Anufriev, Mikhail and Bottazzi, Giulio (2006) Price and wealth dynamics in a speculative market with generic procedurally rational traders. Working Paper. Coventry: Warwick Business School, Financial Econometrics Research Centre. (Working papers (Warwick Business School. Financial Econometrics Research Centre)).

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Abstract

An agent-based model of a simple financial market with arbitrary number of traders having relatively general behavioral specifications is analyzed. In a pure exchange economy with two assets, riskless and risky, trading takes place in discrete time under endogenous price formation setting. Traders’ demands for the risky asset are expressed as fractions of their individual wealths, so that the dynamical system in terms of wealth and return is obtained. Agents’ choices, i.e. investment fractions, are described by means of the generic smooth functions of an infinite information set. The choices can be consistent with (but not limited to) the solutions of the expected utility maximization problems. A complete characterization of equilibria is given. It is shown that irrespectively of the number of agents and of their behavior, all possible equilibria belong to a one-dimensional “Equilibrium Market Line”. This geometric tool helps to illustrate possibility of different phenomena, like multiple equilibria, and also can be used for comparative static analysis. The stability conditions of equilibria are derived for general model specification and allow to discuss the relative performances of different strategies and the selection principle governing market dynamics.

Item Type:	Working or Discussion Paper (Working Paper)
Subjects:	H Social Sciences > HB Economic Theory Q Science > QA Mathematics
Divisions:	Faculty of Social Sciences > Warwick Business School > Financial Econometrics Research Centre Faculty of Social Sciences > Warwick Business School
Library of Congress Subject Headings (LCSH):	Assets (Accounting), Pricing -- Mathematical models, Rational expectations (Economic theory), Equilibrium (Economics), Economic stabilization
Series Name:	Working papers (Warwick Business School. Financial Econometrics Research Centre)
Publisher:	Warwick Business School, Financial Econometrics Research Centre
Place of Publication:	Coventry
Date:	February 2006
Number:	No.06-
Number of Pages:	47
Status:	Not Peer Reviewed
Access rights to Published version:	Open Access
Funder:	Sixth Framework Programme (European Commission) (FP6)
Grant number:	516446 (SFP)
References:	Anufriev, M. (2005): “Wealth-Driven Competition in a Speculative Financial Market: Examples with Maximizing Agents,” CeNDEF Working Paper 2005-17, University of Amsterdam. Anufriev, M., and G. Bottazzi (2006): “Noisy Trading in the Large Market Limit,” in Artificial Economics: Agent-based Methods in Finances, Game Theory and their Applications, ed. by P. Mathieu, B. Beaufils, and O. Brandouy. Springer-Verlag (Lecture Notes in Economics and Mathematical Systems, vol.564), Berlin. Anufriev, M., G. Bottazzi, and F. Pancotto (2006): “Equilibria, Stability and Asymptotic Dominance in a Speculative Market with Heterogeneous Agents,” Journal of Economic Dynamics and Control, forthcoming. Blume, L., and D. Easley (1992): “Evolution and Market Behavior,” The Journal of Economic Theory, 58, 9–40. Brock, W. (1997): “Asset Price Behavior in Complex Environment,” in The Economy as an Evolving Complex System II, ed. by W. Arthur, S. Durlauf, and D. Lane, pp. 385–423. Addison-Wesley. Brock, W., and C. Hommes (1998): “Heterogeneous Beliefs and Routes to Chaos in a Simple Asset Pricing Model,” Journal of Economic Dynamics and Control, 22, 1235–1274. Brock, W., C. Hommes, and F. Wagener (2005): “Evolutionary Dynamics in Markets with Many Trader Types,” Journal of Mathematical Economics, 41, 7–42. Campbell, J., and L. Viceira (2002): Strategic Asset Allocation: Portfolio Choice for Long-Term Investors. Oxford University Press, Oxford. Chiarella, C., R. Dieci, and L. Gardini (2006): “Asset Price and Wealth Dynamics in a Financial Market with Heterogeneous Agents,” Journal of Economic Dynamics and Control, forthcoming. Chiarella, C., and X. He (2001): “Asset Price andWealth Dynamics under Heterogeneous Expectations,” Quantitative Finance, 1, 509–526. Day, R., and W. Huang (1990): “Bulls, bears and market sheep,” Journal of Economic Behaviour and Organization, 14, 299–329. DeLong, J., A. Shleifer, L. Summers, and R. Waldmann (1991): “The survival of noise traders in financial markets,” Journal of Business, 64(1), 1–19. Guckenheimer, J., and P. Holmes (1983): Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. Springer, New York. Hens, T., and K. Schenk-Hoppé (2005): “Evolutionary Stability of Portfolio Rules in Incomplete Markets,” Journal of Mathematical Economics, 41, 43–66. Hommes, C. (2006): “Heterogeneous Agent Models in Economics and Finance,” in Handbook of Computational Economics Vol. 2: Agent-Based Computational Economics, ed. by K. Judd, and L. Tesfatsion. North-Holland (Handbooks in Economics Series), Amsterdam, forthcoming. Kirman, A. (1991): “Epidemics of opinion and speculative bubbles in financial markets,” in Money and Financial Markets, ed. by M. Taylor, chap. 17, pp. 354–368. Blackwell, Cambridge. Kuznetsov, Y. (1995): Elements of Applied Bifurcation Theory. Springer, New York. LeBaron, B. (2006): “Agent-Based Computational Finance,” in Handbook of Computational Economics Vol. 2: Agent-Based Computational Economics, ed. by K. Judd, and L. Tesfatsion. North-Holland (Handbooks in Economics Series), forthcoming. Levy, M., H. Levy, and S. Solomon (1994): “A Microscopic Model of the Stock Market: Cycles, Booms, and Crashes,” Economics Letters, 45, 103–111. (2000): Microscopic Simulation of Financial Markets. Academic Press, London. Mehra, R., and E. C. Prescott (1985): “The equity premium: A puzzle,” Journal of Monetary Economics, 15, 145–161. Sandroni, A. (2000): “Do Markets Favor Agents Able to Make Accurate Predictions,” Econometrica, 68(6), 1303–1341. Simon, H. (1976): “From substantive to procedural rationality,” in Method and appraisal in economics, ed. by S. Latsis. Cambridge: Cambridge University Press. Zschischang, E., and T. Lux (2001): “Some new results on the Levy, Levy and Solomon microscopic stock market model,” Physica A, 291, 563–573.
URI:	http://wrap.warwick.ac.uk/id/eprint/1766

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