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The Design and Price of Information

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Abstract
A data buyer faces a decision problem under uncertainty. He can augment his initial private information with supplemental data from a data seller. His willingness to pay for supplemental data is determined by the quality of his initial private information. The data seller optimally offers a menu of statistical experiments. We establish the properties that any revenue-maximizing menu of experiments must satisfy. Every experiment is a non-dispersed stochastic matrix, and every menu contains a fully informative experiment. In the cases of binary states and actions, or binary types, we provide an explicit construction of the optimal menu of experiments.

Suggested Citation

  • Dirk Bergemann & Alessandro Bonatti & Alex Smolin, 2017. "The Design and Price of Information," Cowles Foundation Discussion Papers 2049R, Cowles Foundation for Research in Economics, Yale University.
  • Handle: RePEc:cwl:cwldpp:2049r
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    References listed on IDEAS

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    1. Fuchs, William & Skrzypacz, Andrzej, 2015. "Government interventions in a dynamic market with adverse selection," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 371-406.
    2. Samuelson, William F, 1984. "Bargaining under Asymmetric Information," Econometrica, Econometric Society, vol. 52(4), pages 995-1005, July.
    3. Luis Rayo & Ilya Segal, 2010. "Optimal Information Disclosure," Journal of Political Economy, University of Chicago Press, vol. 118(5), pages 949-987.
    4. Sandro Brusco & Hugo Hopenhayn, 2007. "Deregulation with consensus," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(1), pages 223-250, July.
    5. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    6. Jullien, Bruno, 2000. "Participation Constraints in Adverse Selection Models," Journal of Economic Theory, Elsevier, vol. 93(1), pages 1-47, July.
    7. Marco Ottaviani & Andrea Prat, 2001. "The Value of Public Information in Monopoly," Econometrica, Econometric Society, vol. 69(6), pages 1673-1683, November.
    8. Koessler, Frédéric & Skreta, Vasiliki, 2016. "Informed seller with taste heterogeneity," Journal of Economic Theory, Elsevier, vol. 165(C), pages 456-471.
    9. Joseph E. Stiglitz, 1977. "Monopoly, Non-linear Pricing and Imperfect Information: The Insurance Market," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(3), pages 407-430.
    10. Tymofiy Mylovanov & Thomas Tröger, 2014. "Mechanism Design by an Informed Principal: Private Values with Transferable Utility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(4), pages 1668-1707.
    11. Toikka, Juuso, 2011. "Ironing without control," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2510-2526.
    12. Anton Kolotilin & Tymofiy Mylovanov & Andriy Zapechelnyuk & Ming Li, 2017. "Persuasion of a Privately Informed Receiver," Econometrica, Econometric Society, vol. 85(6), pages 1949-1964, November.
    13. Bergemann, Dirk & Pesendorfer, Martin, 2007. "Information structures in optimal auctions," Journal of Economic Theory, Elsevier, vol. 137(1), pages 580-609, November.
    14. Justin P. Johnson & David P. Myatt, 2006. "On the Simple Economics of Advertising, Marketing, and Product Design," American Economic Review, American Economic Association, vol. 96(3), pages 756-784, June.
    15. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    16. Krähmer, Daniel & Strausz, Roland, 2015. "Ex post information rents in sequential screening," Games and Economic Behavior, Elsevier, vol. 90(C), pages 257-273.
    17. Admati, Anat R. & Pfleiderer, Paul, 1986. "A monopolistic market for information," Journal of Economic Theory, Elsevier, vol. 39(2), pages 400-438, August.
    18. John Riley & Richard Zeckhauser, 1983. "Optimal Selling Strategies: When to Haggle, When to Hold Firm," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 98(2), pages 267-289.
    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. Sarvary, Miklos, 2012. "Gurus and Oracles: The Marketing of Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 026201694x, April.
    21. Eric Maskin & John Riley, 1984. "Monopoly with Incomplete Information," RAND Journal of Economics, The RAND Corporation, vol. 15(2), pages 171-196, Summer.
    22. repec:hal:pseose:halshs-01379293 is not listed on IDEAS
    23. 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.
    24. Levent Celik, 2014. "Information Unraveling Revisited: Disclosure of Horizontal Attributes," Journal of Industrial Economics, Wiley Blackwell, vol. 62(1), pages 113-136, March.
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    More about this item

    Keywords

    Information design; Price of information; Statistical experiments; Mechanism design; Price discrimination; Hypothesis testing;
    All these keywords.

    JEL classification:

    • D42 - Microeconomics - - Market Structure, Pricing, and Design - - - Monopoly
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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