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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 when agents' valuations are private information. For a parametric class of problems with binary valuations, we demonstrate that the optimal mechanism involves bundling if a regularity condition, akin to a hazard rate condition, on the distribution of valuations is satisfied. Bundling alleviates the free riding problem in large economies in two ways: first, it may increase the asymptotic provision probability of socially efficient public goods from zero to one; second, it decreases the extent of use exclusions. If the regularity condition is violated, then the optimal solution replicates the separate provision outcome.

Suggested Citation

  • Hanming Fang & Peter Norman, 2008. "Optimal Provision of Multiple Excludable Public Goods," NBER Working Papers 13797, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:13797
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    1. 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.
    2. Patrick Bolton & Mathias Dewatripont, 2005. "Contract Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262025760, April.
    3. 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.
    4. 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.
    5. 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.
    6. Yannis Bakos & Erik Brynjolfsson, 1999. "Bundling Information Goods: Pricing, Profits, and Efficiency," Management Science, INFORMS, vol. 45(12), pages 1613-1630, December.
    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. 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.
    9. Hanming Fang & Peter Norman, 2006. "To bundle or not to bundle," RAND Journal of Economics, RAND Corporation, vol. 37(4), pages 946-963, December.
    10. 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.
    11. 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.
    12. 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.
    13. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    14. 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.
    15. 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.
    16. 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.
    17. 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.
    18. 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.
    19. 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.
    20. 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.
    21. Norman,P., 2000. "Efficient mechanisms for public goods with use exclusions," Working papers 15, Wisconsin Madison - Social Systems.
    22. 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.
    23. 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.
    24. Armstrong, Mark, 1996. "Multiproduct Nonlinear Pricing," Econometrica, Econometric Society, vol. 64(1), pages 51-75, January.
    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. 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.
    27. 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.
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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. Engel, Christoph, 0. "Competition in a pure world of Internet telephony," Telecommunications Policy, Elsevier, vol. 31(8-9), pages 530-540, September.
    6. 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.
    7. Koessler, Frédéric & Martimort, David, 2012. "Optimal delegation with multi-dimensional decisions," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1850-1881.
    8. 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.
    9. Loertscher, Simon & Marx, Leslie M., 2017. "Club good intermediaries," International Journal of Industrial Organization, Elsevier, vol. 50(C), pages 430-459.
    10. 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.
    11. Eilat, Ran & Pauzner, Ady, 2011. "Optimal bilateral trade of multiple objects," Games and Economic Behavior, Elsevier, vol. 71(2), pages 503-512, March.
    12. 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.
    13. 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.
    14. 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.
    15. Li, Yunan & Zhang, Xingtan, 2024. "Collective decision through an informed mediator," Journal of Economic Theory, Elsevier, vol. 218(C).
    16. 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.
    17. Grüner, Hans Peter, 2008. "Public goods, participation constraints, and democracy: A possibility theorem," CEPR Discussion Papers 7066, C.E.P.R. Discussion Papers.
    18. Gravel, Nicolas & Poitevin, Michel, 2019. "Optimal provision of a public good with costly exclusion," Games and Economic Behavior, Elsevier, vol. 117(C), pages 451-460.

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

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