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A Core‐Equilibrium Convergence in a Public Goods Economy

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  • NIZAR ALLOUCH

Abstract

This paper shows a core‐equilibrium convergence in a public goods economy where consumers' preferences display warm glow effects. We demonstrate that if each consumer becomes satiated to other consumers' provision, then as the economy grows large the core shrinks to the set of Edgeworth allocations. Moreover, we show that an Edgeworth allocation can be decentralized as a warm glow equilibrium.

Suggested Citation

  • Nizar Allouch, 2010. "A Core‐Equilibrium Convergence in a Public Goods Economy," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 12(4), pages 857-870, August.
  • Handle: RePEc:bla:jpbect:v:12:y:2010:i:4:p:857-870
    DOI: 10.1111/j.1467-9779.2010.01477.x
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    1. Becker, Gary S, 1974. "A Theory of Social Interactions," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1063-1093, Nov.-Dec..
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    4. Wooders, Myrna Holtz, 1989. "A Tiebout theorem," Mathematical Social Sciences, Elsevier, vol. 18(1), pages 33-55, August.
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    6. Champsaur, Paul & Roberts, Donald John & Rosenthal, Robert W, 1975. "On Cores in Economies with Public Goods," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(3), pages 751-764, October.
    7. MONIQUE FLORENZANO & ELENA L. Del MERCATO, 2006. "Edgeworth and Lindahl–Foley equilibria of a General Equilibrium Model with Private Provision of Pure Public Goods," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 8(5), pages 713-740, December.
    8. Allouch, Nizar & Conley, John P. & Wooders, Myrna, 2009. "Anonymous price taking equilibrium in Tiebout economies with a continuum of agents: Existence and characterization," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 492-510, September.
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    Cited by:

    1. Nizar Allouch, 2013. "A competitive equilibrium for a warm-glow economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(1), pages 269-282, May.
    2. Funashima, Yoshito, 2022. "Efficiency and group size in the voluntary provision of public goods with threshold preference," Research in Economics, Elsevier, vol. 76(3), pages 237-251.
    3. Jiuqiang Liu & Xiaodong Liu, 2014. "Existence of Edgeworth and competitive equilibria and fuzzy cores in coalition production economies," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(4), pages 975-990, November.
    4. Wolfgang Buchholz & Alexander Haupt & Wolfgang Peters, 2016. "Equity as a Prerequisite for Stability of Cooperation on Global Public Good Provision," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 65(1), pages 61-78, September.

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    More about this item

    JEL classification:

    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D64 - Microeconomics - - Welfare Economics - - - Altruism; Philanthropy; Intergenerational Transfers

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