IDEAS home Printed from https://ideas.repec.org/a/eee/pubeco/v156y2017icp73-80.html
   My bibliography  Save this article

The Samuelson condition and the Lindahl scheme in networks

Author

Listed:
  • Sun, Guang-Zhen

Abstract

We study optimal provision of public goods in the network, showing that the Samuelson condition and the Lindahl scheme can both be substantially extended to characterize the expenditure on such public goods. Couched in terms of the structure of the network, the extended Samuelson condition and Lindahl scheme formulate precisely how the local publicness of a local public good fundamentally determines its optimal provision and the personalized price that the Lindahl tax-payer faces. Independence of the optimal allocation from the distribution of resources at interior Samuelsonian solutions in the network generally fails to hold even for the Bergstrom-Cornes preferences.

Suggested Citation

  • Sun, Guang-Zhen, 2017. "The Samuelson condition and the Lindahl scheme in networks," Journal of Public Economics, Elsevier, vol. 156(C), pages 73-80.
    • Handle: RePEc:eee:pubeco:v:156:y:2017:i:c:p:73-80
    DOI: 10.1016/j.jpubeco.2017.10.005
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S004727271730169X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jpubeco.2017.10.005?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. Masako Fujiie & Yujiro Hayami & Masao Kikuchi, 2005. "The conditions of collective action for local commons management: the case of irrigation in the Philippines," Agricultural Economics, International Association of Agricultural Economists, vol. 33(2), pages 179-189, September.
    2. Dasgupta, Indraneel & Kanbur, Ravi, 2003. "Bridging Communal Divides: Separation, Patronage, Integration," Working Papers 127235, Cornell University, Department of Applied Economics and Management.
    3. Allouch, Nizar, 2015. "On the private provision of public goods on networks," Journal of Economic Theory, Elsevier, vol. 157(C), pages 527-552.
    4. Martin Andersson & Olof Ejermo, 2005. "How does accessibility to knowledge sources affect the innovativeness of corporations?—evidence from Sweden," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 39(4), pages 741-765, December.
    5. Adam B. Jaffe & Manuel Trajtenberg & Rebecca Henderson, 1993. "Geographic Localization of Knowledge Spillovers as Evidenced by Patent Citations," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(3), pages 577-598.
    6. Antoni Calvó-Armengol & Matthew O. Jackson, 2004. "The Effects of Social Networks on Employment and Inequality," American Economic Review, American Economic Association, vol. 94(3), pages 426-454, June.
    7. 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.
    8. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    9. Bergstrom, Theodore C & Cornes, Richard C, 1983. "Independence of Allocative Efficiency from Distribution in the Theory of Public Goods," Econometrica, Econometric Society, vol. 51(6), pages 1753-1765, November.
    10. Campbell, Donald E. & Truchon, Michel, 1988. "Boundary optima and the theory of public goods supply," Journal of Public Economics, Elsevier, vol. 35(2), pages 241-249, March.
    11. Oz Shy, 2011. "A Short Survey of Network Economics," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 38(2), pages 119-149, March.
    12. Conley, John P. & Diamantaras, Dimitrios, 1996. "Generalized Samuelson conditions and welfare theorems for nonsmooth economies," Journal of Public Economics, Elsevier, vol. 59(1), pages 137-152, January.
    13. Guang-Zhen Sun, 2012. "When Does Everyone Contribute in the Private Provision of Local Public Goods?," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 14(6), pages 911-925, December.
    14. Oriana Bandiera & Iwan Barankay & Imran Rasul, 2005. "Cooperation in collective action," The Economics of Transition, The European Bank for Reconstruction and Development, vol. 13(3), pages 473-498, July.
    15. Peacock, Alan & Scott, Alex, 2000. "The Curious Attraction of Wagner's Law," Public Choice, Springer, vol. 102(1-2), pages 1-17, January.
    16. Andrea Galeotti & Sanjeev Goyal & Matthew O. Jackson & Fernando Vega-Redondo & Leeat Yariv, 2010. "Network Games," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(1), pages 218-244.
    17. Matthew O. Jackson, 2009. "Networks and Economic Behavior," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 489-513, May.
    18. Coren L. Apicella & Frank W. Marlowe & James H. Fowler & Nicholas A. Christakis, 2012. "Social networks and cooperation in hunter-gatherers," Nature, Nature, vol. 481(7382), pages 497-501, January.
    19. Bardhan, Pranab, 2000. "Irrigation and Cooperation: An Empirical Analysis of 48 Irrigation Communities in South India," Economic Development and Cultural Change, University of Chicago Press, vol. 48(4), pages 847-865, July.
    20. 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.
    21. Philip Bodman & Andrew Hodge, 2010. "What Drives Fiscal Decentralisation? Further Assessing the Role of Income," Fiscal Studies, Institute for Fiscal Studies, vol. 31(3), pages 373-404, September.
    22. Bramoulle, Yann & Kranton, Rachel, 2007. "Public goods in networks," Journal of Economic Theory, Elsevier, vol. 135(1), pages 478-494, July.
    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. Nizar Allouch & Maia King, 2019. "Constrained public goods in networks," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 21(5), pages 895-902, October.

