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Dynamic Voluntary Provision of Public Goods: A Generalization

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  • KENJI FUJIWARA
  • NORIMICHI MATSUEDA

Abstract

In this note we examine if the proposition offered by Fershtman and Nitzan (1991) and Wirl (1996) in the context of a dynamic voluntary provision model with a linear production function can be generalized to a more general CES formulation. By comparing the steady‐state stocks of a public good in open‐loop and feedback Nash equilibria with that under the cooperative solution, we demonstrate that their ranking among the steady‐state stocks is indeed preserved under the CES framework.

Suggested Citation

  • Kenji Fujiwara & Norimichi Matsueda, 2009. "Dynamic Voluntary Provision of Public Goods: A Generalization," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 11(1), pages 27-36, February.
  • Handle: RePEc:bla:jpbect:v:11:y:2009:i:1:p:27-36
    DOI: 10.1111/j.1467-9779.2008.01395.x
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    1. Tsutsui, Shunichi & Mino, Kazuo, 1990. "Nonlinear strategies in dynamic duopolistic competition with sticky prices," Journal of Economic Theory, Elsevier, vol. 52(1), pages 136-161, October.
    2. Dockner Engelbert J. & Van Long Ngo, 1993. "International Pollution Control: Cooperative versus Noncooperative Strategies," Journal of Environmental Economics and Management, Elsevier, vol. 25(1), pages 13-29, July.
    3. Rowat, Colin, 2007. "Non-linear strategies in a linear quadratic differential game," Journal of Economic Dynamics and Control, Elsevier, vol. 31(10), pages 3179-3202, October.
    4. Itaya, Jun-ichi & Shimomura, Koji, 2001. "A dynamic conjectural variations model in the private provision of public goods: a differential game approach," Journal of Public Economics, Elsevier, vol. 81(1), pages 153-172, July.
    5. Jack Hirshleifer, 1983. "From weakest-link to best-shot: The voluntary provision of public goods," Public Choice, Springer, vol. 41(3), pages 371-386, January.
    6. Cornes,Richard & Sandler,Todd, 1996. "The Theory of Externalities, Public Goods, and Club Goods," Cambridge Books, Cambridge University Press, number 9780521477185, September.
    7. Cornes, Richard & Hartley, Roger, 2007. "Weak links, good shots and other public good games: Building on BBV," Journal of Public Economics, Elsevier, vol. 91(9), pages 1684-1707, September.
    8. Richard Cornes, 1993. "Dyke Maintenance and Other Stories: Some Neglected Types of Public Goods," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(1), pages 259-271.
    9. Fershtman, Chaim & Nitzan, Shmuel, 1991. "Dynamic voluntary provision of public goods," European Economic Review, Elsevier, vol. 35(5), pages 1057-1067, July.
    10. Wirl, Franz, 1996. "Dynamic voluntary provision of public goods: Extension to nonlinear strategies," European Journal of Political Economy, Elsevier, vol. 12(3), pages 555-560, November.
    11. Shimomura, Koji, 1991. "The feedback equilibria of a differential game of capitalism," Journal of Economic Dynamics and Control, Elsevier, vol. 15(2), pages 317-338, April.
    12. Wirl, Franz, 2007. "Do multiple Nash equilibria in Markov strategies mitigate the tragedy of the commons?," Journal of Economic Dynamics and Control, Elsevier, vol. 31(11), pages 3723-3740, November.
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    2. Colombo, Luca & Labrecciosa, Paola & Van Long, Ngo, 2022. "A dynamic analysis of international environmental agreements under partial cooperation," European Economic Review, Elsevier, vol. 143(C).
    3. Huang, Yuankan & Inohara, Takehiro, 2015. "Steady-state stock and group size: An approach of dynamic voluntary provisions of public goods," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 505-510.
    4. Javier Frutos & Guiomar Martín-Herrán, 2018. "Selection of a Markov Perfect Nash Equilibrium in a Class of Differential Games," Dynamic Games and Applications, Springer, vol. 8(3), pages 620-636, September.
    5. Marco Battaglini & Salvatore Nunnari & Thomas Palfrey, 2011. "The Free Rider Problem: a Dynamic Analysis," Working Papers 1354, Princeton University, Department of Economics, Econometric Research Program..

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