This paper describes strategic behavior in a nonequilibrium model of asset pricing with heterogeneous sophistication. Both risk and return are increasing in the na?veté of investors in the market. Optimal investment involves in considering the effect that na?e investors have on the market. Further, we derive a simple characterization of the asset price dynamics that results from an arbitrary combination of a countably infinite set of investor types.
References
[1]
R. Nagel, “Unraveling in Guessing Games: An Experimental Study,” American Economic Review, Vol. 85, No. 5, 1995, pp. 1313-1326.
[2]
A. Bosch-Domènech, J. G. Montalvo, R. Nagel and A. Satorra, “One, Two, (Three), Infinity, …: Newspaper and Lab Beauty-Contest Experiments,” American Economic Review, Vol. 92, No. 5, 2002, pp. 1687-1701. http://dx.doi.org/10.1257/000282802762024737
[3]
D. O. Stahl and P. W. Wilson, “Experimental Evidence on Players’ Models of Other Players,” Journal of Economic Behavior & Organization, Vol. 25, No. 3, 1994, pp. 309-327. http://dx.doi.org/10.1016/0167-2681(94)90103-1
[4]
D. O. Stahl and P. W. Wilson, “On Players’ Models of Other Players: Theory and Evidence,” Games and Economic Behavior, Vol. 10, No. 1, 1995, pp. 218-254. http://dx.doi.org/10.1006/game.1995.1031
[5]
G. Bergman, “Isms,” Adams Media, New York, 2006.
[6]
C.-H. Park and S. H. Irwin, “What Do We Know about the Profitability of Technical Analysis?” Journal of Economic Surveys, Vol. 21, No. 4, 2007, pp. 786-826. http://dx.doi.org/10.1111/j.1467-6419.2007.00519.x
[7]
L. Menkhoff and M. P. Taylor, “The Obstinate Passion of Foreign Exchange Professional: Technical Analysis,” Journal of Economic Literature, Vol. 45, No. 4, 2007, pp. 936-972. http://dx.doi.org/10.1257/jel.45.4.936
[8]
M. P. Taylor and H. Allen, “The Use of Technical Analysis in the Foreign Exchange Market,” Journal of International Money and Finance, Vol. 1, No. 3, 1992, pp. 304-314. http://dx.doi.org/10.1016/0261-5606(92)90048-3
[9]
W. A. Brock and C. H. Hommes, “Heterogeneous Beliefs and Routes to Chaos in a Simple Asset Pricing Model,” Journal of Economic Dynamics and Control, Vol. 22, No. 89, 1998, pp. 1235-1274. http://dx.doi.org/10.1016/S0165-1889(98)00011-6
[10]
C. Chiarella and X.-Z. He, “Heterogeneous Beliefs, Risk and Learning in a Simple Asset Pricing Model,” Computational Economics, Vol. 19, 1, 2002, pp. 95-132. http://dx.doi.org/10.1023/A:1014957310778
[11]
W. Branch and G. Evans, “Learning about Risk and Return: A Simple Model of Bubbles and Crashes,” American Economic Journal: Macroeconomics, Vol. 3, No. 3, 2011, pp. 159-191. http://dx.doi.org/10.1257/mac.3.3.159
[12]
R. M. Townsend, “Forecasting the Forecasts of Others,” Journal of Political Economy, Vol. 91, No. 4, 1983, pp. 546-588. http://dx.doi.org/10.1086/261166
[13]
M. Costa-Gomes, V. P. Crawford and B. Broseta, “Cognition and Behavior in Normal-Form Games: An Experimental Study,” Econometrica, Vol. 69, No. 5, 2001, pp. 11193-1235. http://dx.doi.org/10.1111/1468-0262.00239
[14]
V. P. Crawford and N. Iriberri, “Level-k Auctions: Can a Nonequilibrium Model of Strategic Thinking Explain the Winner’s Curse and Overbidding in Private-Value Auctions?” Econometrica, Vol. 75, No. 6, 2007, pp. 1721-1770. http://dx.doi.org/10.1111/j.1468-0262.2007.00810.x
[15]
V. P. Crawford and N. Iriberri, “Fatal Attraction: Salience, Naïveté, and Sophistication in Experimental ‘Hide-andSeek’ Games,” American Economic Review, Vol. 97, No. 5, 2007, pp. 1731-1750. http://dx.doi.org/10.1257/aer.97.5.1731
[16]
T. Odean, “Volume, Volatility, Price, and Profit When All Traders Are Above Average,” Journal of Finance, Vol. 53, 6, 1998, pp. 1887-1934. http://dx.doi.org/10.1111/0022-1082.00078
[17]
S. Gervais and T. Odean, “Learning to Be Overconfident,” Review of Financial Studies, Vol. 14, 1, 2001, pp. 1-14. http://dx.doi.org/10.1093/rfs/14.1.1
[18]
K. D. Daniel, D. Hirshleifer and A. Subrahmanyam, “Investor Psychology and the Market underand Over-Reactions,” Journal of Finance, Vol. 53, 6, 1998, pp. 1839-1886. http://dx.doi.org/10.1111/0022-1082.00077
[19]
B. DeLong, A. Shleifer, L. Summers and R. Waldmann, “Noise Trader Risk in Financial Markets,” Journal of Political Economy, Vol. 98, No. 4, 1990, pp. 703-738. http://dx.doi.org/10.1086/261703
[20]
H. Markowitz, “Portfolio Selection,” Journal of Finance, Vol. 7, No. 1, 1952, pp. 77-91. http://dx.doi.org/10.2307/2975974
