PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
2023 | 27 | nr 1 | 33--74
Tytuł artykułu

The Prospect Theory and First Price Auctions: an Explanation of Overbidding

Warianty tytułu
Teoria perspektywy i aukcje pierwszej ceny: wyjaśnienie przebijania
Języki publikacji
EN
Abstrakty
EN
This paper attempted using the prospect theory to explain overbidding in first price auctions. The standard outlook in the literature on auctions is that bidders overbid, but the probability weighting functions are nonlinear as in the prospect theory, so they not only tend to underweight the probabilities of winning the auction but also overweight, so that there are overbidders and underbidders. This paper proves that to some extent, non-linear weighting functions do explain overbidding the risk-neutral Nash equilibrium valuation (RNNE). Furthermore, coherent risk measures, such as certainty equivalent and translation invariance, were used to show loss aversion among bidders, and in line with the prospect theory, convexity was also confirmed with sub-additivity, monotonicity and with positive homogeneity.(original abstract)
W artykule podjęto próbę wykorzystania teorii perspektywy do wyjaśnienia przebijania cen w przetargach pierwszej ceny. Standardowym wynikiem w literaturze związanej z aukcjami jest to, że licytanci przebijają ceny, ale funkcje ważenia prawdopodobieństwa są nieliniowe, jak w teorii perspektywy, więc nie tylko mają tendencję do zaniżania wagi prawdopodobieństw wygrania aukcji, ale także przeważania, tak że są licytanci przebijający i oferenci słabsi. Artykuł ten dowodzi, że do pewnego stopnia nieliniowe funkcje ważenia wyjaśniają zawyżanie neutralnej pod względem ryzyka wyceny równowagi Nasha (RNNE). Ponadto zastosowano spójne miary ryzyka, takie jak ekwiwalent pewności i niezmienniczość translacji, aby wykazać awersję do strat wśród oferentów zgodnie z teorią perspektywy, wypukłość została również potwierdzona subaddytywnością, monotonicznością i dodatnią jednorodnością.(abstrakt oryginalny)
Rocznik
Tom
27
Numer
Strony
33--74
Opis fizyczny
Twórcy
  • Business Administration, University Goce Delchev, Stip, Macedonia
  • Business Administration, University Goce Delchev, Stip, Macedonia
Bibliografia
  • Allais, M. (1953). Le comportement de l'homme rationnel devant le risque: critique des postulats et axiomes de l'école Américaine. Econometrica, 21(4), 503-546.
  • Allen, R. G. D. (1938). Mathematical analysis for economists. Macmillan.
  • Amparo, G., Segura, J., & Temme, N. (2007). Numerical methods for special functions. Society for Industrial and Applied Mathematics. ISBN 978-0-89871-634-4
  • Armantier, O., & Treich, N. (2009a). Star-shaped probability weighting functions and overbidding in first-price auctions. Economic Letters, 104, 83-85.
  • Armantier, O., & Treich, N., (2009b). Subjective probabilities in games: an application to the overbidding puzzle. International Economic Review, 50 (4), pp.1079-1102.
  • Artzner, P., Delbaen, F., Eber, J. M., & Heath, D. (1999). Coherent measures of risk. Mathematical Finance, 9, 203-228.
  • Aster, R., Borchers, B., & Thurber, C. (2005). Parameter estimation and inverse problems. Elsevier Academic Press.
  • Athey, S. (2001). Single crossing properties and the existence of pure strategy equilibria in games of incomplete information. Econometrica, 69, 861-889.
  • Bali, T. G., Cakici, N., & Whitelaw, R. F. (2011). Maxing out: stocks as lotteries and the cross-section of expected returns. Journal of Financial Economics, 99(2), 427-246.
  • Barberis, N. C. (2013). Thirty years of prospect theory in economics: a review and assessment. Journal of Economic Perspectives, 27, 173-196. https://doi.org/10.1257/jep.27.1.173
  • Barberis, N., & Huang, M. (2008). Stocks as lotteries: the implications of probability weighting for security prices. American Economic Review, 98(5), 2066-2100.
