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Wealth-driven Selection in a Financial Market with Heterogeneous Agents

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Author Info

  • 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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Related research

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. Thorsten Hens & Klaus Reiner Schenk-Hoppé, 2003. "Evolutionary Stability of Portfolio Rules in Incomplete Markets," Discussion Papers 03-03, University of Copenhagen. Department of Economics.
  2. Pietro Dindo & Mikhail Anufriev, 2007. "Equilibrium Return and Agents' Survival in a Multiperiod Asset Market: Analytic Support of a Simulation Model," Working Papers wp07-03, Warwick Business School, Finance Group.
  3. Zschischang, Elmar & Lux, Thomas, 2001. "Some new results on the Levy, Levy and Solomon microscopic stock market model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 291(1), pages 563-573.
  4. Anufriev, M., 2005. "Wealth-Driven Competition in a Speculative Financial Market: Examples With Maximizing Agents," CeNDEF Working Papers 05-17, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
  5. Carl Chiarella & Roberto Dieci & Laura Gardini, 2004. "Asset Price and Wealth Dynamics in a Financial Market with Heterogeneous Agents," Research Paper Series 134, Quantitative Finance Research Centre, University of Technology, Sydney.
  6. Cars H. Hommes, 2005. "Heterogeneous Agent Models in Economics and Finance," Tinbergen Institute Discussion Papers 05-056/1, Tinbergen Institute.
  7. Carl Chiarella & Tony He & Cars H. Hommes, 2005. "A Dynamic Analysis of Moving Average Rules," Tinbergen Institute Discussion Papers 05-057/1, Tinbergen Institute.
  8. Blume, Lawrence & Easley, David, 1992. "Evolution and market behavior," Journal of Economic Theory, Elsevier, vol. 58(1), pages 9-40, October.
  9. Jean-Michel Grandmont, 1997. "Expectations Formation and Stability of Large Socioeconomic Systems," Working Papers 97-27, Centre de Recherche en Economie et Statistique.
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  11. Igor Evstigneev & Thorsten Hens & Klaus Reiner Schenk-Hoppé, . "Evolutionary Stable Stock Markets," IEW - Working Papers 170, Institute for Empirical Research in Economics - University of Zurich.
  12. 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.
  13. Brock, W.A. & Hommes, C.H. & Wagener, F.O.O., 2002. "Evolutionary dynamics in markets with many trader types," CeNDEF Working Papers 02-10, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
  14. Xue-Zhong (Tony) He & Carl Chiarella, 2001. "Asset Price and Wealth Dynamics under Heterogeneous Expectations," CeNDEF Workshop Papers, January 2001 5A.2, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
  15. Carl Chiarella & Xue-Zhong He, 2002. "An Adaptive Model on Asset Pricing and Wealth Dynamics with Heterogeneous Trading Strategies," Research Paper Series 84, Quantitative Finance Research Centre, University of Technology, Sydney.
  16. William A. Brock & Cars H. Hommes, 1997. "A Rational Route to Randomness," Econometrica, Econometric Society, vol. 65(5), pages 1059-1096, September.
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  19. Medio,Alfredo & Lines,Marji, 2001. "Nonlinear Dynamics," Cambridge Books, Cambridge University Press, number 9780521558747, October.
  20. Florian Wagener & Cars Hommes & William Brock, 2006. "More hedging instruments may destabilize markets," Working Papers wp06-11, Warwick Business School, Finance Group.
  21. Chiarella, Carl & He, Xue-Zhong & Hommes, Cars, 2006. "Moving average rules as a source of market instability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(1), pages 12-17.
  22. 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.
  23. Alvaro Sandroni, 2000. "Do Markets Favor Agents Able to Make Accurate Predicitions?," Econometrica, Econometric Society, vol. 68(6), pages 1303-1342, November.
  24. Blume, Lawrence & Easley, David, 2009. "The market organism: Long-run survival in markets with heterogeneous traders," Journal of Economic Dynamics and Control, Elsevier, vol. 33(5), pages 1023-1035, May.
  25. 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.
  26. 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.
  27. 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.
  28. Levy, Moshe & Levy, Haim & Solomon, Sorin, 1994. "A microscopic model of the stock market : Cycles, booms, and crashes," Economics Letters, Elsevier, vol. 45(1), pages 103-111, May.
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  30. Medio,Alfredo & Lines,Marji, 2001. "Nonlinear Dynamics," Cambridge Books, Cambridge University Press, number 9780521551861, October.
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Citations

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Cited by:
  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. 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.
  9. Carl Chiarella & Roberto Dieci & Xue-Zhong He, 2013. "Time-varying beta: a boundedly rational equilibrium approach," Journal of Evolutionary Economics, Springer, vol. 23(3), pages 609-639, July.
  10. Blake LeBaron, 2011. "Active and Passive Learning in Agent-based Financial Markets," Eastern Economic Journal, Palgrave Macmillan, vol. 37(1), pages 35-43.
  11. 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.
  12. Hommes, Cars, 2011. "The heterogeneous expectations hypothesis: Some evidence from the lab," Journal of Economic Dynamics and Control, Elsevier, vol. 35(1), pages 1-24, January.
  13. He, Xue-Zhong & Zheng, Min, 2010. "Dynamics of moving average rules in a continuous-time financial market model," Journal of Economic Behavior & Organization, Elsevier, vol. 76(3), pages 615-634, December.
  14. 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.
  15. Anufriev, M. & Panchenko, V., 2007. "Asset Prices, Traders' Behavior, and Market Design," CeNDEF Working Papers 07-14, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
  16. 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.
  17. Anufriev, Mikhail & Bottazzi, Giulio, 2010. "Market equilibria under procedural rationality," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1140-1172, November.

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