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Optimal Provision of Multiple Excludable Public Goods

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  • Hanming Fang
  • Peter Norman

Abstract

This paper studies the optimal provision mechanism for multiple excludable public goods. For a class of problems with symmetric goods and binary valuations, we show that the optimal mechanism involves bundling if a regularity condition, akin to a hazard rate condition, on the distribution of valuations is satisfied. Relative to separate provision mechanisms, the optimal bundling mechanism may increase the asymptotic provision probability of socially efficient public goods from zero to one, and decreases the extent of use exclusions. If the regularity condition is violated, the optimal solution replicates the separate provision outcome for the two-good case. (JEL D82, H41)

Suggested Citation

  • Hanming Fang & Peter Norman, 2010. "Optimal Provision of Multiple Excludable Public Goods," American Economic Journal: Microeconomics, American Economic Association, vol. 2(4), pages 1-37, November.
  • Handle: RePEc:aea:aejmic:v:2:y:2010:i:4:p:1-37
    Note: DOI: 10.1257/mic.2.4.1
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    References listed on IDEAS

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    1. Hanming Fang & Peter Norman, 2003. "An Efficiency Rationale for Bundling of Public Goods," Cowles Foundation Discussion Papers 1441, Cowles Foundation for Research in Economics, Yale University.
    2. Armstrong, Mark, 1996. "Multiproduct Nonlinear Pricing," Econometrica, Econometric Society, vol. 64(1), pages 51-75, January.
    3. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    4. Crawford, Gregory S. & Cullen, Joseph, 2007. "Bundling, product choice, and efficiency: Should cable television networks be offered a la carte?," Information Economics and Policy, Elsevier, vol. 19(3-4), pages 379-404, October.
    5. Hanming Fang & Peter Norman, 2006. "To bundle or not to bundle," RAND Journal of Economics, RAND Corporation, vol. 37(4), pages 946-963, December.
    6. Martin F. Hellwig, 2003. "Public-Good Provision with Many Participants," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(3), pages 589-614.
    7. Hanming Fang & Peter Norman, 2010. "Optimal Provision of Multiple Excludable Public Goods," American Economic Journal: Microeconomics, American Economic Association, vol. 2(4), pages 1-37, November.
    8. Norman,P., 2000. "Efficient mechanisms for public goods with use exclusions," Working papers 15, Wisconsin Madison - Social Systems.
    9. Matthews, Steven & Moore, John, 1987. "Monopoly Provision of Quality and Warranties: An Exploration in the Theory of Multidimensional Screening," Econometrica, Econometric Society, vol. 55(2), pages 441-467, March.
    10. Patrick Bolton & Mathias Dewatripont, 2005. "Contract Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262025760, December.
    11. Yannis Bakos & Erik Brynjolfsson, 1999. "Bundling Information Goods: Pricing, Profits, and Efficiency," Management Science, INFORMS, vol. 45(12), pages 1613-1630, December.
    12. Hellwig, Martin F., 2005. "A utilitarian approach to the provision and pricing of excludable public goods," Journal of Public Economics, Elsevier, vol. 89(11-12), pages 1981-2003, December.
    13. William James Adams & Janet L. Yellen, 1976. "Commodity Bundling and the Burden of Monopoly," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 90(3), pages 475-498.
    14. Hanming Fang & Peter Norman, 2006. "To bundle or not to bundle," RAND Journal of Economics, The RAND Corporation, vol. 37(4), pages 946-963, December.
    15. Dana Jr. James D., 1993. "The Organization and Scope of Agents: Regulating Multiproduct Industries," Journal of Economic Theory, Elsevier, vol. 59(2), pages 288-310, April.
    16. Ledyard, John O. & Palfrey, Thomas R., 2007. "A general characterization of interim efficient mechanisms for independent linear environments," Journal of Economic Theory, Elsevier, vol. 133(1), pages 441-466, March.
    17. Mark Armstrong, 1999. "Price Discrimination by a Many-Product Firm," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 151-168.
    18. Cremer, Jacques & McLean, Richard P, 1988. "Full Extraction of the Surplus in Bayesian and Dominant Strategy Auctions," Econometrica, Econometric Society, vol. 56(6), pages 1247-1257, November.
    19. Gregory S. Crawford & Ali Yurukoglu, 2012. "The Welfare Effects of Bundling in Multichannel Television Markets," American Economic Review, American Economic Association, vol. 102(2), pages 643-685, April.
    20. Tilman Börgers & Peter Norman, 2009. "A note on budget balance under interim participation constraints: the case of independent types," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(3), pages 477-489, June.
    21. George J. Mailath & Andrew Postlewaite, 1990. "Asymmetric Information Bargaining Problems with Many Agents," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(3), pages 351-367.
    22. Manelli, Alejandro M. & Vincent, Daniel R., 2006. "Bundling as an optimal selling mechanism for a multiple-good monopolist," Journal of Economic Theory, Elsevier, vol. 127(1), pages 1-35, March.
    23. Gregory Crawford, 2008. "The discriminatory incentives to bundle in the cable television industry," Quantitative Marketing and Economics (QME), Springer, vol. 6(1), pages 41-78, March.
    24. Armstrong, Mark & Rochet, Jean-Charles, 1999. "Multi-dimensional screening:: A user's guide," European Economic Review, Elsevier, vol. 43(4-6), pages 959-979, April.
    25. R. Preston McAfee & John McMillan & Michael D. Whinston, 1989. "Multiproduct Monopoly, Commodity Bundling, and Correlation of Values," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(2), pages 371-383.
    26. Matthew O Jackson & Hugo F Sonnenschein, 2007. "Overcoming Incentive Constraints by Linking Decisions -super-1," Econometrica, Econometric Society, vol. 75(1), pages 241-257, January.
    27. Peter Norman, 2004. "Efficient Mechanisms for Public Goods with Use Exclusions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(4), pages 1163-1188.
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    Cited by:

