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Theory and Individual Behavior of First-Price Auctions

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  • Cox, James C
  • Smith, Vernon L
  • Walker, James M

Abstract

First-price auction theory is extended to the case of heterogeneous bidders characterized by M-parameter log-concave utility functions. This model, and its specific two-parameter constant relative risk averse special case, is generally supported by the results of 47 experiments. The one-parameter special case that comprises most of the theoretical literature is not supported by the experiments. One anomaly for the two-parameter model is that too many of the subjects exhibit positive (or negative) intercepts in their linear estimated bid functions. Accordingly, we develop a specific three-parameter model, which introduces a utility of winning, and a threshold utility of surplus. The new model, tested directly by introducing lump-sum payments or charges for winning, is not falsified by the new experiments. Copyright 1988 by Kluwer Academic Publishers

Suggested Citation

  • Cox, James C & Smith, Vernon L & Walker, James M, 1988. "Theory and Individual Behavior of First-Price Auctions," Journal of Risk and Uncertainty, Springer, vol. 1(1), pages 61-99, March.
  • Handle: RePEc:kap:jrisku:v:1:y:1988:i:1:p:61-99
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    1. Segal, Uzi, 1987. "The Ellsberg Paradox and Risk Aversion: An Anticipated Utility Approach," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 28(1), pages 175-202, February.
    2. Chew, Soo Hong, 1983. "A Generalization of the Quasilinear Mean with Applications to the Measurement of Income Inequality and Decision Theory Resolving the Allais Paradox," Econometrica, Econometric Society, vol. 51(4), pages 1065-1092, July.
    3. Gilboa Itzhak & Schmeidler David, 1993. "Updating Ambiguous Beliefs," Journal of Economic Theory, Elsevier, vol. 59(1), pages 33-49, February.
    4. Knetsch, Jack L, 1989. "The Endowment Effect and Evidence of Nonreversible Indifference Curves," American Economic Review, American Economic Association, vol. 79(5), pages 1277-1284, December.
    5. Hong, Chew Soo & Karni, Edi & Safra, Zvi, 1987. "Risk aversion in the theory of expected utility with rank dependent probabilities," Journal of Economic Theory, Elsevier, vol. 42(2), pages 370-381, August.
    6. Milgrom, Paul & Stokey, Nancy, 1982. "Information, trade and common knowledge," Journal of Economic Theory, Elsevier, vol. 26(1), pages 17-27, February.
    7. Luce, R Duncan, 1988. "Rank-Dependent, Subjective Expected-Utility Representations," Journal of Risk and Uncertainty, Springer, vol. 1(3), pages 305-332, September.
    8. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    9. Wakker, Peter, 1989. "Continuous subjective expected utility with non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 18(1), pages 1-27, February.
    10. Roger Sherman, 1974. "The Psychological Difference Between Ambiguity and Risk," The Quarterly Journal of Economics, Oxford University Press, vol. 88(1), pages 166-169.
    11. Harry V. Roberts, 1963. "Risk, Ambiguity, and the Savage Axioms: Comment," The Quarterly Journal of Economics, Oxford University Press, vol. 77(2), pages 327-336.
    12. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    13. Machina, Mark J & Schmeidler, David, 1992. "A More Robust Definition of Subjective Probability," Econometrica, Econometric Society, vol. 60(4), pages 745-780, July.
    14. Nakamura, Yutaka, 1990. "Subjective expected utility with non-additive probabilities on finite state spaces," Journal of Economic Theory, Elsevier, vol. 51(2), pages 346-366, August.
    15. Keim, Donald B., 1983. "Size-related anomalies and stock return seasonality : Further empirical evidence," Journal of Financial Economics, Elsevier, vol. 12(1), pages 13-32, June.
    16. repec:sbe:breart:v:11:y:1991:i:1:a:3007 is not listed on IDEAS
    17. Dow, James & Werlang, Sérgio Ribeiro da Costa, 1988. "Uncertainty aversion and the optmal choice of portfolio," FGV/EPGE Economics Working Papers (Ensaios Economicos da EPGE) 115, FGV/EPGE - Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
    18. Green, Jerry R & Jullien, Bruno, 1988. "Ordinal Independence in Nonlinear Utility Theory," Journal of Risk and Uncertainty, Springer, vol. 1(4), pages 355-387, December.
    19. Samuelson, William & Zeckhauser, Richard, 1988. "Status Quo Bias in Decision Making," Journal of Risk and Uncertainty, Springer, vol. 1(1), pages 7-59, March.
    20. Howard Raiffa, 1961. "Risk, Ambiguity, and the Savage Axioms: Comment," The Quarterly Journal of Economics, Oxford University Press, vol. 75(4), pages 690-694.
    21. Gilboa, Itzhak, 1987. "Expected utility with purely subjective non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 65-88, February.
    22. Einhorn, Hillel J & Hogarth, Robin M, 1986. "Decision Making under Ambiguity," The Journal of Business, University of Chicago Press, vol. 59(4), pages 225-250, October.
    23. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    24. Hogarth, Robin M & Kunreuther, Howard, 1989. "Risk, Ambiguity, and Insurance," Journal of Risk and Uncertainty, Springer, vol. 2(1), pages 5-35, April.
    25. Simonsen, Mario Henrique & Werlang, Sérgio Ribeiro da Costa, 1991. "Subadditive Probabilities and Portfolio Inertia," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 11(1), April.
    26. Camerer, Colin & Kunreuther, Howard, 1989. "Experimental Markets for Insurance," Journal of Risk and Uncertainty, Springer, vol. 2(3), pages 265-299, September.
    27. Machina, Mark J, 1987. "Choice under Uncertainty: Problems Solved and Unsolved," Journal of Economic Perspectives, American Economic Association, vol. 1(1), pages 121-154, Summer.
    28. Luce, R Duncan & Fishburn, Peter C, 1991. "Rank- and Sign-Dependent Linear Utility Models for Finite First-Order Gambles," Journal of Risk and Uncertainty, Springer, vol. 4(1), pages 29-59, January.
    29. Graham Loomes & Robert Sugden, 1986. "Disappointment and Dynamic Consistency in Choice under Uncertainty," Review of Economic Studies, Oxford University Press, vol. 53(2), pages 271-282.
    30. Kahn, Barbara E & Sarin, Rakesh K, 1988. " Modeling Ambiguity in Decisions under Uncertainty," Journal of Consumer Research, Oxford University Press, vol. 15(2), pages 265-272, September.
    31. Carl S. Spetzler & Carl-Axel S. Staël Von Holstein, 1975. "Exceptional Paper--Probability Encoding in Decision Analysis," Management Science, INFORMS, vol. 22(3), pages 340-358, November.
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