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Discrete Rule Learning and the Bidding of the Sexes

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  • Shachat, Jason
  • Wei, Lijia

Abstract

We present a hidden Markov model of discrete strategic heterogeneity and learning in first price independent private values auctions. The model includes three latent bidding rules: constant absolute mark-up, constant percentage mark-up, and strategic best response. Rule switching probabilities depend upon a bidder's past auction outcomes. We apply this model to a new experiment that varies the number of bidders, the auction frame between forward and reverse, and includes the collection of saliva samples - used to measure subjects' sex hormone levels. We find the proportion of bidders following constant absolute mark-up increases with experience, particularly when the number of bidders is large. The primary driver here is subjects' increased propensity to switch strategies when they experience a loss (win) reinforcement when following a strategic (heuristic) rule. This affect is stronger for women and leads them spend more time following boundedly rational rules. We also find women in the Luteal and Menstrual phases of their menstrual cycle bid less aggressively, in terms of surplus demanded, when following the best response rule. This combined with spending more time following simple rules of thumbs explains gender differences in earnings.

Suggested Citation

  • Shachat, Jason & Wei, Lijia, 2013. "Discrete Rule Learning and the Bidding of the Sexes," MPRA Paper 47953, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:47953
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    References listed on IDEAS

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    1. Mark Isaac & Svetlana Pevnitskaya & Kurt S. Schnier, 2012. "Individual Behavior And Bidding Heterogeneity In Sealed Bid Auctions Where The Number Of Bidders Is Unknown," Economic Inquiry, Western Economic Association International, vol. 50(2), pages 516-533, April.
    2. Pearson, Matthew & Schipper, Burkhard C., 2013. "Menstrual cycle and competitive bidding," Games and Economic Behavior, Elsevier, vol. 78(C), pages 1-20.
    3. Jason Shachat & Lijia Wei, 2012. "Procuring Commodities: First-Price Sealed-Bid or English Auctions?," Marketing Science, INFORMS, vol. 31(2), pages 317-333, March.
    4. Marco Casari & John C. Ham & John H. Kagel, 2007. "Selection Bias, Demographic Effects, and Ability Effects in Common Value Auction Experiments," American Economic Review, American Economic Association, vol. 97(4), pages 1278-1304, September.
    5. McKelvey Richard D. & Palfrey Thomas R., 1995. "Quantal Response Equilibria for Normal Form Games," Games and Economic Behavior, Elsevier, vol. 10(1), pages 6-38, July.
    6. Oaxaca, Ronald, 1973. "Male-Female Wage Differentials in Urban Labor Markets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(3), pages 693-709, October.
    7. Kagel, John H & Levin, Dan, 1993. "Independent Private Value Auctions: Bidder Behaviour in First-, Second- and Third-Price Auctions with Varying Numbers of Bidders," Economic Journal, Royal Economic Society, vol. 103(419), pages 868-879, July.
    8. Alan S. Blinder, 1973. "Wage Discrimination: Reduced Form and Structural Estimates," Journal of Human Resources, University of Wisconsin Press, vol. 8(4), pages 436-455.
    9. David Gill & Victoria Prowse, 2014. "Gender differences and dynamics in competition: The role of luck," Quantitative Economics, Econometric Society, vol. 5, pages 351-376, July.
    10. Burkhard C. Schipper, 2015. "Sex Hormones and Competitive Bidding," Management Science, INFORMS, vol. 61(2), pages 249-266, February.
    11. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer;Economic Science Association, vol. 10(2), pages 171-178, June.
    12. Vincent P. Crawford & Nagore Iriberri, 2007. "Level-k Auctions: Can a Nonequilibrium Model of Strategic Thinking Explain the Winner's Curse and Overbidding in Private-Value Auctions?," Econometrica, Econometric Society, vol. 75(6), pages 1721-1770, November.
    13. Goeree, Jacob K. & Holt, Charles A. & Palfrey, Thomas R., 2002. "Quantal Response Equilibrium and Overbidding in Private-Value Auctions," Journal of Economic Theory, Elsevier, vol. 104(1), pages 247-272, May.
    14. John Geweke, 1991. "Evaluating the accuracy of sampling-based approaches to the calculation of posterior moments," Staff Report 148, Federal Reserve Bank of Minneapolis.
    15. Neugebauer, Tibor & Selten, Reinhard, 2006. "Individual behavior of first-price auctions: The importance of information feedback in computerized experimental markets," Games and Economic Behavior, Elsevier, vol. 54(1), pages 183-204, January.
    16. Oliver Kirchkamp & J. Philipp Reiß, 2008. "Heterogeneous bids in auctions with rational and markdown bidders - Theory and Experiment," Jena Economics Research Papers 2008-066, Friedrich-Schiller-University Jena.
    17. Filardo, Andrew J. & Gordon, Stephen F., 1998. "Business cycle durations," Journal of Econometrics, Elsevier, vol. 85(1), pages 99-123, July.
    18. Werner G¸th & Radosveta Ivanova-Stenzel & Manfred K–nigstein & Martin Strobel, 2003. "Learning to bid - an experimental study of bid function adjustments in auctions and fair division games," Economic Journal, Royal Economic Society, vol. 113(487), pages 477-494, April.
    19. Chen, Yan & Katuščák, Peter & Ozdenoren, Emre, 2013. "Why canʼt a woman bid more like a man?," Games and Economic Behavior, Elsevier, vol. 77(1), pages 181-213.
    20. Erev, Ido & Roth, Alvin E, 1998. "Predicting How People Play Games: Reinforcement Learning in Experimental Games with Unique, Mixed Strategy Equilibria," American Economic Review, American Economic Association, vol. 88(4), pages 848-881, September.
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    More about this item

    Keywords

    private value auction; discrete heterogeneity; learning; gender difference; hidden Markov model; laboratory experiment;
    All these keywords.

    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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