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Existence of share equilibrium in symmetric local public good economies

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  • van den Nouweland, A.
  • Wooders, M.

Abstract

Share equilibrium was introduced in van den Nouweland and Wooders (2011) as an extension of Lindahl’s original equilibrium concept (Lindahl, 1919) to local public good economies. The current paper contains a comprehensive study of the possible share equilibrium outcomes of symmetric individuals, exposing the forces that shape equilibrium and explaining the circumstances under which symmetric individuals can potentially have different equilibrium share indices. We provide an existence result for symmetric economies and a characterization of symmetric economies that admit share equilibria. We also establish equivalence between share equilibrium configurations in symmetric economies and core configurations in which the players all have the same utility.

Suggested Citation

  • van den Nouweland, A. & Wooders, M., 2017. "Existence of share equilibrium in symmetric local public good economies," Mathematical Social Sciences, Elsevier, vol. 89(C), pages 50-60.
  • Handle: RePEc:eee:matsoc:v:89:y:2017:i:c:p:50-60
    DOI: 10.1016/j.mathsocsci.2017.05.008
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    References listed on IDEAS

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    1. Jackson, Matthew O. & van den Nouweland, Anne, 2005. "Strongly stable networks," Games and Economic Behavior, Elsevier, vol. 51(2), pages 420-444, May.
    2. Kalyan Chatterjee & Bhaskar Dutia & Debraj Ray & Kunal Sengupta, 2013. "A Noncooperative Theory of Coalitional Bargaining," World Scientific Book Chapters, in: Bargaining in the Shadow of the Market Selected Papers on Bilateral and Multilateral Bargaining, chapter 5, pages 97-111, World Scientific Publishing Co. Pte. Ltd..
    3. Foley, Duncan K, 1970. "Lindahl's Solution and the Core of an Economy with Public Goods," Econometrica, Econometric Society, vol. 38(1), pages 66-72, January.
    4. Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001. "Core in a simple coalition formation game," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 135-153.
    5. Kovalenkov, Alexander & Wooders, Myrna, 2003. "Approximate cores of games and economies with clubs," Journal of Economic Theory, Elsevier, vol. 110(1), pages 87-120, May.
    6. Wooders, Myrna, 1978. "Equilibria, the core, and jurisdiction structures in economies with a local public good," Journal of Economic Theory, Elsevier, vol. 18(2), pages 328-348, August.
    7. Allouch, Nizar & Wooders, Myrna, 2008. "Price taking equilibrium in economies with multiple memberships in clubs and unbounded club sizes," Journal of Economic Theory, Elsevier, vol. 140(1), pages 246-278, May.
    8. Kaneko, Mamoru, 1977. "The Ratio Equilibria and the Core of the Voting Game G(N, W) in a Public Goods Economy," Econometrica, Econometric Society, vol. 45(7), pages 1589-1594, October.
    9. Gerard Debreu, 1963. "On a Theorem of Scarf," Review of Economic Studies, Oxford University Press, vol. 30(3), pages 177-180.
    10. Wooders, Myrna Holtz, 1983. "The epsilon core of a large replica game," Journal of Mathematical Economics, Elsevier, vol. 11(3), pages 277-300, July.
    11. van den Nouweland, Anne & Wooders, Myrna, 2011. "Share equilibrium in local public good economies," Journal of Mathematical Economics, Elsevier, vol. 47(3), pages 376-381.
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    Cited by:

    1. Anne van den Nouweland & Agnieszka Rusinowska, 2020. "Bargaining foundation for ratio equilibrium in public‐good economies," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(2), pages 302-319, April.
    2. A. van den Nouweland, 2019. "Demand for public good as a correspondence of cost shares," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(1), pages 155-164, May.

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