  • Barberis, N., Huang, M., & Santos, T., (2001), Prospect theory and asset prices. The Quarterly Journal of Economics, 116(1), 1-53.
  • Bateman, I. J., & Willis, K. G. (2003). Valuing environmental preferences. theory and practice of the contingent valuation method in the US, EU, and developing countries. Oxford University Press.
  • Boyer, B., Mitton, T., & Vorkink, K. (2010). Expected idiosyncratic skewness. Review of Financial Studies, 23(1), 169-202.
  • Chateauneuf A., & Wakker, P. (1999). An axiomatization of cumulative prospect theory for decision under risk. Journal of Risk and Uncertainty, 18(2), 137-145.
  • Coursey, D. L., Hovis, J. L., & Schulze, W. D. (1987). The disparity between willingness to accept and willingness to pay measures of value. The Quarterly Journal of Economics, 102, 679-690.
  • Cox, J. C., Smith, V. L., & Walker, J. M. (1982), Auction market theory of heterogeneous bidders. Economics Letters, 9(4), 319-325.
  • Cox, J. C., Smith, V. L., & Walker, J. M. (1983a), A test that discriminates between two models of the dutch-first auction non-isomorphism. Journal of Economic Behavior & Organization, 4(2), 205-19.
  • Cox, J. C., Smith, V. L., & Walker, J. M. (1983b). Tests of a heterogeneous bidders theory of first price auctions. Economics Letters, 12(3), 207-212.
  • Cox, J. C., Smith, V. L., & Walker, J. M. (1984). Theory and behavior of multiple unit discriminative auctions. Journal of Finance, 39(4), 983-1010.
  • Cox, J. C., Smith, V. L., & Walker, J. M. (1985). Experimental development of sealed-bid auction theory; calibrating controls for risk aversion. American Economic Review, 75(2), 160-165.
  • Cox, J. C., Smith, V. L., &. Walker, J. M. (1988). Theory and individual behavior of first-price auctions. Journal of Risk and Uncertainty, 1, 61-99.
  • Currim, I. S., & Sarin, R. K. (1989). Prospect versus utility. Management Science, 35, 22-41.
  • Diewert, W. E. (1974). A note on aggregation and elasticities of substitution. Canadian Journal of Economics, 7, 12-20.
  • Dorsey, R., & Razzolini, L. (2003). Explaining overbidding in first price auctions using controlled lotteries. Experimental Economics, 6, 123-140.
  • Fama, E. F., & French, K. R. (1992). The cross-section of expected stock returns. The Journal of Finance, 47(2), 427-465.
  • Fama, E. F., & MacBeth, J. D. (1973). Risk, return, and equilibrium: empirical tests. Journal of Political Economy, 81(3), 607-636.
  • Fama, E., & French, R. K. (2004). The capital asset pricing model: theory and evidence. Journal of Economic Perspectives, 18(3), 25-46.
  • Fibich, G., & Gavish, N. (2011). Numerical simulations of asymmetric first-price auctions. Games and Economic Behavior, 73(2), 479-495.
  • Fox, C. R., & Tversky, A. (1998). A belief-based account of decision under uncertainty. Management Sci., 44, 879-895.
  • Fox, C. R., Rogers, B. A., & Tversky, A. (1996). Option traders exhibit sub-additive decision weights. Journal of Risk and Uncertainty, 13(1), 5-17.
  • Frittelli, M., & Gianin, E. R. (2002). Putting order in risk measures. Journal of Banking and Finance, 26, 1473-1486.
  • Gayle, W.-R., & Richard J. F. (2008). Numerical solutions of asymmetric, first-price, independent private values auctions. Computational Economics, 32(3), 245-278.
  • Gemignani, M. C. (1990). Elementary topology. Dover.
  • Gibbons, M. R. (1982). Multivariate tests of financial models: a new approach. Journal of Financial Economics, 10(1), 3-27.
  • Goeree, K. J., Holt, A. C., & Palfrey, R. T. (2002). Quantal response equilibrium and overbidding in private-value auctions. Journal of Economic Theory Volume, 104(1), 247-272.
  • Gonzalez, R., Wu, G. (1999). On the shape of the probability weighting function. Cognitive Psychology, 38, 129-166.
