IDEAS home Printed from https://ideas.repec.org/p/wpa/wuwppe/9403001.html
   My bibliography  Save this paper

The Pure Theory of Public Goods: Efficiency, Decentralization, and the Core

Author

Listed:
  • Dimitrios Diamantaras

    (Temple University, Philadelphia PA)

  • Robert P. Gilles

    (Virginia Polytechnic Institute and State University, Blacksburg, VA)

Abstract

We extend the results of Mas-Colell (1980) and Weber and Wiesmeth (1991) on valuation equilibria and the relationship of cost share equilibria with the core. We allow for any finite number of private goods and a set of public projects without any structure. We show the two welfare theorems for valuation equilibrium, the inclusion of the set of cost share equilibria in the core, and the nonequivalence of these two sets for an economy with a finite number of agents. In the case that the set of public projects is endowed with a topological structure, we provide conditions under which the price system needed to decentralize a Pareto efficient allocation as a valuation equilibrium is continuous.

Suggested Citation

  • Dimitrios Diamantaras & Robert P. Gilles, 1994. "The Pure Theory of Public Goods: Efficiency, Decentralization, and the Core," Public Economics 9403001, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwppe:9403001
    Note: 16 pages, LaTeX file, special macros included
    as

    Download full text from publisher

    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/pe/papers/9403/9403001.tex
    Download Restriction: no
    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/pe/papers/9403/9403001.pdf
    Download Restriction: no
    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/pe/papers/9403/9403001.ps.gz
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Roberts, Donald John, 1974. "A note on returns to group size and the core with public goods," Journal of Economic Theory, Elsevier, vol. 9(3), pages 350-356, November.
    2. Weber, Shlomo & Wiesmeth, Hans, 1991. "The equivalence of core and cost share equilibria in an economy with a public good," Journal of Economic Theory, Elsevier, vol. 54(1), pages 180-197, June.
    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. Wooders, Myrna Holtz, 1989. "A Tiebout theorem," Mathematical Social Sciences, Elsevier, vol. 18(1), pages 33-55, August.
    5. Vasilev, V. & Weber, S. & Wiesmeth, H., 1991. "The Equivalence of Core and Lindahl Equilibria in an Economy with Semi- Public Goods," Papers 91-13, York (Canada) - Department of Economics.
    6. Andreu Mas-Colell, 1980. "Efficiency and Decentralization in the Pure Theory of Public Goods," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 94(4), pages 625-641.
    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. 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.
    2. Monique Florenzano, 2009. "Walras-Lindahl-Wicksell: What equilibrium concept for public goods provision ? I - The convex case," Post-Print halshs-00367867, HAL.
    3. Achille Basile & Robert P. Gilles & Maria Gabriella Graziano & Marialaura Pesce, 2021. "The Core of economies with collective goods and a social division of labour," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(3), pages 1085-1119, April.
    4. Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1998. "Equilibrium in a Finite Local Public Goods Economy," Journal of Economic Theory, Elsevier, vol. 79(2), pages 224-244, April.
    5. Peter J. Hammond & Antonio Villar, 1998. "Efficiency with Non‐Convexities: Extending the “Scandinavian Consensus” Approaches," Scandinavian Journal of Economics, Wiley Blackwell, vol. 100(1), pages 11-32, March.
    6. Diamantaras, D. & Gilles, R.P. & Ruys, P.H.M., 1994. "Efficiency and separability in economies with a trade center," Discussion Paper 1994-107, Tilburg University, Center for Economic Research.
    7. Gilles, Robert P. & Pesce, Marialaura & Diamantaras, Dimitrios, 2020. "The provision of collective goods through a social division of labour," Journal of Economic Behavior & Organization, Elsevier, vol. 178(C), pages 287-312.
    8. Ten Raa, T. & Gilles, R.P., 2000. "Club Efficiency and Lindahl Equilibrium with Semi-Public Goods," Discussion Paper 2000-08, Tilburg University, Center for Economic Research.
    9. Ellickson, Bryan & Grodal, Birgit & Scotchmer, Suzanne & Zame, William R., 2001. "Clubs and the Market: Large Finite Economies," Journal of Economic Theory, Elsevier, vol. 101(1), pages 40-77, November.
    10. Bryan Ellickson and Birgit Grodal, Suzanne Scotchmer, and William R. Zame., 1997. "Clubs and the Market: Continuum Economies," Economics Working Papers 97-254, University of California at Berkeley.
    11. Berliant, Marcus & Konishi, Hideo, 2000. "The endogenous formation of a city: population agglomeration and marketplaces in a location-specific production economy," Regional Science and Urban Economics, Elsevier, vol. 30(3), pages 289-324, May.
    12. Monique Florenzano, 2009. "Walras-Lindahl-Wicksell: What equilibrium concept for public goods provision," Working Papers halshs-00531434, HAL.
    13. Arze del Granado, F. Javier & Martinez-Vazquez, Jorge & McNab, Robert M., 2012. "Decentralized Governance and Preferences for Public Goods," MPRA Paper 42459, University Library of Munich, Germany.
    14. Diamantaras, D. & Gilles, R.P. & Ruys, P.H.M., 1994. "Efficiency and separability in economies with a trade center," Other publications TiSEM 255ce364-1aae-4b61-84fc-7, Tilburg University, School of Economics and Management.
    15. van der Laan, G. & Ruys, P.H.M. & Talman, A.J.J., 2000. "Optimal Provision of Infrastructure Using Public-Private Partnership Contracts," Other publications TiSEM 608311e8-a7e7-4810-a3d5-3, Tilburg University, School of Economics and Management.
    16. Hahn, Kyungdong & Gilles, Robert P., 1998. "Efficient egalitarian-equivalence and the core of an economy with public projects," Economics Letters, Elsevier, vol. 60(2), pages 173-178, August.
    17. Achille Basile & Anna Simone & Maria Graziano, 2005. "Coalitional economies with public projects," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 25(1), pages 127-139, October.
    18. Maria Gabriella Graziano & Maria Romaniello, 2016. "Stable sets of allocations and the provision of public goods," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(1), pages 15-42, June.
    19. Niccolò Urbinati & Marco Li Calzi, 2022. "Market allocations under conflation of goods," Working Papers 2022:05, Department of Economics, University of Venice "Ca' Foscari", revised 2024.
    20. Antonio Villar Notario & Peter Hammond, 1998. "- Valuation Equlibrium Revisited," Working Papers. Serie AD 1998-24, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    21. Fedotenkov, Igor & Idrisov, Georgy, 2021. "A supply-demand model of public sector size," Economic Systems, Elsevier, vol. 45(2).
    22. Maria Graziano & Maria Romaniello, 2012. "Linear cost share equilibria and the veto power of the grand coalition," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(2), pages 269-303, February.
    23. Fedotenkov, Igor & Idrisov, Georgy, 2019. "A supply-demand model of the size of public sector and Wagner's law," MPRA Paper 94973, University Library of Munich, Germany.
    24. ten Raa, Thijs & Gilles, Robert P., 2005. "Lindahl equilibrium and Schweizer's open club model with semipublic goods," Mathematical Social Sciences, Elsevier, vol. 49(3), pages 295-307, May.
    25. Maria Gabriella Graziano & Marialaura Pesce & Maria Romaniello, 2021. "Two characterizations of Cost Share Equilibria," CSEF Working Papers 628, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy, revised 24 May 2023.

