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Wealth-Driven Competition in a Speculative Financial Market: Examples with Maximizing Agents

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Mikhail Anufriev

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Abstract

This paper demonstrates how both quantitative and qualitative results of general, analytically tractable asset-pricing model in which heterogeneous agents behave consistently with a constant relative risk aversion assumption can be applied to the particular case of ``linear'' investment choices. In this way it is shown how the framework developed in Anufriev and Bottazzi (2005) can be used inside the classical setting with demand derived from utility maximization. Consequently, some of the previous contributions of the agent-based literature are generalized. In the course of the analysis of asymptotic market behavior the main attention is paid to a geometric approach which allows to visualize all possible equilibria by means of a simple one-dimensional curve referred as the Equilibrium Market Line. The case of linear (particularly, mean-variance) investment functions thoroughly analyzed in this paper allows to highlight those features of the asymptotic dynamics which are common to all types of the CRRA-investment behavior and those which are specific for the linear investment functions.

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Paper provided by Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy in its series LEM Papers Series with number 2005/27.

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Date of creation: 15 Dec 2005
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Handle: RePEc:ssa:lemwps:2005/27

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Related research
Keywords: Asset Pricing Model CRRA Framework Equilibrium Market Line Rational Choice Expected Utility Maximization Mean-Variance Optimization Linear Investment Functions.

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  1. Brock, William A. & Hommes, Cars H., 1998. "Heterogeneous beliefs and routes to chaos in a simple asset pricing model," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1235-1274, August. [Downloadable!] (restricted)
  2. Carl Chiarella & Xue-Zhong He, 2001. "Asset Price and Wealth Dynamics Under Heterogeneous Expectations," Research Paper Series 56, Quantitative Finance Research Centre, University of Technology, Sydney. [Downloadable!]
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  3. Carl Chiarella, 1992. "The Dynamics of Speculative Behaviour," Working Paper Series 13, School of Finance and Economics, University of Technology, Sydney. [Downloadable!]
  4. Kroll, Yoram & Levy, Haim & Rapoport, Amnon, 1988. "Experimental tests of the mean-variance model for portfolio selection," Organizational Behavior and Human Decision Processes, Elsevier, vol. 42(3), pages 388-410, December. [Downloadable!] (restricted)
  5. LeBaron, Blake & Arthur, W. Brian & Palmer, Richard, 1999. "Time series properties of an artificial stock market," Journal of Economic Dynamics and Control, Elsevier, vol. 23(9-10), pages 1487-1516, September. [Downloadable!] (restricted)
  6. Franke, Reiner & Sethi, Rajiv, 1998. "Cautious trend-seeking and complex asset price dynamics," Research in Economics, Elsevier, vol. 52(1), pages 61-79, March. [Downloadable!] (restricted)
  7. Anufriev, Mikhail & Bottazzi, Giulio & Pancotto, Francesca, 2006. "Equilibria, stability and asymptotic dominance in a speculative market with heterogeneous traders," Journal of Economic Dynamics and Control, Elsevier, vol. 30(9-10), pages 1787-1835. [Downloadable!] (restricted)
  8. Mikhail Anufriev & Giulio Bottazzi, 2005. "Price and Wealth Dynamics in a Speculative Market with an Arbitrary Number of Generic Technical Traders," LEM Papers Series 2005/06, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy. [Downloadable!]
  9. Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-91, March. [Downloadable!] (restricted)
  10. Brock, William A. & Hommes, Cars H. & Wagener, Florian O. O., 2005. "Evolutionary dynamics in markets with many trader types," Journal of Mathematical Economics, Elsevier, vol. 41(1-2), pages 7-42, February. [Downloadable!] (restricted)
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  11. Anufriev, M. & Bottazzi, G., 2006. "Price and Wealth Dynamics in a Speculative Market with Generic Procedurally Rational Traders," CeNDEF Working Papers 06-02, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance. [Downloadable!]
  12. De Long, J Bradford, et al, 1991. "The Survival of Noise Traders in Financial Markets," Journal of Business, University of Chicago Press, vol. 64(1), pages 1-19, January. [Downloadable!] (restricted)
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  13. Lux, Thomas, 1995. "Herd Behaviour, Bubbles and Crashes," Economic Journal, Royal Economic Society, vol. 105(431), pages 881-96, July. [Downloadable!] (restricted)
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  1. Mikhail Anufriev & Giulio Bottazzi, 2006. "Behavioral Consistent Market Equilibria under Procedural Rationality," Computing in Economics and Finance 2006 225, Society for Computational Economics. [Downloadable!]
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