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Wealth-driven competition in a speculative financial market: examples with maximizing agents

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Author Info
Mikhail Anufriev

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Abstract

This paper demonstrates how both the quantitative and qualitative results of a general, analytically tractable asset-pricing model in which heterogeneous agents behave consistently with a constant relative risk-aversion assumption can be applied to the special case of optimizing behaviour. The analysis of the asymptotic properties of the market is performed using a geometric approach that allows the visualization of all possible equilibria by means of a simple one-dimensional Equilibrium Market Curve. The case of linear (particularly, mean-variance) investment functions is thoroughly analysed. This analysis highlights the features that are specific to linear investment functions. As a consequence, some previous contributions of the agent-based literature are generalized.

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File URL: http://www.informaworld.com/openurl?genre=article&doi=10.1080/14697680701494534&magic=repec&7C&7C8674ECAB8BB840C6AD35DC6213A474B5
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Publisher Info
Article provided by Taylor and Francis Journals in its journal Quantitative Finance.

Volume (Year): 8 (2008)
Issue (Month): 4 ()
Pages: 363-380
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Handle: RePEc:taf:quantf:v:8:y:2008:i:4:p:363-380

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Related research
Keywords: Asset pricing model; CRRA framework; Equilibrium market curve; Expected utility maximization; Mean-variance optimization; Linear investment functions;

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  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. Day, Richard H. & Huang, Weihong, 1990. "Bulls, bears and market sheep," Journal of Economic Behavior & Organization, Elsevier, vol. 14(3), pages 299-329, December. [Downloadable!] (restricted)
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  4. Carl Chiarella, 1992. "The Dynamics of Speculative Behaviour," Working Paper Series 13, School of Finance and Economics, University of Technology, Sydney. [Downloadable!]
  5. 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)
  6. 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)
  7. 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)
  8. Gulio Bottazzi & Mikhail Anufriev, 2006. "Price and Wealth Dynamics in a Speculative Market with Generic Procedurally Rational Traders," Working Papers wp06-02, Warwick Business School, Financial Econometrics Research Centre. [Downloadable!]
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  9. 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)
  10. 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!]
  11. 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)
  12. 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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  13. 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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  14. Lux, Thomas, 1995. "Herd Behaviour, Bubbles and Crashes," Economic Journal, Royal Economic Society, vol. 105(431), pages 881-96, July. [Downloadable!] (restricted)
  15. Hommes, Cars H., 2006. "Heterogeneous Agent Models in Economics and Finance," Handbook of Computational Economics, in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 23, pages 1109-1186 Elsevier. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  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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