  • Green, T. C., & Hwang, B. H. (2012). Initial public offerings as lotteries: skewness preference and first- -day returns. Management Science, 58(2), 432-444.
  • Hanemann, W. M. (1991). Willingness to pay and willingness to accept: how much can they differ? American Economic Review, 81, 635-647.
  • Harrison, G. W. (1989). Theory and misbehavior of first-price auctions. American Economic Review, 79, 749-762.
  • Hicks, J. R. (1939). Value and capital: an inquiry into some fundamental principles of economic theory. Clarendon Press.
  • Hicks, J. R., & Allen, R. G. D. (1934a). A reconsideration of the theory of value. Part I. Economica, 1(1), 52. https//doi.org/10.2307/2548574
  • Hicks, J. R., & Allen, R. G. D. (1934b). A reconsideration of the theory of value. Part II. A Mathematical theory of individual demand functions. Economica, 1(2).
  • Horowitz, J. K., & McConnell, K. (2003). Willingness to accept, willingness to pay and the income effect. Journal of Economic Behavior & Organization, 51(4), 537-545.
  • Horowitz, J. K., & McConnell, K. E. (2002). A review of WTA/WTP studies. Journal of Environmental Economics and Management, 44, 426-447.
  • Ingersoll, E. J., (1987). Theory of financial decision making. Rowman and Littlefield.
  • Kagel, J. H., & Roth, A. E. (1992). Theory and misbehavior of first-price auctions: comment. The American Economic Review, 82, 1379-1391.
  • Kagel, J., & Levin, D. (2002). Bidding in Common-Value Auctions: A Survey of Experimental Research. In Common value auctions and the winner's curse, 1, 1-84.
  • Kagel, J., & Levin, D. (2016). Auctions: A survey of experimental research, 1995-2010. In A. Roth, J. Kagel (Eds.), The handbook of experimental economics, Vol. 2. Princeton University Press.
  • Kahneman, D., Knetsch, J. L., & Thaler, R. H. (1991). Anomalies: the endowment effect, loss aversion, and status quo bias. The Journal of Economic Perspectives, 5(1), 193-206
  • Kahneman, D., & Tversky, A. (1979). Prospect theory: an analysis of decision under risk. Econometrica, 47(2), 263-291.
  • Keskin, K. (2001). First price auctions under prospect theory with linear probability weighting. Department of Economics, Bilkent University.
  • Keskin, K. (2015). Inverse S-shaped probability weighting functions in first-price sealed-bid auctions. Review of Economic Design, 20(1), 57-67.
  • Kestelman, H. (1960). Lebesgue measure. Ch. 3 in Modern theories of integration, 2nd rev. ed. Dover.
  • Kilka, M., & Weber, M. (2001). What determines the shape of the probability weighting function under uncertainty? Management Science, 47(12), 1712-1726.
  • Kirchkamp, O., & Reiss, J. (2004). The overbidding-myth and the underbidding-bias in first-price auctions. Sonderforschungsbereich.
  • Kirkegaard, R. (2009). Asymmetric first price auctions. Journal of Economic Theory, 144(4), 1617- -1635.
  • Knez, P., Smith, V., & Williams, A. W. (1985). Individual rationality, market rationality, and value estimation. American Economic Review, 75, 397-402.
  • Kőszegi, B., & Rabin, M. (2006). A model of reference-dependent preferences. Quarterly Journal of Economics, 121(4), 1133-1165.
  • Kőszegi, B., & Rabin, M. (2007). Reference-dependent risk attitudes. American Economic Review, 97(4), 1047-1073.
  • Kőszegi, B., & Rabin, M. (2009). Reference-dependent consumption plans. American Economic Review, 99(3), 909-936.
  • Krishna, V. (2010). Auction theory. Academic Press, 2nd edition.
  • Lange, A., & Ratan, A. (2010). Multi-dimensional reference-dependent preferences in sealed-bid auctions - how (most) laboratory experiments differ from the field. Games and Economic Behavior, 68, 634-645.
  • Lebrun, B. (1996). Existence of an equilibrium in first price auctions. Economic Theory, 7, 421-443.
