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Survival and Evolutionary Stability of the Kelly Rule

Author

Listed:
  • Igor V. EVSTIGNEEV

    (University of Manchester)

  • Thorsten HENS

    (University of Zurich and Swiss Finance Institute)

  • Klaus Reiner SCHENK-HOPPE

    (University of Leeds)

Abstract

This chapter gives an overview of current research in evolutionary fi- nance. We mainly focus on the survival and stability properties of investment strategies associated with the Kelly rule. Our approach to the study of the wealth dynamics of investment strategies is inspired by Darwinian ideas on selection and mutation. The goal of this research is to develop an evolutionary framework for practical investment advice.

Suggested Citation

  • Igor V. EVSTIGNEEV & Thorsten HENS & Klaus Reiner SCHENK-HOPPE, 2009. "Survival and Evolutionary Stability of the Kelly Rule," Swiss Finance Institute Research Paper Series 09-32, Swiss Finance Institute.
    • Handle: RePEc:chf:rpseri:rp0932
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    Cited by:

    1. Igor V. EVSTIGNEEVY & Thorsten HENS & Klaus Reiner SCHENK-HOPPE, 2010. "An evolutionary financial market model with a risk-free asset," Swiss Finance Institute Research Paper Series 10-36, Swiss Finance Institute.
    2. 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.
    3. Sonntag, Dominik, 2018. "Die Theorie der fairen geometrischen Rendite [The Theory of Fair Geometric Returns]," MPRA Paper 87082, University Library of Munich, Germany.
    4. 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.
    5. Binghui Wu & Tingting Duan & Jianmin He, 2018. "Dynamics Evolution of Trading Strategies of Investors in Financial Market," Computational Economics, Springer;Society for Computational Economics, vol. 51(4), pages 743-760, April.
    6. Andrea Antico & Giulio Bottazzi & Daniele Giachini, 2022. "On the evolutionary stability of the sentiment investor," LEM Papers Series 2022/09, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    7. H. Allen Orr, 2018. "Evolution, finance, and the population genetics of relative wealth," Journal of Bioeconomics, Springer, vol. 20(1), pages 29-48, April.

    More about this item

    Keywords

    Evolutionary finance; Wealth dynamics; Survival and extinction of portfolio rules; Evolutionary stability; Kelly rule.;
    All these keywords.

    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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