Kurz, Mordecai (2006): Beauty contests under private information and diverse beliefs: how different? Forthcoming in: Journal of Mathematical Economics , Vol. forthc, No. forthcoming
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Abstract: The paper contrasts theories that explain diverse belief by asymmetric private information (in short PI) with theories which postulate agents use subjective heterogenous beliefs (in short HB). We focus on problems where agents forecast aggregates such as profit rate of the S&P500 and our model is similar to the one used in the literature on asset pricing (e.g. Brown and Jennings (1989), Grundy and McNichols (1989), Allen, Morris and Shin (2003)). We first argue there is no a-priori conceptual basis to assuming PI about economic aggregates. Since PI is not observed, models with PI offer no testable hypotheses, making it possible to prove anything with PI. In contrast, agents with HB reveal their forecasts hence data on market belief is used to test hypotheses of HB. We show the common knowledge assumptions of the PI theory are implausible. The theories differ on four main analytical issues. (1) The pricing theory under PI implies prices have infinite memory and at each t depend upon unobservable variables. In contrast, under HB prices have finite memory and depend only upon observable variables. (2) The “Beauty Contest” implications of the two are different. Under PI today’s price depends upon today’s market belief about tomorrow’s mean belief about “fundamental” variables. Under HB it depends upon today’s market belief about tomorrow’s market beliefs. Tomorrow’s beliefs are, in part, beliefs about future beliefs and are often mistaken. Market forecast mistakes are key to Beauty Contests, and are a central cause of market uncertainty called “endogenous uncertainty.” (3) Contrary to PI, theories with HB have wide empirical implications which are testable with available data. (4) PI theories assume unobserved data and hence do not restrict behavior, while rationality conditions impose restrictions on any HB theory. We explain the tight restrictions on the model’s parameters imposed by the theory of Rational Beliefs.
|Item Type:||MPRA Paper|
|Original Title:||Beauty contests under private information and diverse beliefs: how different?|
|Keywords:||private information; Bayesian learning; updating beliefs; heterogenous beliefs; asset pricing; Rational Beliefs|
|Subjects:||G - Financial Economics > G1 - General Financial Markets > G12 - Asset Pricing; Trading volume; Bond Interest Rates
D - Microeconomics > D8 - Information, Knowledge, and Uncertainty > D82 - Asymmetric and Private Information; Mechanism Design
D - Microeconomics > D8 - Information, Knowledge, and Uncertainty > D84 - Expectations; Speculations
|Depositing User:||Mordecai Kurz|
|Date Deposited:||08. Oct 2006|
|Last Modified:||18. Feb 2013 14:50|
Allen, F., Morris, S., Shin, H.S. (2003) : “Beauty Contests, Bubbles and Iterated Expectations in Asset Markets.” Cowles Foundation Discussion paper No. 1406. (Forthcoming in the Review of Financial Studies, 19, 2006). Amato, J. and Shin, H.S. (2002): “Imperfect Common Knowledge and Economic Stability.” Working Paper, London School of Economics and the IBS. Bacchetta, P. and van Wincoop, E. (2005a): “Can Information Heterogeneity Explain the Exchange Rate Determination Puzzle?” Working paper, Study Center Gerzensee, (forthcoming in the American Economic Review). Bacchetta, P. and van Wincoop, E. (2005b): “Higher Order Expectations in Asset Pricing” Working paper, Study Center Gerzensee. Batchelor, R. and Dua, P. (1991): “Blue Chip Rationality Tests.” Journal of Money, Credit and Banking, 23, 692 - 705. Blanchard, O. J., and Kahn, C. M. (1980): “The Solution of Linear Difference Models Under Rational Expectations.” Econometrica, 48, 1305 - 1311. Brown, D. and Jennings, R. (1989): “On Technical Analysis.” Review of Financial Studies, 2, 527-551. Detemple, J., Murthy S.(1994): “Intertemporal Asset Pricing with Heterogeneous Beliefs.” Journal of Economic Theory 62, 294-320 Diamond, D. and Verrecchia, R. (1981): “Information Aggregation in a Noisy Rational Expectations Equilibrium.” Journal of Financial Economics, 9, 221 - 235 Fan, M., (2005): “Heterogeneous Beliefs, the Term Structure and Time-Varying Risk Premia.” Doctoral dissertation submitted to the Department of Economics, Stanford University. Grundy, B. and McNichols, M. (1989): “Trade and Revelation of Information Through Prices and Direct Disclosure.” Review of Financial Studies, 2, 495-526. Harris, M., Raviv, A. (1993) : “Differences of Opinion Make a Horse Race.” Review of Financial Studies 6, 473-506 Harrison, M. and Kreps, D.(1978): “Speculative Investor Behavior in a Stock Market with Heterogenous Expectations.” Quarterly Journal of Economics 92, 323-336. He, H. and Wang, J. (1995): “ Differential Information and Dynamic Behavior of Stock Trading Volume.” Review of Financial Studies, 8, 914 - 972. Hellwig, C. (2002) : “Public Announcements, Adjustment Delays and the Business Cycle.” Working Paper, Department of Economics, UCLA. Judd, K. L., and Bernardo, A.E. (2000) : "Asset Market Equilibrium with General Tastes, Returns, and Informational Asymmetries", Journal of Financial Markets, 1, 17- 43 Judd, K. L., and Bernardo, A.E.