IDEAS home Printed from https://ideas.repec.org/p/ces/ceswps/_1802.html
   My bibliography  Save this paper

Existence, Uniqueness and Some Comparative Statics for Ratio- and Lindahl Equilibria: New Wine in Old Bottles

Author

Listed:
  • Wolfgang Buchholz
  • Richard Cornes
  • Wolfgang Peters

Abstract

We present a rigorous, yet elementary, demonstration of the existence of a unique Lindahl equilibrium under the assumptions that characterize the standard n-player public good model. Indeed, our approach, which exploits the aggregative structure of the public good model, lends itself to a transparent geometric representation. Moreover, it can handle the more general concept of the cost-share or ratio equilibrium. Finally, we indicate how it may be ex-ploited to facilitate comparative static analysis of Lindahl and cost share equilibria.

Suggested Citation

  • Wolfgang Buchholz & Richard Cornes & Wolfgang Peters, 2006. "Existence, Uniqueness and Some Comparative Statics for Ratio- and Lindahl Equilibria: New Wine in Old Bottles," CESifo Working Paper Series 1802, CESifo.
    • Handle: RePEc:ces:ceswps:_1802
    as

    Download full text from publisher

    File URL: https://www.cesifo.org/DocDL/cesifo1_wp1802.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Hindriks, Jean & Myles, Gareth D., 2013. "Intermediate Public Economics," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262018691, December.
    2. 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.
    3. Sertel, Murat R. & Yildiz, Muhamet, 1998. "The Lindahl solution with changing population and resources1," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 151-163, March.
    4. Danziger, Leif, 1976. "A graphic representation of the Nash and Lindahl equilibria in an economy with a public good," Journal of Public Economics, Elsevier, vol. 6(3), pages 295-307, October.
    5. 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.
    6. Mas-Colell, Andreu & Silvestre, Joaquim, 1989. "Cost share equilibria: A Lindahlian approach," Journal of Economic Theory, Elsevier, vol. 47(2), pages 239-256, April.
    7. Sertel, Murat R., 1994. "Manipulating Lindahl equilibrium via endowments," Economics Letters, Elsevier, vol. 46(2), pages 167-171, October.
    8. Myles,Gareth D., 1995. "Public Economics," Cambridge Books, Cambridge University Press, number 9780521497695, November.
    9. Joaquim Silvestre, 2003. "Wicksell, Lindahl and the Theory of Public Goods," Scandinavian Journal of Economics, Wiley Blackwell, vol. 105(4), pages 527-553, December.
    10. Howard R. Bowen, 1943. "The Interpretation of Voting in the Allocation of Economic Resources," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 58(1), pages 27-48.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Adrian Amelung, 2016. "Das "Paris-Agreement": Durchbruch der Top-Down-Klimaschutzverhandlungen im Kreise der Vereinten Nationen," Otto-Wolff-Institut Discussion Paper Series 03/2016, Otto-Wolff-Institut für Wirtschaftsordnung, Köln, Deutschland.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Wolfgang Buchholz & Richard Cornes & Wolfgang Peters, 2008. "Existence, uniqueness and some comparative statics for ratio and Lindahl equilibria," Journal of Economics, Springer, vol. 95(2), pages 167-177, November.
    2. Nikhil Garg & Ashish Goel & Benjamin Plaut, 2021. "Markets for public decision-making," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(4), pages 755-801, May.
    3. Nathan W. Chan, 2019. "Funding Global Environmental Public Goods Through Multilateral Financial Mechanisms," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 73(2), pages 515-531, June.
    4. John E. Roemer & Joaquim Silvestre, 2023. "Kant and Lindahl," Scandinavian Journal of Economics, Wiley Blackwell, vol. 125(2), pages 517-548, April.
    5. Maxime Desmarais-Tremblay, 2014. "On the Definition of Public Goods. Assessing Richard A. Musgrave's contribution," Documents de travail du Centre d'Economie de la Sorbonne 14004, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    6. 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.
    7. 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.
    8. Anne van den Nouweland & Myrna H. Wooders & S. Tijs, 2002. "Axiomatization of ratio equilibria in public good economies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(3), pages 627-636.
    9. 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.
    10. 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.
    11. Sertel, Murat R. & Sanver, M. Remzi, 1999. "Equilibrium outcomes of Lindahl-endowment pretension games1," European Journal of Political Economy, Elsevier, vol. 15(2), pages 149-162, June.
    12. Nouweland, Anne van den & Wooders, Myrna, 2005. "Status Equilibrium in Local Public Good Economies," The Warwick Economics Research Paper Series (TWERPS) 733, University of Warwick, Department of Economics.
    13. Dijkstra, Bouwe R. & Nentjes, Andries, 2020. "Pareto-Efficient Solutions for Shared Public Good Provision: Nash Bargaining versus Exchange-Matching-Lindahl," Resource and Energy Economics, Elsevier, vol. 61(C).
    14. Luis Corchon & Simon Wilkie, 1996. "Double implementation of the ratio correspondence by a market mechanism," Review of Economic Design, Springer;Society for Economic Design, vol. 2(1), pages 325-337, December.
    15. Tian, Guoqiang, 2000. "Double implementation of linear cost share equilibrium allocations," Mathematical Social Sciences, Elsevier, vol. 40(2), pages 175-189, September.
    16. 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.
    17. Weifeng Liu, 2014. "Participation constraints of matching mechanisms," CAMA Working Papers 2014-63, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    18. Edna Tusak Loehman & Richard Kiser & Stephen J. Rassenti, 2014. "Cost Share Adjustment Processes for Cooperative Group Decisions About Shared Goods: A Design Approach," Group Decision and Negotiation, Springer, vol. 23(5), pages 1085-1126, September.
    19. George Zanjani, 2010. "An Economic Approach to Capital Allocation," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 77(3), pages 523-549, September.
    20. Hines Jr., James R., 2000. "What is benefit taxation?," Journal of Public Economics, Elsevier, vol. 75(3), pages 483-492, March.

    More about this item

    Keywords

    public goods; Lindahl equilibrium; ratio equilibrium;
    All these keywords.

    JEL classification:

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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ces:ceswps:_1802. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Klaus Wohlrabe (email available below). General contact details of provider: https://edirc.repec.org/data/cesifde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.