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Axiomatization of ratio equilibria in public good economies

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  • van den Nouweland, A.
  • Tijs, S.
  • Wooders, M. H.

Abstract

Using consistency properties, we characterize the cost-sharing scheme arising from the ratio equilibrium concept for economies with public goods. The characterization turns out to be surprisingly simple and direct. In contrast to most axiomatic characterizations based on reduced games and consistency properties, our characterization requires that in the reduced game, the players take as given the proportions of the costs paid by the members of the complementary player set, rather than their utility levels

Suggested Citation

  • van den Nouweland, A. & Tijs, S. & Wooders, M. H., 2001. "Axiomatization of ratio equilibria in public good economies," Economic Research Papers 269356, University of Warwick - Department of Economics.
    • Handle: RePEc:ags:uwarer:269356
    DOI: 10.22004/ag.econ.269356
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    References listed on IDEAS

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    1. van den Nouweland, A. & Peleg, B. & Tijs, S., 1996. "Axiomatic characterizations of the Walras correspondence for generalized economies," Journal of Mathematical Economics, Elsevier, vol. 25(3), pages 355-372.
    2. Peleg, Bezalel & Tijs, Stef, 1996. "The Consistency Principle for Games in Strategic Forms," International Journal of Game Theory, Springer;Game Theory Society, vol. 25(1), pages 13-34.
    3. Mas-Colell, Andreu & Silvestre, Joaquim, 1989. "Cost share equilibria: A Lindahlian approach," Journal of Economic Theory, Elsevier, vol. 47(2), pages 239-256, April.
    4. Peleg, B, 1986. "On the Reduced Game Property and Its Converse," International Journal of Game Theory, Springer;Game Theory Society, vol. 15(3), pages 187-200.
    5. Kaneko, Mamoru, 1977. "The ratio equilibrium and a voting game in a public goods economy," Journal of Economic Theory, Elsevier, vol. 16(2), pages 123-136, December.
    6. 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.
    7. Peleg, B, 1987. "On the Reduced Game Property and Its Converse: A Correction," International Journal of Game Theory, Springer;Game Theory Society, vol. 16(4), pages 290-290.
    8. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
    9. Thomson, William, 1988. "A study of choice correspondences in economies with a variable number of agents," Journal of Economic Theory, Elsevier, vol. 46(2), pages 237-254, December.
    10. Thomson, A., 1989. "The Consistency Principle," RCER Working Papers 192, University of Rochester - Center for Economic Research (RCER).
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    Citations

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    Cited by:

    1. Kesternich, Martin & Lange, Andreas & Sturm, Bodo, 2014. "The impact of burden sharing rules on the voluntary provision of public goods," Journal of Economic Behavior & Organization, Elsevier, vol. 105(C), pages 107-123.
    2. 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.
    3. 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.
    4. Wolfgang Buchholz & Wolfgang Peters, 2007. "Justifying the Lindahl solution as an outcome of fair cooperation," Public Choice, Springer, vol. 133(1), pages 157-169, October.
    5. Anne van den Nouweland & Myrna H. Wooders, 2005. "Status Equilibrium in Local Public Good Economies," University of Oregon Economics Department Working Papers 2005-14, University of Oregon Economics Department, revised 01 May 2008.
    6. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506, Elsevier.
    7. Currarini, Sergio, 2002. "Voting on public goods in multi-jurisdictional systems," Research in Economics, Elsevier, vol. 56(2), pages 215-230, June.
    8. 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.
    9. Anne van den Nouweland & Myrna H. Wooders, 2005. "Status Equilibrium for Local Public Good Economies," Vanderbilt University Department of Economics Working Papers 0523, Vanderbilt University Department of Economics.
    10. Matt Van Essen, 2013. "Regulating the Anticommons: Insights from Public‐Expenditure Theory," Southern Economic Journal, John Wiley & Sons, vol. 80(2), pages 523-539, October.

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    More about this item

    Keywords

    Agricultural and Food Policy; Public Economics;

    JEL classification:

    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
    • H40 - Public Economics - - Publicly Provided Goods - - - General

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