    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. Allouch, Nizar, 2017. "The cost of segregation in (social) networks," Games and Economic Behavior, Elsevier, vol. 106(C), pages 329-342.
    2. Yasuyuki Sawada & Ryuji Kasahara & Keitaro Aoyagi & Masahiro Shoji & Mika Ueyama, 2013. "Modes of Collective Action in Village Economies: Evidence from Natural and Artefactual Field Experiments in a Developing Country," Asian Development Review, MIT Press, vol. 30(1), pages 31-51, March.
    3. Dunia Lopez-Pintado, 2016. "Influence networks and public goods," UMASS Amherst Economics Working Papers 2016-12, University of Massachusetts Amherst, Department of Economics.
    4. Acemoglu, Daron & Malekian, Azarakhsh & Ozdaglar, Asu, 2016. "Network security and contagion," Journal of Economic Theory, Elsevier, vol. 166(C), pages 536-585.
    5. Jackson, Matthew O. & Zenou, Yves, 2015. "Games on Networks," Handbook of Game Theory with Economic Applications,, Elsevier.
    6. Bramoulle, Yann & Kranton, Rachel, 2007. "Public goods in networks," Journal of Economic Theory, Elsevier, vol. 135(1), pages 478-494, July.
    7. Neilson, William & Wichmann, Bruno, 2014. "Social networks and non-market valuations," Journal of Environmental Economics and Management, Elsevier, vol. 67(2), pages 155-170.
    8. Allouch, Nizar, 2015. "On the private provision of public goods on networks," Journal of Economic Theory, Elsevier, vol. 157(C), pages 527-552.
    9. Gamannossi degl’Innocenti, Duccio & Rablen, Matthew D., 2020. "Tax evasion on a social network," Journal of Economic Behavior & Organization, Elsevier, vol. 169(C), pages 79-91.
    10. Rébillé, Yann & Richefort, Lionel, 2014. "Equilibrium existence and uniqueness in network games with additive preferences," European Journal of Operational Research, Elsevier, vol. 232(3), pages 601-606.
    11. Clive Fraser, 2012. "Milton Friedman, the Demand for Money and the ECB’s Monetary-Policy Strategy," Discussion Papers in Economics 12/06, Division of Economics, School of Business, University of Leicester.
    12. Sebastian Bervoets & Kohmei Makihara, 2023. "Public Goods in Networks: Comparative Statics Results," AMSE Working Papers 2317, Aix-Marseille School of Economics, France.
    13. Topa, Giorgio & Zenou, Yves, 2015. "Neighborhood and Network Effects," Handbook of Regional and Urban Economics, in: Gilles Duranton & J. V. Henderson & William C. Strange (ed.), Handbook of Regional and Urban Economics, edition 1, volume 5, chapter 0, pages 561-624, Elsevier.
    14. Helsley, Robert W. & Zenou, Yves, 2014. "Social networks and interactions in cities," Journal of Economic Theory, Elsevier, vol. 150(C), pages 426-466.
    15. Ghosh, Suman & Karaivanov, Alexander, 2007. "Can a raise in your wage make you worse off? A public goods perspective," Journal of Development Economics, Elsevier, vol. 84(1), pages 551-571, September.
    16. Fraser, Clive D., 2012. "Nash equilibrium existence and uniqueness in a club model," Economics Letters, Elsevier, vol. 117(2), pages 496-499.
    17. Charness, Gary & Feri, Francesco & Meléndez-Jiménez, Miguel A. & Sutter, Matthias, 2012. "Equilibrium Selection in Experimental Games on Networks," University of California at Santa Barbara, Economics Working Paper Series qt51v6w9hd, Department of Economics, UC Santa Barbara.
    18. Alexander Matros & David Michael Rietzke, 2017. "Contests on Networks," Working Papers 156630581, Lancaster University Management School, Economics Department.
    19. Dunia López-Pintado, 2017. "Influence networks and public goods," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 8(1), pages 97-112, March.
    20. Nobuyoshi Yasunaga, 2020. "Classification of collective actions for rural community vitalization in Chugoku Mountainous region, Japan: applying multiple correspondence analysis," Asia-Pacific Journal of Regional Science, Springer, vol. 4(2), pages 553-592, June.

    More about this item

    Keywords

    Local public goods; Network; The Samuelson condition; The Lindahl equilibrium; Adjacency matrix;
    All these keywords.

    JEL classification:

    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis

    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:eee:pubeco:v:156:y:2017:i:c:p:73-80. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/505578 .

    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.