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The evolution of bidding behavior in private-values auctions and double auctions

Author

Listed:
  • Rene Saran

    (Brown University)

  • Roberto Serrano

    () (Brown University and IMDEA Social Sciences)

Abstract

We apply stochastic stability to study the evolution of bidding behavior in private-values second-price, first-price and k-double auctions. The learning process has a strong component of inertia but with a small probability, the bids are modified in the direction of ex-post regrets. We identify essentially a unique bid that will be used by each type in the long run. In the second-price auction, this is the truthful bid. In the first-price auction, bidding half of one’s valuation is stable. The stable bid in the k-double auction is a toughening of the Chatterjee-Samuelson linear equilibrium strategy. If we add a friction in changing one’s bid, then truth-telling behavior is also obtained in the first-price and k-double auctions. Intuitively, the stochastically stable bid minimizes the maximal regret.

Suggested Citation

  • Rene Saran & Roberto Serrano, 2007. "The evolution of bidding behavior in private-values auctions and double auctions," Working Papers 2007-10, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
  • Handle: RePEc:imd:wpaper:wp2007-10
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    References listed on IDEAS

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    1. Sergiu Hart, 2013. "Adaptive Heuristics," World Scientific Book Chapters,in: Simple Adaptive Strategies From Regret-Matching to Uncoupled Dynamics, chapter 11, pages 253-287 World Scientific Publishing Co. Pte. Ltd..
    2. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    3. Tore Ellingsen, 1997. "The Evolution of Bargaining Behavior," The Quarterly Journal of Economics, Oxford University Press, vol. 112(2), pages 581-602.
    4. Sergiu Hart & Andreu Mas-Colell, 2000. "A Simple Adaptive Procedure Leading to Correlated Equilibrium," Econometrica, Econometric Society, vol. 68(5), pages 1127-1150, September.
    5. Mogens Jensen & Birgitte Sloth & Hans Whitta-Jacobsen, 2005. "The evolution of conventions under incomplete information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(1), pages 171-185, January.
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    Cited by:

    1. Saran Rene & Serrano Roberto, 2010. "Ex-Post Regret Learning in Games with Fixed and Random Matching: The Case of Private Values," Research Memorandum 032, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).

    More about this item

    Keywords

    stochastic stability; ex-post regret; second-price auction; first-price auction; k-double auction;

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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