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Comparative study of one-bid versus two-bid auctions

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  • Ivanova-Stenzel, Radosveta
  • Sonsino, Doron

Abstract

We compare the standard one-bid first price auction to a corresponding two-bid first price auction where each buyer may place two bids: a high bid and a low one and the winner pays his low bid if this was higher than all other bids. We characterize the equilibria of the two mechanisms and prove some results on the ranking of revenues and expected utilities across the two mechanisms for the symmetric case. We show that subjects in a computerized experiment prefer the two-bid auction over the one-bid auction when given the possibility of choosing among the two and we claim that this and other aspects of subjects' behavior conform to the equilibrium predictions for risk-averse subjects. We also report some discrepancies between the experimental results and the equilibrium predictions and provide some alternative explanations to the observed behavior.
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  • Ivanova-Stenzel, Radosveta & Sonsino, Doron, 2004. "Comparative study of one-bid versus two-bid auctions," Journal of Economic Behavior & Organization, Elsevier, vol. 54(4), pages 561-583, August.
  • Handle: RePEc:eee:jeborg:v:54:y:2004:i:4:p:561-583
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    Cited by:

    1. Kirchkamp, Oliver & Reiß, J. Philipp, 2004. "The overbidding-myth and the underbidding-bias in first-price auctions," Sonderforschungsbereich 504 Publications 04-32, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
    2. Andreas Roider & Patrick W. Schmitz, 2012. "Auctions with Anticipated Emotions: Overbidding, Underbidding, and Optimal Reserve Prices," Scandinavian Journal of Economics, Wiley Blackwell, vol. 114(3), pages 808-830, September.
    3. Radosveta Ivanova-Stenzel & Timothy C. Salmon, 2004. "Bidder Preferences among Auction Institutions," Economic Inquiry, Western Economic Association International, vol. 42(2), pages 223-236, April.
    4. Rapoport, Amnon & Otsubo, Hironori & Kim, Bora & Stein, William E., 2007. "Unique bid auctions: Equilibrium solutions and experimental evidence," MPRA Paper 4185, University Library of Munich, Germany, revised 17 Jul 2007.
    5. Oliver Kirchkamp & J. Philipp Reiß, 2019. "Heterogeneous bids in auctions with rational and boundedly rational bidders: theory and experiment," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(4), pages 1001-1031, December.
    6. McGee, Peter, 2013. "Bidding in private-value auctions with uncertain values," Games and Economic Behavior, Elsevier, vol. 82(C), pages 312-326.
    7. Doron Sonsino & Radosveta Ivanova-Stenzel, 2006. "Experimental internet auctions with random information retrieval," Experimental Economics, Springer;Economic Science Association, vol. 9(4), pages 323-341, December.
    8. Ferona, Angeliki & Tsionas, Efthymios G., 2012. "Measurement of excess bidding in auctions," Economics Letters, Elsevier, vol. 116(3), pages 377-380.
    9. Ahmad, Husnain Fateh, 2015. "Endogenous price expectations as reference points in auctions," Journal of Economic Behavior & Organization, Elsevier, vol. 112(C), pages 46-63.
    10. Ziyi Tan & Shulin Liu, 2022. "The Generalized First- and Second-Price Auctions: Overbidding, Underbidding, and Optimal Reserve Price," Mathematics, MDPI, vol. 10(3), pages 1-15, January.

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    More about this item

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior

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