(1996) :"Volume and Price Formation in an Asset Trading Model with Asymmetric Information,", Working Paper, Stanford University. Lucas, R. E. (1972): “Expectations and the Neutrality of Money.” Journal of Economic Theory, 4, 103 - 124. Keynes, J. M. (1936): The General Theory of Employment, Interest and Money. Macmillan: London. Kurz, M. (1974): "The Kesten-Stigum Model and the Treatment of Uncertainty in Equilibrium Theory." In Balch, M.S., McFadden, D.L., and Wu, S.Y. (ed.), Essays on Economic Behavior Under Uncertainty. Amsterdam: North-Holland, 389 - 399. Kurz, M. (1994): “On the Structure and Diversity of Rational Beliefs.” Economic Theory 4, 877 - 900 . (An edited version appears as Chapter 2 of Kurz, M. (ed.) (1997a) ). Kurz, M. (ed) (1997a): Endogenous Economic Fluctuations: Studies in the Theory of Rational Belief. Studies in Economic Theory, No. 6, Berlin and New York: Springer-Verlag. Kurz, M. (1997b): “On the Volatility of Foreign Exchange Rates.” Chapter 12 in Kurz, M. (ed.) (1997a) Endogenous Economic Fluctuations: Studies in the Theory of Rational Belief. Studies in Economic Theory, No. 6, Berlin and New York: Springer-Verlag, 317 -352. Kurz, M., Jin, H., Motolese, M. (2005a): “Determinants of Stock Market Volatility and Risk Premia.” Annals of Finance, 1, 109-147. Kurz, M., Jin, H., Motolese, M. (2005b): “The Role of Expectations in Economic Fluctuations and the Efficacy of Monetary Policy.” Journal of Economic Dynamics and Control, 29, 2017 - 2065. Kurz, M., Motolese, M. (2001): “Endogenous Uncertainty and Market Volatility.” Economic Theory, 17, 497 - 544. Kurz, M., Motolese, M. (2005): “Understanding Excess Returns and Risk Premia.” Working paper, Stanford University, August, 2005. Kurz, M., Schneider, M.(1996): Coordination and Correlation in Markov Rational Belief Equilibria. Economic Theory 8, 489 - 520. Kurz, M., Wu, H.M. (1996): “Endogenous Uncertainty in a General Equilibrium Model with Price Contingent Contracts.” Economic Theory, 8, 461 -488. (Appears as Chapter 2 of Kurz, M. (ed.) (1997a) ) Lucas, R. E. (1972): “Expectations and the Neutrality of Money.” Journal of Economic Theory, 4, 103 - 124. Morris, S., Shin, H.S. (2002) : “Social Value of Public Information.” American Economic Review, 92, 1521 - 1534. Motolese, M. (2001): “Money Non-Neutrality in a Rational Belief Equilibrium with Financial Assets.” Economic Theory, 18, 97 - 16. Motolese, M. (2003): “Endogenous Uncertainty and the Non-Neutrality of Money.” Economic Theory, 21, 317 - 345. Nielsen, K. C. (1996): “Rational Belief Structures and Rational Belief Equilibria.” Economic Theory, 8, 339 - 422 . Nielsen, K. C. (2003): “Floating Exchange Rates vs. A Monetary Union Under Rational Beliefs: The Role of Endogenous Uncertainty.” Economic Theory, 21, 347 - 398. Phelps, E.(1970): “ Introduction : The New Microeconomics in Employment and Inflation Theory.” In Microeconomic Foundations of Employment and Inflation Theory, New York: Norton, 1970. Romer, C. D., Romer, D. H. (2000): “Federal Reserve Information and the Behavior of Interest Rates.” American Economic Review, June, pp. 429-457. Singleton, K.(1987): “Asset Prices in a Time-Series Model with Disparately Informed, Competitive Traders.” In, Barnet, W. and Singleton, K. (ed.) New Approaches to Monetary Economics, Proceedings of the Second International Symposium in Economic Theory and Econometrics. Cambridge: Cambridge University Press. Saari, D. (2006): “Parts, Whole, and Evolution”, Lecture notes, University of California at Irvine. Swanson, E. (2006): “Have Increases in Federal Reserve Transparency Improved Private Sector Forecasts of Short Term Interest Rates? Journal of Money, Credit and Banking (forthcoming). Toukan, A. (2006): “Privately Held or Publicly Owned? Evolutionary Game Theoretic Analysis.” Working Paper, University of California at Irvine. Townsend, R. (1978): “Market Anticipations, Rational Expectations and Bayesian Analysis.” International Economic Review, 19, 481 - 494. Townsend, R. (1983): “Forecasting the Forecasts of Others.” Journal of Political Economy, 91, 546 - 588. Wang, J. (1994): “A Model of Competitive Stock Trading Volume.” Journal of Political Economy, 102, 127 - 168. Varian, H.R. (1985): “Divergence of Opinion in Complete Markets: A Note.” Journal of Finance 40, 309-317 Varian, H.R. (1989) : “Differences of Opinion in Financial Markets.” In Financial Risk: Theory, Evidence and Implications, Proceeding of the 11th Annual Economic Policy Conference of the Federal Reserve Bank of St. Louis, Stone, C.C. ed. Boston: Kluwer Academic Publishers. Wu, H.M., Guo, W.C. (2003): “Speculative Trading with Rational Beliefs and Endogenous Uncertainty.” Economic Theory, 21 , 263 292. Wu, H.M., Guo, W.C. (2004): “Asset Price Volatility and Trading Volume with Rational Beliefs.” Economic Theory, 23 , 461- 488 Woodford, M. (2003) : “Imperfect Common Knowledge and the Effect of Monetary Policy.” Chapter 1 in Aghion, P., Frydman, R., Stiglitz, J., Woodford, M. (ed.) Knowledge, Information and Expectations in Modern Macroeconomics, in Honor of Edmund S. Phelps Princeton: Princeton University Press.