  • Levy, H. (1998). Stochastic dominance: investment decision making under uncertainty. Kluwer Academic Publishers.
  • Lintner, J. (1965). The valuation of risky assets and the selection of risky investments in stock portfolios and capital budgets. Review of Economics and Statistics, 47, 13-37.
  • Lucas, R. (1978). Asset prices in an exchange economy. Econometrica, 46, 1419-1446.
  • Maskin, E., & Riley, J. (2000). Asymmetric auctions. The Review of Economic Studies, 67(3), 413-438.
  • McAdams, D. (2003). Isotone equilibrium in games of incomplete information. Econometrica, 71, 1191-1214.
  • Meucci, A. (2005). Risk and asset allocation. Springer Finance Textbooks.
  • Munkres, J. R. (2000). Topology: a first course. 2nd ed. NJ: Prentice-Hall.
  • Pitcher, C. A. (2008). Investigation of a behavioural model for financial decision making. Magdalen College, University of Oxford.
  • Prelec, D. (1998). The probability weighting function. Econometrica, 66, 497-527.
  • Ratan, A. (2009). Reference-dependent preferences in first price auctions. Working Paper, University of Maryland.
  • Reny, P. J. (2011). On the existence of monotone pure strategy equilibria in Bayesian games. Econometrica, 79(2), 499-553.
  • Roll, P. (1977). A critique of the asset pricing theory's tests Part I: On past and potential testability of the theory. Journal of Financial Economics, 4(2), 129-176.
  • Scales, L. E. (1985). Introduction to nonlinear optimization. MacMillan Publishers Ltd.
  • Sharpe, W. F. (1964). Capital asset prices: a theory of market equilibrium under conditions of risk. Journal of Finance, 19, 425-442.
  • Stambaugh, R. F. (1982). On the exclusion of assets from tests of the two-parameter model: a sensitivity analysis. Journal of Financial Economics, 10(3), 237-268.
  • Sugden, R. (1999). Alternatives to the neoclassical theory of choice. In I. Bateman, K.G. Willis (Eds.), Valuing environmental preferences. Theory and the practice of contingent valuation method in US, EU and Developing countries.
  • Thaler, R. H., & Johnson, E. J. (1990). Gambling with the house money and trying to break even: the effects of prior outcomes on risky choice. Management Science, 36, 643
  • Tversky, A., & Fox, C. R. (1995). Weighing risk and uncertainty. Psychological Review, 102(2), 269- -283.
  • Tversky, A., & Kahneman, D. (1991). Loss aversion in riskless choice: a reference dependent model. The Quarterly Journal of Economics, 106(4), 1039-1061.
  • Tversky, A., & Kahneman, D. (1992). Advances in prospect theory: cumulative representation of uncertainty. Journal of Risk and Uncertainty, 5, 297-323.
  • Tversky, A., & Koehler, D. J. (1994). Support theory: a nonextensional representation of subjective probability. Psychological Review, 101, 547-567.
  • Uzawa, H. (1962). Production functions with constant elasticities of substitution. The Review of Economic Studies, 29(4).
  • Vickrey, W. (1961). Counter-speculation, auctions, and competitive sealed tenders. The Journal of Finance, 16(1), 8-37.
  • Vickrey, W. (1962). Auction and bidding games. In Recent advances in game theory. Princeton, NJ: The Princeton University Conference, 15-27.
  • Wakker, P. (2001). On the composition of risk preference and belief. Working Paper, University of Amsterdam.
  • Wakker, P. (2010). Prospect theory: for risk and ambiguity. Cambridge University Press.
  • Wakker, P., & Tversky, A. (1993). An axiomatization of cumulative prospect theory. Journal of Risk and Uncertainty, 7(7), 147-176.
  • Yamai, Y., & Yoshiba, T. (2002). Comparative analyses of expected shortfall and value-at-risk (2): Expected utility maximization and tail risk. Monetary and Economic Studies.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171667981

Zgłoszenie zostało wysłane

Zgłoszenie zostało wysłane

Musisz być zalogowany aby pisać komentarze.
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.