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Certification Design for a Competitive Market

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  • Andreas A. Haupt
  • Nicole Immorlica
  • Brendan Lucier

Abstract

Motivated by applications such as voluntary carbon markets and educational testing, we consider a market for goods with varying but hidden levels of quality in the presence of a third-party certifier. The certifier can provide informative signals about the quality of products, and can charge for this service. Sellers choose both the quality of the product they produce and a certification. Prices are then determined in a competitive market. Under a single-crossing condition, we show that the levels of certification chosen by producers are uniquely determined at equilibrium. We then show how to reduce a revenue-maximizing certifier's problem to a monopolistic pricing problem with non-linear valuations, and design an FPTAS for computing the optimal slate of certificates and their prices. In general, both the welfare-optimal and revenue-optimal slate of certificates can be arbitrarily large.

Suggested Citation

  • Andreas A. Haupt & Nicole Immorlica & Brendan Lucier, 2023. "Certification Design for a Competitive Market," Papers 2301.13449, arXiv.org.
    • Handle: RePEc:arx:papers:2301.13449
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    References listed on IDEAS

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    1. Dirk Bergemann & Benjamin Brooks & Stephen Morris, 2017. "First‐Price Auctions With General Information Structures: Implications for Bidding and Revenue," Econometrica, Econometric Society, vol. 85, pages 107-143, January.
    2. Dirk Bergemann & Stephen Morris, 2019. "Information Design: A Unified Perspective," Journal of Economic Literature, American Economic Association, vol. 57(1), pages 44-95, March.
    3. Thales A. P. West & Sven Wunder & Erin O. Sills & Jan Borner & Sami W. Rifai & Alexandra N. Neidermeier & Andreas Kontoleon, 2023. "Action needed to make carbon offsets from tropical forest conservation work for climate change mitigation," Papers 2301.03354, arXiv.org.
    4. Daniel W. Elfenbein & Raymond Fisman & Brian McManus, 2015. "Market Structure, Reputation, and the Value of Quality Certification," American Economic Journal: Microeconomics, American Economic Association, vol. 7(4), pages 83-108, November.
    5. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    6. Alessandro Lizzeri, 1999. "Information Revelation and Certification Intermediaries," RAND Journal of Economics, The RAND Corporation, vol. 30(2), pages 214-231, Summer.
    7. Paul R. Milgrom, 1981. "Good News and Bad News: Representation Theorems and Applications," Bell Journal of Economics, The RAND Corporation, vol. 12(2), pages 380-391, Autumn.
    8. Viral V. Acharya & Peter DeMarzo & Ilan Kremer, 2011. "Endogenous Information Flows and the Clustering of Announcements," American Economic Review, American Economic Association, vol. 101(7), pages 2955-2979, December.
    9. Dirk Bergemann & Alessandro Bonatti & Alex Smolin, 2018. "The Design and Price of Information," American Economic Review, American Economic Association, vol. 108(1), pages 1-48, January.
    10. Steven Tadelis & Florian Zettelmeyer, 2015. "Information Disclosure as a Matching Mechanism: Theory and Evidence from a Field Experiment," American Economic Review, American Economic Association, vol. 105(2), pages 886-905, February.
    11. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    12. Alejandro Saporiti & Fernando Tohmé, 2006. "Single-Crossing, Strategic Voting and the Median Choice Rule," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(2), pages 363-383, April.
    13. Michael Luca, 2011. "Reviews, Reputation, and Revenue: The Case of Yelp.com," Harvard Business School Working Papers 12-016, Harvard Business School, revised Mar 2016.
    14. Spence, Michael, 1974. "Competitive and optimal responses to signals: An analysis of efficiency and distribution," Journal of Economic Theory, Elsevier, vol. 7(3), pages 296-332, March.
    15. Gul, Faruk & Stacchetti, Ennio, 2000. "The English Auction with Differentiated Commodities," Journal of Economic Theory, Elsevier, vol. 92(1), pages 66-95, May.
    16. S Nageeb Ali & Nima Haghpanah & Xiao Lin & Ron Siegel, 2022. "How to Sell Hard Information," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 137(1), pages 619-678.
    17. Piotr Dworczak, 2020. "Mechanism Design With Aftermarkets: Cutoff Mechanisms," Econometrica, Econometric Society, vol. 88(6), pages 2629-2661, November.
    18. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(2), pages 175-208.
    19. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    20. Bradley S. Wimmer & Brian Chezum, 2003. "An Empirical Examination of Quality Certification in a "Lemons Market"," Economic Inquiry, Western Economic Association International, vol. 41(2), pages 279-291, April.
    21. Peter M. DeMarzo & Ilan Kremer & Andrzej Skrzypacz, 2019. "Test Design and Minimum Standards," American Economic Review, American Economic Association, vol. 109(6), pages 2173-2207, June.
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