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Evolutionary Finance

Author

Listed:
  • 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.

Suggested Citation

  • Igor V. Evstigneev & Thorsten Hens & Klaus Reiner Schenk-Hoppé, 2008. "Evolutionary Finance," Swiss Finance Institute Research Paper Series 08-14, Swiss Finance Institute.
    • Handle: RePEc:chf:rpseri:rp0814
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    References listed on IDEAS

    as
    1. 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.
    2. Amir, Rabah & Evstigneev, Igor V. & Hens, Thorsten & Schenk-Hoppe, Klaus Reiner, 2005. "Market selection and survival of investment strategies," Journal of Mathematical Economics, Elsevier, vol. 41(1-2), pages 105-122, February.
    3. De Giorgi, Enrico, 2008. "Evolutionary portfolio selection with liquidity shocks," Journal of Economic Dynamics and Control, Elsevier, vol. 32(4), pages 1088-1119, April.
    4. C. H. Hommes, 2001. "Financial markets as nonlinear adaptive evolutionary systems," Quantitative Finance, Taylor & Francis Journals, vol. 1(1), pages 149-167.
    5. 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.
    6. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    7. Terje Lensberg & Klaus Reiner Schenk-Hoppe, 2006. "On the Evolution of Investment Strategies and the Kelly Rule – A Darwinian Approach," Swiss Finance Institute Research Paper Series 06-38, Swiss Finance Institute.
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    11. 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.
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    17. Thorsten Hens & Klaus Reiner Schenk-Hoppé & Martin Stalder, 2002. "An Application of Evolutionary Finance to Firms Listed in the Swiss Market Index," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 138(IV), pages 465-487, December.
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    22. Palczewski, Jan & Schenk-Hoppé, Klaus Reiner, 2010. "Market selection of constant proportions investment strategies in continuous time," Journal of Mathematical Economics, Elsevier, vol. 46(2), pages 248-266, March.
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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. Anufriev, Mikhail & Bottazzi, Giulio, 2010. "Market equilibria under procedural rationality," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1140-1172, November.
    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. Anufriev, Mikhail & Bottazzi, Giulio & Marsili, Matteo & Pin, Paolo, 2012. "Excess covariance and dynamic instability in a multi-asset model," Journal of Economic Dynamics and Control, Elsevier, vol. 36(8), pages 1142-1161.
    5. Palczewski, Jan & Schenk-Hoppé, Klaus Reiner, 2010. "Market selection of constant proportions investment strategies in continuous time," Journal of Mathematical Economics, Elsevier, vol. 46(2), pages 248-266, March.
    6. 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.

    More about this item

    Keywords

    Evolutionary Finance; Wealth Dynamics; Market Interaction;

    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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