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Optimal Pricing of Public Lotteries and Comparison of Competing Mechanisms

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  • David Scrogin

    (University of Central Florida, Orlando, FL)

  • Chen Ling

    (Southwestern University of Finance and Economics, Chengdu, Sichuan, China)

Abstract

The negative effects of price controls on consumer surplus in competitive markets are well known. But what of consumer surplus if supply is fixed, as with rival but otherwise non-excludable goods held in public trust? This paper establishes optimal pricing rules for rationing indivisible units of such goods by lottery or mixture of a lottery and auction. The solution to the pricing problem appears in classic inverse elasticity form that may be directly implemented. Analysis of a rich class of private value distributions indicates the optimal lottery yields sizable gains in expected consumer surplus over competitive pricing and zero pricing.

Suggested Citation

  • David Scrogin & Chen Ling, 2012. "Optimal Pricing of Public Lotteries and Comparison of Competing Mechanisms," Working Papers 2012-05, University of Central Florida, Department of Economics.
  • Handle: RePEc:cfl:wpaper:2012-05
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    References listed on IDEAS

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    1. Shogren, Jason F. & Margolis, Michael & Koo, Cannon & List, John A., 2001. "A random nth-price auction," Journal of Economic Behavior & Organization, Elsevier, vol. 46(4), pages 409-421, December.
    2. Buschena, David E. & Anderson, Terry L. & Leonard, Jerry L., 2001. "Valuing Non-Marketed Goods: The Case of Elk Permit Lotteries," Journal of Environmental Economics and Management, Elsevier, vol. 41(1), pages 33-43, January.
    3. Tobin, James, 1970. "On Limiting the Domain of Inequality," Journal of Law and Economics, University of Chicago Press, vol. 13(2), pages 263-277, October.
    4. Kahneman, Daniel & Knetsch, Jack L & Thaler, Richard H, 1986. "Fairness and the Assumptions of Economics," The Journal of Business, University of Chicago Press, vol. 59(4), pages 285-300, October.
    5. Lucas W. Davis & Lutz Kilian, 2011. "The Allocative Cost of Price Ceilings in the U.S. Residential Market for Natural Gas," Journal of Political Economy, University of Chicago Press, vol. 119(2), pages 212-241.
    6. Jeremy Bulow & Paul Klemperer, 2012. "Regulated Prices, Rent Seeking, and Consumer Surplus," Journal of Political Economy, University of Chicago Press, vol. 120(1), pages 160-186.
    7. Joseph Seneca, 1970. "The welfare effects of zero pricing of public goods," Public Choice, Springer, vol. 8(1), pages 101-110, March.
    8. Evans, Mary F. & Vossler, Christian A. & Flores, Nicholas E., 2009. "Hybrid allocation mechanisms for publicly provided goods," Journal of Public Economics, Elsevier, vol. 93(1-2), pages 311-325, February.
    9. Papke, Leslie E & Wooldridge, Jeffrey M, 1996. "Econometric Methods for Fractional Response Variables with an Application to 401(K) Plan Participation Rates," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 619-632, Nov.-Dec..
    10. Edward L. Glaeser & Erzo F. P. Luttmer, 2003. "The Misallocation of Housing Under Rent Control," American Economic Review, American Economic Association, vol. 93(4), pages 1027-1046, September.
    11. Mumy, Gene E & Hanke, Steve H, 1975. "Public Investment Criteria for Underpriced Public Products," American Economic Review, American Economic Association, vol. 65(4), pages 712-720, September.
    12. Taylor, Grant A. & Tsui, Kevin K. K. & Zhu, Lijing, 2003. "Lottery or waiting-line auction?," Journal of Public Economics, Elsevier, vol. 87(5-6), pages 1313-1334, May.
    13. Condorelli, Daniele, 2012. "What money canʼt buy: Efficient mechanism design with costly signals," Games and Economic Behavior, Elsevier, vol. 75(2), pages 613-624.
    14. Alan J. Auerbach & Anthony J. Pellechio, 1978. "The Two-Part Tariff and Voluntary Market Participation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 92(4), pages 571-587.
    15. Winston Koh & Zhenlin Yang & Lijing Zhu, 2006. "Lottery Rather than Waiting-line Auction," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(2), pages 289-310, October.
    16. Scrogin, David, 2005. "Lottery-rationed public access under alternative tariff arrangements: changes in quality, quantity, and expected utility," Journal of Environmental Economics and Management, Elsevier, vol. 50(1), pages 189-211, July.
    17. Martin S. Feldstein, 1972. "Equity and Efficiency in Public Sector Pricing: The Optimal Two-Part Tariff," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 86(2), pages 175-187.
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    More about this item

    Keywords

    lotteries; price control; surplus;
    All these keywords.

    JEL classification:

    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • H27 - Public Economics - - Taxation, Subsidies, and Revenue - - - Other Sources of Revenue

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