    1. Hanming Fang & Peter Norman, 2010. "Optimal Provision of Multiple Excludable Public Goods," American Economic Journal: Microeconomics, American Economic Association, vol. 2(4), pages 1-37, November.
    2. Hellwig, Martin F., 2007. "The provision and pricing of excludable public goods: Ramsey-Boiteux pricing versus bundling," Journal of Public Economics, Elsevier, vol. 91(3-4), pages 511-540, April.
    3. Grüner, Hans Peter & Koriyama, Yukio, 2012. "Public goods, participation constraints, and democracy: A possibility theorem," Games and Economic Behavior, Elsevier, vol. 75(1), pages 152-167.
    4. Grüner, Hans Peter, 2008. "Public goods, participation constraints, and democracy: A possibility theorem," CEPR Discussion Papers 7066, C.E.P.R. Discussion Papers.
    5. Eilat, Ran & Pauzner, Ady, 2011. "Optimal bilateral trade of multiple objects," Games and Economic Behavior, Elsevier, vol. 71(2), pages 503-512, March.
    6. Stefan Behringer, 2005. "The Provision of a Public Good with a direct Provision Technology and Large Number of Agents," JEPS Working Papers 05-007, JEPS.
    7. Hanming Fang & Peter Norman, 2014. "Toward an efficiency rationale for the public provision of private goods," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(2), pages 375-408, June.
    8. John Asker & Mariagiovanna Baccara & SangMok Lee, 2021. "Patent auctions and bidding coalitions: structuring the sale of club goods," RAND Journal of Economics, RAND Corporation, vol. 52(3), pages 662-690, September.
    9. Eilat, Ran & Paunzer, Ady, 2008. "Optimal Bilateral Trade of Multiple Objects," Foerder Institute for Economic Research Working Papers 275716, Tel-Aviv University > Foerder Institute for Economic Research.
    10. Stefano Galavotti, 2014. "Reducing Inefficiency in Public Good Provision Through Linking," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 16(3), pages 427-466, June.
    11. Engel, Christoph, 0. "Competition in a pure world of Internet telephony," Telecommunications Policy, Elsevier, vol. 31(8-9), pages 530-540, September.
    12. Koessler, Frédéric & Martimort, David, 2012. "Optimal delegation with multi-dimensional decisions," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1850-1881.
    13. Heywood, John S. & Li, Dongyang & Ye, Guangliang, 2023. "Private provision of price excludable public goods by rivals," Journal of Economic Behavior & Organization, Elsevier, vol. 214(C), pages 291-307.
    14. Felix Kolle, 2012. "Heterogeneity and Cooperation in Privileged Groups: The Role of Capability and Valuation on Public Goods Provision," Discussion Papers 2012-07, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    15. Ellingsen, Tore & Paltseva, Elena, 2012. "The private provision of excludable public goods: An inefficiency result," Journal of Public Economics, Elsevier, vol. 96(9-10), pages 658-669.
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    17. Loertscher, Simon & Marx, Leslie M., 2017. "Club good intermediaries," International Journal of Industrial Organization, Elsevier, vol. 50(C), pages 430-459.

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    More about this item

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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