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Evolutionary Finance

Author Info

  • Igor V. Evstigneev

    (Economic Studies, University of Manchester)

  • Thorsten Hens

    (Swiss Banking Institute, University of Zurich)

  • Klaus Reiner Schenk-Hoppé

    (Leeds University Business School and School of Mathematics, University of Leeds)

Abstract

Evolutionary finance studies the dynamic interaction of investment strategies in financial markets. This market interaction generates a stochastic wealth dynamics on a heterogenous population of traders through the fluctuation of asset prices and their random payoffs. Asset prices are endogenously determined through short-term market clearing. Investors' portfolio choices are characterized by investment strategies which provide a descriptive model of decision behavior. The mathematical framework of these models is given by random dynamical systems. This chapter surveys the recent progress made by the authors in the theory and applications of evolutionary finance models. An introduction to and the motivation of the modeling approach is followed by a theoretical part which presents results on the market selection (and co-existence) of investment strategies, discusses the relation to the Kelly rule and implications for asset pricing theory, and introduces a continuous-time mathematical finance version. Applications are concerned with simulation studies of the market dynamics, empirical estimation of asset prices and their dynamics, and the evolution of investment strategies using genetic programming.

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Paper provided by Swiss Finance Institute in its series Swiss Finance Institute Research Paper Series with number 08-14.

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Length: 60 pages
Date of creation: May 2008
Date of revision:
Handle: RePEc:chf:rpseri:rp0814
Contact details of provider: Web page: http://www.SwissFinanceInstitute.ch

More information through EDIRC

Keywords: Evolutionary Finance; Wealth Dynamics; Market Interaction;

Find related papers by JEL classification:

  • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
  • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
  • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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  1. Igor V. Evstigneev & Thorsten Hens & Klaus Reiner Schenk-Hopp�, . "Market Selection of Financial Trading Strategies: Global Stability," IEW - Working Papers 083, Institute for Empirical Research in Economics - University of Zurich.
  2. Evstigneev, Igor V. & Hens, Thorsten & Schenk-Hoppé, Klaus Reiner, 2005. "Globally Evolutionarily Stable Portfolio Rules," Discussion Papers 2005/17, Department of Business and Management Science, Norwegian School of Economics.
  3. Enrico De Giorgi, 2005. "Evolutionary Portfolio Selection with Liquidity Shocks," Computing in Economics and Finance 2005 15, Society for Computational Economics.
  4. AMIR, Rabah & EVSTIGNEEV, Igor & HENS, Thorsten & SCHENK-HOPPÉ, Klaus Reiner, 2003. "Market selection and survival of investment strategies," CORE Discussion Papers 2003099, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. Igor Evstigneev & Thorsten Hens & Klaus Reiner Schenk-Hopp�, . "Evolutionary Stable Stock Markets," IEW - Working Papers 170, Institute for Empirical Research in Economics - University of Zurich.
  6. Shapley, Lloyd S & Shubik, Martin, 1977. "Trade Using One Commodity as a Means of Payment," Journal of Political Economy, University of Chicago Press, vol. 85(5), pages 937-68, October.
  7. Thorsten Hens & Klaus Reiner Schenk-Hopp� & Martin Stalder, . "An Application of Evolutionary Finance to Firms Listed in the Swiss Market Index," IEW - Working Papers 128, Institute for Empirical Research in Economics - University of Zurich.
  8. Hommes, C.H., 2000. "Financial Markets as Nonlinear Adaptive Evolutionary Systems," CeNDEF Working Papers 00-03, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
  9. Jan PALCZEWSKI & Klaus Reiner SCHENK-HOPPE, 2008. "Market Selection of Constant Proportions Investment Strategies in Continuous Time," Swiss Finance Institute Research Paper Series 08-29, Swiss Finance Institute.
  10. Carl Chiarella & Roberto Dieci & Xue-Zhong He, 2008. "Heterogeneity, Market Mechanisms, and Asset Price Dynamics," Research Paper Series 231, Quantitative Finance Research Centre, University of Technology, Sydney.
  11. De Long, J. Bradford & Shleifer, Andrei & Summers, Lawrence H. & Waldmann, Robert J., 1990. "Noise Trader Risk in Financial Markets," Scholarly Articles 3725552, Harvard University Department of Economics.
  12. 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.
  13. Hens, Thorsten & Schenk-Hoppe, Klaus Reiner, 2006. "Markets do not select for a liquidity preference as behavior towards risk," Journal of Economic Dynamics and Control, Elsevier, vol. 30(2), pages 279-292, February.
  14. Radner, Roy, 1972. "Existence of Equilibrium of Plans, Prices, and Price Expectations in a Sequence of Markets," Econometrica, Econometric Society, vol. 40(2), pages 289-303, March.
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  17. Hens, Thorsten & Schenk-Hoppe, Klaus Reiner, 2005. "Evolutionary finance: introduction to the special issue," Journal of Mathematical Economics, Elsevier, vol. 41(1-2), pages 1-5, February.
  18. Arthur, W.B. & LeBaron, B. & Palmer, R., 1997. "Time Series Properties of an Artificial Stock Market," Working papers 9725, Wisconsin Madison - Social Systems.
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Cited by:

  1. Carl Chiarella & Roberto Dieci & Xue-Zhong He & Kai Li, 2013. "An evolutionary CAPM under heterogeneous beliefs," Annals of Finance, Springer, vol. 9(2), pages 185-215, May.
  2. Igor Evstigneev & Thorsten Hens & Klaus Schenk-Hoppé, 2006. "Evolutionary stable stock markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 27(2), pages 449-468, January.
  3. Palczewski, Jan & Schenk-Hoppé, Klaus Reiner, 2010. "From discrete to continuous time evolutionary finance models," Journal of Economic Dynamics and Control, Elsevier, vol. 34(5), pages 913-931, May.
  4. Jan PALCZEWSKI & Klaus Reiner SCHENK-HOPPE, 2008. "Market Selection of Constant Proportions Investment Strategies in Continuous Time," Swiss Finance Institute Research Paper Series 08-29, Swiss Finance Institute.
  5. 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.
  6. Anufriev, M. & Bottazzi, G., 2009. "Market Equilibria under Procedural Rationality," CeNDEF Working Papers 09-11, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.

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