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Asymptotically optimal prior-free asset market mechanisms

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  • Loertscher, Simon
  • Marx, Leslie M.

Abstract

We develop a prior-free mechanism for an asset market that is dominant-strategy incentive compatible, ex post individually rational, constrained efficient, and asymptotically optimal—as the number of agents grows large, the designer's profit from using this mechanism approaches the profit it would optimally make if it knew the agents' type distribution at the outset. The direct implementation first identifies the agent whose value equals the Walrasian price. The second step can be described algorithmically as consisting of ascending and descending clock auctions that start from the Walrasian price, estimate virtual types, and stop eliminating trades when the estimated virtual value exceeds the estimated virtual cost. The mechanism permits partial clock auction implementation. Our approach accommodates heterogeneity among groups of traders and discrimination among these, provided heterogeneity is not too accentuated.

Suggested Citation

  • Loertscher, Simon & Marx, Leslie M., 2023. "Asymptotically optimal prior-free asset market mechanisms," Games and Economic Behavior, Elsevier, vol. 137(C), pages 68-90.
    • Handle: RePEc:eee:gamebe:v:137:y:2023:i:c:p:68-90
    DOI: 10.1016/j.geb.2022.10.013
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    1. Baliga Sandeep & Vohra Rakesh, 2003. "Market Research and Market Design," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 3(1), pages 1-27, August.
    2. Ilya Segal, 2003. "Optimal Pricing Mechanisms with Unknown Demand," American Economic Review, American Economic Association, vol. 93(3), pages 509-529, June.
    3. Atı̇la Abdulkadı̇roğlu & Joshua D. Angrist & Yusuke Narita & Parag Pathak, 2022. "Breaking Ties: Regression Discontinuity Design Meets Market Design," Econometrica, Econometric Society, vol. 90(1), pages 117-151, January.
    4. Martin W. Cripps & Jeroen M. Swinkels, 2006. "Efficiency of Large Double Auctions," Econometrica, Econometric Society, vol. 74(1), pages 47-92, January.
    5. Bulow, Jeremy & Roberts, John, 1989. "The Simple Economics of Optimal Auctions," Journal of Political Economy, University of Chicago Press, vol. 97(5), pages 1060-1090, October.
    6. Atila Abdulkadiroğlu & Joshua D. Angrist & Yusuke Narita & Parag A. Pathak, 2017. "Research Design Meets Market Design: Using Centralized Assignment for Impact Evaluation," Econometrica, Econometric Society, vol. 85, pages 1373-1432, September.
    7. Gresik, Thomas A. & Satterthwaite, Mark A., 1989. "The rate at which a simple market converges to efficiency as the number of traders increases: An asymptotic result for optimal trading mechanisms," Journal of Economic Theory, Elsevier, vol. 48(1), pages 304-332, June.
    8. Oleg Baranov & Christina Aperjis & Lawrence M. Ausubel & Thayer Morrill, 2017. "Efficient Procurement Auctions with Increasing Returns," American Economic Journal: Microeconomics, American Economic Association, vol. 9(3), pages 1-27, August.
    9. Chen, Yi-Chun & Li, Jiangtao, 2018. "Revisiting the foundations of dominant-strategy mechanisms," Journal of Economic Theory, Elsevier, vol. 178(C), pages 294-317.
    10. Delacrétaz, David & Loertscher, Simon & Mezzetti, Claudio, 2022. "When Walras meets Vickrey," Theoretical Economics, Econometric Society, vol. 17(4), November.
    11. Cramton, Peter & Gibbons, Robert & Klemperer, Paul, 1987. "Dissolving a Partnership Efficiently," Econometrica, Econometric Society, vol. 55(3), pages 615-632, May.
    12. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    13. Loertscher, Simon & Wasser, Cédric, 2019. "Optimal structure and dissolution of partnerships," Theoretical Economics, Econometric Society, vol. 14(3), July.
    14. Loertscher, Simon & Mezzetti, Claudio, 2021. "A dominant strategy, double clock auction with estimation-based tatonnement," Theoretical Economics, Econometric Society, vol. 16(3), July.
    15. Lu, Hu & Robert, Jacques, 2001. "Optimal Trading Mechanisms with Ex Ante Unidentified Traders," Journal of Economic Theory, Elsevier, vol. 97(1), pages 50-80, March.
    16. Nikhil Agarwal & Itai Ashlagi & Michael A. Rees & Paulo Somaini & Daniel Waldinger, 2021. "Equilibrium Allocations Under Alternative Waitlist Designs: Evidence From Deceased Donor Kidneys," Econometrica, Econometric Society, vol. 89(1), pages 37-76, January.
    17. Loertscher, Simon & Marx, Leslie M., 2020. "Asymptotically optimal prior-free clock auctions," Journal of Economic Theory, Elsevier, vol. 187(C).
    18. 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.
    19. Lewis, Tracy R. & Sappington, David E. M., 1989. "Countervailing incentives in agency problems," Journal of Economic Theory, Elsevier, vol. 49(2), pages 294-313, December.
    20. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    21. Simon Loertscher & Leslie M. Marx & Tom Wilkening, 2015. "A Long Way Coming: Designing Centralized Markets with Privately Informed Buyers and Sellers," Journal of Economic Literature, American Economic Association, vol. 53(4), pages 857-897, December.
    22. Loertscher, Simon & Marx, Leslie M., 2020. "A dominant-strategy asset market mechanism," Games and Economic Behavior, Elsevier, vol. 120(C), pages 1-15.
    23. Paul Milgrom & Ilya Segal, 2020. "Clock Auctions and Radio Spectrum Reallocation," Journal of Political Economy, University of Chicago Press, vol. 128(1), pages 1-31.
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    More about this item

    Keywords

    Market mechanism; Endogenous trading position; Detail free; Mechanism design with estimation; Laffer curve;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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