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Matching in the Kolm Triangle: Interiority and Participation Constraints of Matching Equilibria

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  • Buchholz, Wolfgang
  • Cornes, Richard
  • Rübbelke, Dirk

Abstract

In this paper we show how the Kolm triangle method, which is a standard tool for visualizing allocations in a public good economy, can also be used to provide a diagrammatical exposition of matching mechanisms and their effects on public good supply and welfare. In particular, we describe, on the one hand, for which income distributions interior matching equilibria result and, on the other hand, for which income distributions the agents voluntarily participate in a matching mechanism. As a novel result, we especially show that the “participation zone” is larger than the “interiority zone”.

Suggested Citation

  • Buchholz, Wolfgang & Cornes, Richard & Rübbelke, Dirk, 2019. "Matching in the Kolm Triangle: Interiority and Participation Constraints of Matching Equilibria," ETA: Economic Theory and Applications 291521, Fondazione Eni Enrico Mattei (FEEM).
    • Handle: RePEc:ags:feemth:291521
    DOI: 10.22004/ag.econ.291521
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    1. Boadway, Robin & Song, Zhen & Tremblay, Jean-Francois, 2007. "Commitment and matching contributions to public goods," Journal of Public Economics, Elsevier, vol. 91(9), pages 1664-1683, September.
    2. Julio Dávila & Jan Eeckhout & César Martinelli, 2009. "Bargaining over Public Goods," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 11(6), pages 927-945, December.
    3. Dirk T. G. Rübbelke, 2006. "Analysis of an international environmental matching agreement," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 8(1), pages 1-31, December.
    4. Kirchsteiger, Georg & Puppe, Clemens, 1997. "On the possibility of efficient private provision of public goods through government subsidies," Journal of Public Economics, Elsevier, vol. 66(3), pages 489-504, December.
    5. Matt Van Essen, 2015. "Bartering Games in the Kolm Triangle," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 17(3), pages 297-310, June.
    6. Andreoni, James & Bergstrom, Ted, 1996. "Do Government Subsidies Increase the Private Supply of Public Goods?," Public Choice, Springer, vol. 88(3-4), pages 295-308, September.
    7. Guttman, Joel M, 1978. "Understanding Collective Action: Matching Behavior," American Economic Review, American Economic Association, vol. 68(2), pages 251-255, May.
    8. Buchholz, Wolfgang & Cornes, Richard & Rübbelke, Dirk, 2011. "Interior matching equilibria in a public good economy: An aggregative game approach," Journal of Public Economics, Elsevier, vol. 95(7-8), pages 639-645, August.
    9. Danziger, Leif & Schnytzer, Adi, 1991. "Implementing the Lindahl voluntary-exchange mechanism," European Journal of Political Economy, Elsevier, vol. 7(1), pages 55-64, April.
    10. Boadway, Robin & Song, Zhen & Tremblay, Jean-François, 2011. "The efficiency of voluntary pollution abatement when countries can commit," European Journal of Political Economy, Elsevier, vol. 27(2), pages 352-368, June.
    11. Eduardo Ley, 1996. "On the private provision of public goods: a diagrammatic exposition," Investigaciones Economicas, Fundación SEPI, vol. 20(1), pages 105-123, January.
    12. Chander, Parkash, 1993. "Dynamic Procedures and Incentives in Public Good Economies," Econometrica, Econometric Society, vol. 61(6), pages 1341-1354, November.
    13. Shibata, Hirofumi, 1971. "A Bargaining Model of the Pure Theory of Public Expenditure," Journal of Political Economy, University of Chicago Press, vol. 79(1), pages 1-29, Jan.-Feb..
    14. Cornes,Richard & Sandler,Todd, 1996. "The Theory of Externalities, Public Goods, and Club Goods," Cambridge Books, Cambridge University Press, number 9780521477185.
    15. Josef Falkinger & Johann K. Brunner, 1999. "Taxation in an economy with private provision of public goods," Review of Economic Design, Springer;Society for Economic Design, vol. 4(4), pages 357-379.
    16. Paul Healy, 2010. "Equilibrium participation in public goods allocations," Review of Economic Design, Springer;Society for Economic Design, vol. 14(1), pages 27-50, March.
    17. Boadway, Robin & Pestieau, Pierre & Wildasin, David, 1989. "Tax-transfer policies and the voluntary provision of public goods," Journal of Public Economics, Elsevier, vol. 39(2), pages 157-176, July.
    18. Falkinger, Josef, 1996. "Efficient private provision of public goods by rewarding deviations from average," Journal of Public Economics, Elsevier, vol. 62(3), pages 413-422, November.
    19. Althammer, Wilhelm & Buchholz, Wolfgang, 1993. "Lindahl-equilibria as the outcome of a non-cooperative game : A reconsideration," European Journal of Political Economy, Elsevier, vol. 9(3), pages 399-405, August.
    20. Thomson, William, 1999. "Economies with Public Goods: An Elementary Geometric Exposition," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 1(1), pages 139-176.
    21. Richard Cornes & Roger Hartley, 2007. "Aggregative Public Good Games," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(2), pages 201-219, April.
    22. Lipnowski, Irwin & Maital, Shlomo, 1983. "Voluntary provision of a pure public good as the game of `chicken'," Journal of Public Economics, Elsevier, vol. 20(3), pages 381-386, April.
    23. Tatsuyoshi Saijo & Takehiko Yamato, 2010. "Fundamental impossibility theorems on voluntary participation in the provision of non-excludable public goods," Review of Economic Design, Springer;Society for Economic Design, vol. 14(1), pages 51-73, March.
    24. Bergstrom, Ted, 1989. "Love and Spaghetti, the Opportunity Cost of Virtue," Journal of Economic Perspectives, American Economic Association, vol. 3(2), pages 165-173, Spring.
    25. William Thomson, 1999. "Economies with Public Goods: An Elementary Geometric Exposition," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 1(1), pages 139-176, January.
    26. Schlesinger, Harris, 1989. "On the Analytics of Pure Public Good Provision," Public Finance = Finances publiques, , vol. 44(1), pages 102-109.
    27. Marc Fleurbaey & Maurice Salles & John A. Weymark (ed.), 2011. "Social Ethics and Normative Economics," Studies in Choice and Welfare, Springer, number 978-3-642-17807-8, July.
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    More about this item

    Keywords

    Research Methods/ Statistical Methods;

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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