IDEAS home Printed from https://ideas.repec.org/a/spr/joecth/v62y2016i1d10.1007_s00199-014-0854-7.html
   My bibliography  Save this article

Stable sets of allocations and the provision of public goods

Author

Listed:
  • Maria Gabriella Graziano

    (University of Napoli Federico II, Complesso Monte S. Angelo)

  • Maria Romaniello

    (Seconda Universitá di Napoli)

Abstract

In a market model with public projects, we introduce and study von Neumann–Morgenstern stable sets. Stability concepts derive from a procedure in which the blocking coalitions are responsible for a share of the total cost of the public project. This share is determined by a contribution measure. Moreover, the analysis is extended to the case in which traders can join a coalition with a grade of membership. In this framework, under proper assumptions, we provide a correspondence between stable sets of an economy with finitely many types and stable sets of an associated finite economy and prove uniqueness of stable sets when the dominance is defined over a suitable family of coalitions.

Suggested Citation

  • 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.
  • Handle: RePEc:spr:joecth:v:62:y:2016:i:1:d:10.1007_s00199-014-0854-7
    DOI: 10.1007/s00199-014-0854-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00199-014-0854-7
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s00199-014-0854-7?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Greenberg, Joseph & Luo, Xiao & Oladi, Reza & Shitovitz, Benyamin, 2002. "(Sophisticated) Stable Sets in Exchange Economies," Games and Economic Behavior, Elsevier, vol. 39(1), pages 54-70, April.
    2. Dimitrios Diamantaras & Robert P. Gilles, 1997. "Linear cost sharing in economies with non-Samuelsonian public goods: Core equivalence," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(1), pages 121-139.
    3. 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.
    4. Anuj Bhowmik & Jiling Cao, 2013. "On the core and Walrasian expectations equilibrium in infinite dimensional commodity spaces," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(3), pages 537-560, August.
    5. Einy, Ezra & Shitovitz, Benyamin, 2003. "Symmetric von Neumann-Morgenstern stable sets in pure exchange economies," Games and Economic Behavior, Elsevier, vol. 43(1), pages 28-43, April.
    6. Diamantaras, Dimitrios & Gilles, Robert P, 1996. "The Pure Theory of Public Goods: Efficiency, Dencentralization, and the Core," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(4), pages 851-860, November.
    7. Robert P. Gilles & Suzanne Scotchmer & Dimitrios Diamantaras, 1996. "Decentralization of Pareto optima in economies with public projects, nonessential private goods and convex costs (☆)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(3), pages 555-564.
    8. Diamantaras, Dimitrios & Gilles, Robert P & Scotchmer, Suzanne, 1996. "Decentralization of Pareto Optima in Economies with Public Projects, Nonessential Private Goods and Convex Costs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(3), pages 555-564, October.
    9. João Correia-da-Silva & Carlos Hervés-Beloso, 2014. "Irrelevance of private information in two-period economies with more goods than states of nature," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(2), pages 439-455, February.
    10. De Simone, Anna & Graziano, Maria Gabriella, 2004. "The pure theory of public goods: the case of many commodities," Journal of Mathematical Economics, Elsevier, vol. 40(7), pages 847-868, November.
    11. Basile, Achille & Graziano, Maria Gabriella, 2001. "On the edgeworth's conjecture in finitely additive economies with restricted coalitions," Journal of Mathematical Economics, Elsevier, vol. 36(3), pages 219-240, December.
    12. Hart, Sergiu, 1974. "Formation of cartels in large markets," Journal of Economic Theory, Elsevier, vol. 7(4), pages 453-466, April.
    13. Achille Basile & Maria Gabriella Graziano & Maria Laura Pesce, 2010. "Mixed Markets with Public Goods," CSEF Working Papers 261, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy, revised 29 May 2012.
    14. CHAMPSAUR, Paul, 1975. "How to share the cost of a public good?," LIDAM Reprints CORE 268, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    15. John C. Harsanyi, 1974. "An Equilibrium-Point Interpretation of Stable Sets and a Proposed Alternative Definition," Management Science, INFORMS, vol. 20(11), pages 1472-1495, July.
    16. Lucas, William F., 1992. "Von Neumann-Morgenstern stable sets," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 17, pages 543-590, Elsevier.
    17. 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. Japneet Kaur, 2023. "Stable sets in economies with club goods," Indira Gandhi Institute of Development Research, Mumbai Working Papers 2023-011, Indira Gandhi Institute of Development Research, Mumbai, India.

    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. 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.
    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. 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. 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.
    5. Japneet Kaur, 2023. "Stable sets in economies with club goods," Indira Gandhi Institute of Development Research, Mumbai Working Papers 2023-011, Indira Gandhi Institute of Development Research, Mumbai, India.
    6. 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.
    7. 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.
    8. Monique Florenzano, 2009. "Walras-Lindahl-Wicksell: What equilibrium concept for public goods provision ? I - The convex case," Post-Print halshs-00367867, HAL.
    9. De Simone, Anna & Graziano, Maria Gabriella, 2004. "The pure theory of public goods: the case of many commodities," Journal of Mathematical Economics, Elsevier, vol. 40(7), pages 847-868, November.
    10. Xiao Luo, 2009. "On the foundation of stability," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(2), pages 185-201, August.
    11. 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.
    12. Bhowmik, Anuj & Saha, Sandipan, 2022. "On blocking mechanisms in economies with club goods," MPRA Paper 114928, University Library of Munich, Germany.
    13. 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.
    14. Debraj Ray & Rajiv Vohra, 2015. "The Farsighted Stable Set," Econometrica, Econometric Society, vol. 83(3), pages 977-1011, May.
    15. 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.
    16. 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.
    17. 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.
    18. Hirai, Toshiyuki & Watanabe, Naoki, 2018. "von Neumann–Morgenstern stable sets of a patent licensing game: The existence proof," Mathematical Social Sciences, Elsevier, vol. 94(C), pages 1-12.
    19. 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.
    20. 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.

    More about this item

    Keywords

    Public projects; Contribution measures; Coalitions; Von Neumann–Morgenstern stable sets; Sophisticated stable sets;
    All these keywords.

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D60 - Microeconomics - - Welfare Economics - - - General
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General

    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:spr:joecth:v:62:y:2016:i:1:d:10.1007_s00199-014-0854-7. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.