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Steady-state stock and group size: An approach of dynamic voluntary provisions of public goods

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  • Huang, Yuankan
  • Inohara, Takehiro

Abstract

This note analyzes the effect from group sizes (i.e., the number of consumers) on steady-state stocks in the model of dynamic voluntary provisions of public goods. The model follows Itaya and Shimomura [4]. We focus on feedback Nash equilibrium strategies and find that (1) it is possible to clarify the condition such that the steady-state stock decreases as the group size is larger when consumers take linear feedback Nash equilibrium strategies and (2) when consumers take nonlinear ones, the set of possible steady-state stocks is enlarged as the group size is bigger.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:270:y:2015:i:c:p:505-510
    DOI: 10.1016/j.amc.2015.08.053
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    References listed on IDEAS

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    1. Keke Huang & Tao Wang & Yuan Cheng & Xiaoping Zheng, 2015. "Effect of Heterogeneous Investments on the Evolution of Cooperation in Spatial Public Goods Game," PLOS ONE, Public Library of Science, vol. 10(3), pages 1-10, March.
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    4. Ihori, Toshihiro & Itaya, Jun-ichi, 2001. "A dynamic model of fiscal reconstruction," European Journal of Political Economy, Elsevier, vol. 17(4), pages 779-797, November.
    5. Pecorino, Paul, 1999. "The effect of group size on public good provision in a repeated game setting," Journal of Public Economics, Elsevier, vol. 72(1), pages 121-134, April.
    6. 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.
    7. Akihiko Yanase, 2006. "Dynamic Voluntary Provision of Public Goods and Optimal Steady‐State Subsidies," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 8(1), pages 171-179, January.
    8. Paul Pecorino & Akram Temimi, 2007. "Public good provision in a repeated game: The role of small fixed costs of participation," Public Choice, Springer, vol. 130(3), pages 337-346, March.
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