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Wealth-driven Selection in a Financial Market with Heterogeneous Agents

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  • Mikhail Anufriev
  • Pietro Dindo

Abstract

We study the co-evolution of asset prices and individual wealth in a financial market populated by an arbitrary number of heterogeneous boundedly rational investors. Using wealth dynamics as a selection device we are able to characterize the long run market outcomes, i.e. asset returns and wealth distributions, for a general class of investment behaviors. Our investigation illustrates that market interaction and wealth dynamics pose certain limits on the outcome of agents' interactions even within the ``wilderness of bounded rationality''. As an application we consider the case of heterogenous mean-variance optimizers and provide insights into the results of the simulation model introduced in Levy, Levy and Solomon (1994).

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Bibliographic Info

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 2007/27.

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Date of creation: 19 Dec 2007
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Handle: RePEc:ssa:lemwps:2007/27

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Keywords: Heterogeneous agents; Asset pricing model; Bounded rationality; CRRA framework; Levy-Levy-Solomon model; Evolutionary Finance.;

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References

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  1. Amos Tversky & Daniel Kahneman, 1979. "Prospect Theory: An Analysis of Decision under Risk," Levine's Working Paper Archive 7656, David K. Levine.
  2. LeBaron, Blake, 2006. "Agent-based Computational Finance," Handbook of Computational Economics, in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 24, pages 1187-1233 Elsevier.
  3. 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.
  4. Chiarella, Carl & He, Xue-Zhong & Hommes, Cars, 2006. "A dynamic analysis of moving average rules," Journal of Economic Dynamics and Control, Elsevier, vol. 30(9-10), pages 1729-1753.
  5. Anufriev, M. & Dindo, P.D.E., 2006. "Equilibrium Return and Agents' Survival in a Multiperiod Asset Market: Analytic Support of a Simulation Model," CeNDEF Working Papers 06-03, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
  6. Carl Chiarella & Roberto Dieci & Xue-Zhong He, 2005. "Heterogeneous Expectations and Speculative Behaviour in a Dynamic Multi-Asset Framework," Research Paper Series 166, Quantitative Finance Research Centre, University of Technology, Sydney.
  7. Brock, W.A. & Hommes, C.H. & Wagener, F.O.O., 2006. "More hedging instruments may destabilize markets," CeNDEF Working Papers 06-12, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
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  11. Mikhail Anufriev, 2005. "Wealth-Driven Competition in a Speculative Financial Market: Examples with Maximizing Agents," LEM Papers Series 2005/27, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
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  25. Gaunersdorfer, Andrea, 2000. "Endogenous fluctuations in a simple asset pricing model with heterogeneous agents," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 799-831, June.
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  29. Anufriev, M. & Bottazzi, G., 2009. "Market Equilibria under Procedural Rationality (revised version of WP 06-02)," CeNDEF Working Papers 09-11, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
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Citations

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Cited by:
  1. Darong Dai, 2013. "Wealth Martingale and Neighborhood Turnpike Property In Dynamically Complete Market With Heterogeneous Investors," Economic Research Guardian, Weissberg Publishing, vol. 3(2), pages 86-110, December.
  2. Xue-Zhong He & Kai Li, 2011. "Heterogeneous Beliefs and Adaptive Behaviour in a Continuous-Time Asset Price Model," Research Paper Series 291, Quantitative Finance Research Centre, University of Technology, Sydney.
  3. Carl Chiarella & Roberto Dieci & Xue-Zhong He, 2010. "Time-Varying Beta: A Boundedly Rational Equilibrium Approach," Research Paper Series 275, Quantitative Finance Research Centre, University of Technology, Sydney.
  4. Igor V. EVSTIGNEEVY & Thorsten HENS & Klaus Reiner SCHENK-HOPPE, . "An evolutionary financial market model with a risk-free asset," Swiss Finance Institute Research Paper Series 10-36, Swiss Finance Institute.
  5. Blake LeBaron, 2011. "Active and Passive Learning in Agent-based Financial Markets," Eastern Economic Journal, Palgrave Macmillan, vol. 37(1), pages 35-43.
  6. Anufriev, Mikhail & Bottazzi, Giulio, 2010. "Market equilibria under procedural rationality," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1140-1172, November.
  7. Hommes, C.H., 2010. "The Heterogeneous Expectations Hypothesis: Some Evidence from the Lab," CeNDEF Working Papers 10-06, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
  8. Chauveau, Th. & Subbotin, A., 2013. "Price dynamics in a market with heterogeneous investment horizons and boundedly rational traders," Journal of Economic Dynamics and Control, Elsevier, vol. 37(5), pages 1040-1065.
  9. Anufriev, M. & Bottazzi, G. & Marsili, M. & Pin, P., 2011. "Excess Covariance and Dynamic Instability in a Multi-Asset Model," CeNDEF Working Papers 11-09, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
  10. He, Xue-Zhong & Li, Kai, 2012. "Heterogeneous beliefs and adaptive behaviour in a continuous-time asset price model," Journal of Economic Dynamics and Control, Elsevier, vol. 36(7), pages 973-987.
  11. Hai-Chuan Xu & Wei Zhang & Xiong Xiong & Wei-Xing Zhou, 2014. "Wealth share analysis with "fundamentalist/chartist" heterogeneous agents," Papers 1405.5939, arXiv.org.
  12. Anufriev, Mikhail & Panchenko, Valentyn, 2009. "Asset prices, traders' behavior and market design," Journal of Economic Dynamics and Control, Elsevier, vol. 33(5), pages 1073-1090, May.
  13. Xue-Zhong He, 2012. "Recent Developments on Heterogeneous Beliefs and Adaptive Behaviour of Financial Markets," Research Paper Series 316, Quantitative Finance Research Centre, University of Technology, Sydney.
  14. Giulio Bottazzi & Pietro Dindo, 2010. "Evolution and market behavior with endogenous investment rules," LEM Papers Series 2010/20, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
  15. Xue-Zhong He & Min Zheng, 2010. "Dynamics of Moving Average Rules in a Continuous-time Financial Market Model," Research Paper Series 268, Quantitative Finance Research Centre, University of Technology, Sydney.
  16. Anufriev, M. & Bottazzi, G., 2009. "Market Equilibria under Procedural Rationality (revised version of WP 06-02)," CeNDEF Working Papers 09-11, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
  17. Giulio Bottazzi & Pietro Dindo, 2011. "Selection in asset markets: the good, the bad, and the unknown," LEM Papers Series 2011/11, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
  18. Giovanni Dosi, 2012. "Economic Coordination and Dynamics: Some Elements of an Alternative "Evolutionary" Paradigm," LEM Papers Series 2012/08, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.

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