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

Kenichi Suzuki, Tatsuyoshi Miyakoshi, Jun ichi Itaya, Akitomo Yamanashi

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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.

Original languageEnglish
Pages (from-to)567-582
Number of pages16
JournalMetroeconomica
Volume73
Issue number2
DOIs
Publication statusPublished - 2022 May

Keywords

  • Nash equilibrium
  • aggregate games
  • free riders
  • two public goods
  • voluntary provision

ASJC Scopus subject areas

  • Economics and Econometrics

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