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Numerical Solutions of Asymmetric, First-Price, Independent Private Values Auctions

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  • Wayne-Roy Gayle
  • Jean Richard
Abstract
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  • Wayne-Roy Gayle & Jean Richard, 2008. "Numerical Solutions of Asymmetric, First-Price, Independent Private Values Auctions," Computational Economics, Springer;Society for Computational Economics, vol. 32(3), pages 245-278, October.
    • Handle: RePEc:kap:compec:v:32:y:2008:i:3:p:245-278
    DOI: 10.1007/s10614-008-9125-7
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    References listed on IDEAS

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    1. Patrick Bajari, 2001. "Comparing competition and collusion: a numerical approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 18(1), pages 187-205.
    2. Marshall Robert C. & Meurer Michael J. & Richard Jean-Francois & Stromquist Walter, 1994. "Numerical Analysis of Asymmetric First Price Auctions," Games and Economic Behavior, Elsevier, vol. 7(2), pages 193-220, September.
    3. Eric Maskin & John Riley, 2000. "Equilibrium in Sealed High Bid Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(3), pages 439-454.
    4. Marshall, Robert C. & Marx, Leslie M., 2007. "Bidder collusion," Journal of Economic Theory, Elsevier, vol. 133(1), pages 374-402, March.
    5. Riley, John G & Samuelson, William F, 1981. "Optimal Auctions," American Economic Review, American Economic Association, vol. 71(3), pages 381-392, June.
    6. Donald, Stephen G. & Paarsch, Harry J., 1996. "Identification, Estimation, and Testing in Parametric Empirical Models of Auctions within the Independent Private Values Paradigm," Econometric Theory, Cambridge University Press, vol. 12(3), pages 517-567, August.
    7. Matthews, Steven A., 1983. "Selling to risk averse buyers with unobservable tastes," Journal of Economic Theory, Elsevier, vol. 30(2), pages 370-400, August.
    8. Lebrun, Bernard, 1996. "Existence of an Equilibrium in First Price Auctions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(3), pages 421-443, April.
    9. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November.
    10. Laffont, Jean-Jacques & Ossard, Herve & Vuong, Quang, 1995. "Econometrics of First-Price Auctions," Econometrica, Econometric Society, vol. 63(4), pages 953-980, July.
    11. Lebrun, Bernard, 2006. "Uniqueness of the equilibrium in first-price auctions," Games and Economic Behavior, Elsevier, vol. 55(1), pages 131-151, April.
    12. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    13. Lebrun, Bernard, 1999. "First Price Auctions in the Asymmetric N Bidder Case," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(1), pages 125-142, February.
    14. Athey, Susan, 2001. "Single Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information," Econometrica, Econometric Society, vol. 69(4), pages 861-889, July.
    15. Florens, F. & Protopopescu, C. & Richard, J.-F., 1998. "Identification and Estimation of a Game Theoretic Models," Papers 98.499, Toulouse - GREMAQ.
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    Citations

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    Cited by:

    1. Fibich, Gadi & Gavish, Nir, 2011. "Numerical simulations of asymmetric first-price auctions," Games and Economic Behavior, Elsevier, vol. 73(2), pages 479-495.
    2. Zhu Mingxi & Song Michelle, 2024. "Design Information Disclosure under Bidder Heterogeneity in Online Advertising Auctions: Implications of Bid-Adherence Behavior," Papers 2410.05535, arXiv.org.
    3. Doni Nicola & Menicucci Domenico, 2013. "Revenue Comparison in Asymmetric Auctions with Discrete Valuations," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 13(1), pages 429-461, September.
    4. Rieck, Thomas, 2010. "Signaling in First-Price Auctions," Bonn Econ Discussion Papers 18/2010, University of Bonn, Bonn Graduate School of Economics (BGSE).
    5. Ceesay Muhammed, 2024. "Collusion with Not-So-Secret Rings," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 22(2), pages 563-570, June.
    6. Lagerlof, Johan, 2012. "Does Cost Uncertainty in the Bertrand Model Soften Competition?," CEPR Discussion Papers 8817, C.E.P.R. Discussion Papers.
    7. Lorentziadis, Panos L., 2020. "Competitive bidding in asymmetric multidimensional public procurement," European Journal of Operational Research, Elsevier, vol. 282(1), pages 211-220.
    8. Aryal, Gaurab & Gabrielli, Maria F., 2013. "Testing for collusion in asymmetric first-price auctions," International Journal of Industrial Organization, Elsevier, vol. 31(1), pages 26-35.
    9. Kirkegaard, René, 2014. "Ranking asymmetric auctions: Filling the gap between a distributional shift and stretch," Games and Economic Behavior, Elsevier, vol. 85(C), pages 60-69.
    10. Kirkegaard, René, 2009. "Asymmetric first price auctions," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1617-1635, July.
    11. Muhammad Ejaz & Stephen Joe & Chaitanya Joshi, 2021. "Adversarial Risk Analysis for Auctions Using Mirror Equilibrium and Bayes Nash Equilibrium," Decision Analysis, INFORMS, vol. 18(3), pages 185-202, September.
    12. Kotowski, Maciej H., 2018. "On asymmetric reserve prices," Theoretical Economics, Econometric Society, vol. 13(1), January.
    13. Hu Fu & Tao Lin, 2020. "Learning Utilities and Equilibria in Non-Truthful Auctions," Papers 2007.01722, arXiv.org, revised Oct 2022.
    14. Javier Castro & Rosa Espínola & Inmaculada Gutiérrez & Daniel Gómez, 2023. "Auctions: A New Method for Selling Objects with Bimodal Density Functions," Computational Economics, Springer;Society for Computational Economics, vol. 61(4), pages 1707-1743, April.
    15. Gadi Fibich & Nir Gavish, 2012. "Asymmetric First-Price Auctions---A Dynamical-Systems Approach," Mathematics of Operations Research, INFORMS, vol. 37(2), pages 219-243, May.
    16. Giuseppe Lopomo & Leslie Marx & Peng Sun, 2011. "Bidder collusion at first-price auctions," Review of Economic Design, Springer;Society for Economic Design, vol. 15(3), pages 177-211, September.
    17. Wayne-Roy Gayle & Robert Marshall & Leslie Marx & Jean-François Richard, 2011. "Coordinated Effects in the 2010 Horizontal Merger Guidelines," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 39(1), pages 39-56, August.
    18. Arieh Gavious & Yizhaq Minchuk, 2014. "Ranking asymmetric auctions," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(2), pages 369-393, May.
    19. Timothy Hubbard & René Kirkegaard & Harry Paarsch, 2013. "Using Economic Theory to Guide Numerical Analysis: Solving for Equilibria in Models of Asymmetric First-Price Auctions," Computational Economics, Springer;Society for Computational Economics, vol. 42(2), pages 241-266, August.
    20. Josheski Dushko & Apostolov Mico, 2023. "The Prospect Theory and First Price Auctions: an Explanation of Overbidding," Econometrics. Advances in Applied Data Analysis, Sciendo, vol. 27(1), pages 33-74, March.
    21. Zincenko, Federico, 2024. "Estimation and inference of seller’s expected revenue in first-price auctions," Journal of Econometrics, Elsevier, vol. 241(1).

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