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Existence, uniqueness, and comparative statics of Nash equilibrium in a game of voluntary public good provision with two public goods

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  • Kenichi Suzuki
  • Tatsuyoshi Miyakoshi
  • Jun‐ichi Itaya
  • Akitomo Yamanashi

Abstract

This paper shows the uniqueness of a Nash equilibrium in the presence of many heterogeneous players with two public goods under Cobb–Douglas preferences. It provides a sufficient condition for a unique equilibrium including contributors providing both public goods, and shows that contributors providing both public goods appear frequently. This uniqueness property allows us to conduct a comparative statics analysis with a contributor and a free rider of both public goods, showing the role of the contributor providing both public goods.

Suggested Citation

  • Kenichi Suzuki & Tatsuyoshi Miyakoshi & Jun‐ichi Itaya & Akitomo Yamanashi, 2022. "Existence, uniqueness, and comparative statics of Nash equilibrium in a game of voluntary public good provision with two public goods," Metroeconomica, Wiley Blackwell, vol. 73(2), pages 567-582, May.
    • Handle: RePEc:bla:metroe:v:73:y:2022:i:2:p:567-582
    DOI: 10.1111/meca.12375
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    References listed on IDEAS

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