    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. 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.
    2. Maria Graziano & Maria Romaniello, 2012. "Linear cost share equilibria and the veto power of the grand coalition," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(2), pages 269-303, February.
    3. Monique Florenzano, 2009. "Walras-Lindahl-Wicksell: What equilibrium concept for public goods provision," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00531434, HAL.
    4. 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.
    5. Wolfgang Buchholz & Wolfgang Peters, 2001. "The overprovision anomaly of private public good supply," Journal of Economics, Springer, vol. 74(1), pages 63-78, February.
    6. Joaquin Silvestre, 1994. "Economic analysis of public ownership," Investigaciones Economicas, Fundación SEPI, vol. 18(1), pages 19-66, January.
    7. Ellickson, Bryan & Grodal, Birgit & Scotchmer, Suzanne & Zame, William R., 2001. "Clubs and the Market: Large Finite Economies," Journal of Economic Theory, Elsevier, vol. 101(1), pages 40-77, November.
    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.
    9. Wooders, Myrna, 2008. "Market games and clubs," MPRA Paper 33968, University Library of Munich, Germany, revised Dec 2010.
    10. Gilles, Robert P. & Scotchmer, Suzanne, 1997. "Decentralization in Replicated Club Economies with Multiple Private Goods," Journal of Economic Theory, Elsevier, vol. 72(2), pages 363-387, February.
    11. Marakulin, V.M., 2013. "On the Edgeworth conjecture for production economies with public goods: A contract-based approach," Journal of Mathematical Economics, Elsevier, vol. 49(3), pages 189-200.
    12. Achille Basile & Robert P. Gilles & Maria Gabriella Graziano & Marialaura Pesce, 2021. "The Core of economies with collective goods and a social division of labour," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(3), pages 1085-1119, April.
    13. 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.
    14. Edna T. Loehman, 2009. "Voluntary Cost-Sharing for Environmental Risk Reduction: A Pollution Abatement Case Study," Group Decision and Negotiation, Springer, vol. 18(4), pages 349-368, July.
    15. Monique Florenzano, 2009. "Walras-Lindahl-Wicksell: What equilibrium concept for public goods provision ? I - The convex case," Post-Print halshs-00367867, HAL.
    16. Conley, John P. & Wooders, Myrna H., 2001. "Tiebout Economies with Differential Genetic Types and Endogenously Chosen Crowding Characteristics," Journal of Economic Theory, Elsevier, vol. 98(2), pages 261-294, June.
    17. Gersbach, Hans & Haller, Hans, 2010. "Club theory and household formation," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 715-724, September.
    18. Conley, John P. & Wooders, Myrna H., 1997. "Equivalence of the Core and Competitive Equilibrium in a Tiebout Economy with Crowding Types," Journal of Urban Economics, Elsevier, vol. 41(3), pages 421-440, May.
    19. 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.
    20. Antonio Villar Notario & Peter Hammond, 1998. "- Valuation Equlibrium Revisited," Working Papers. Serie AD 1998-24, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).

    More about this item

    JEL classification:

    • D6 - Microeconomics - - Welfare Economics
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • H - Public Economics

    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:wpa:wuwppe:9403001. 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: EconWPA (email available below). General contact details of provider: https://econwpa.ub.uni-muenchen.de .

    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.