voluntary participation undermine the Coase Theorem?," Journal of Public Economics, Elsevier, vol. 76(3), pages 309-335, June.
    9. Cason, Timothy N. & Saijo, Tatsuyoshi & Yamato, Takehiko & Yokotani, Konomu, 2004. "Non-excludable public good experiments," Games and Economic Behavior, Elsevier, vol. 49(1), pages 81-102, October.
    10. Saijo, Tatsuyoshi & Yamato, Takehiko, 1999. "A Voluntary Participation Game with a Non-excludable Public Good," Journal of Economic Theory, Elsevier, vol. 84(2), pages 227-242, February.
    11. Paul Healy, 2010. "Equilibrium participation in public goods allocations," Review of Economic Design, Springer;Society for Economic Design, vol. 14(1), pages 27-50, March.
    12. Tatsuyoshi Saijo & Takehiko Yamato, 2010. "Fundamental impossibility theorems on voluntary participation in the provision of non-excludable public goods," Review of Economic Design, Springer;Society for Economic Design, vol. 14(1), pages 51-73, March.
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    Cited by:

    1. Ryusuke Shinohara, 2014. "Participation and demand levels for a joint project," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(4), pages 925-952, December.

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