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Evolution, finance, and the population genetics of relative wealth

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  • H. Allen Orr

    (University of Rochester)

Abstract

Attempts to use evolutionary ideas in finance have often neglected mathematical population genetics. Population genetics provides a natural approach to certain problems in finance that involve the relative wealth that accrues to competing investment strategies. In our model, competing investment strategies differ only in their allocation to a risky asset versus a riskless asset. Here we use results from the population genetics of natural selection to find the investment strategy that maximizes the expected increase in relative wealth. Though we focus on single-period analysis, some of our key findings are reminiscent of those from the growth optimal portfolio literature, e.g., the Kelly criterion.

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  • H. Allen Orr, 2018. "Evolution, finance, and the population genetics of relative wealth," Journal of Bioeconomics, Springer, vol. 20(1), pages 29-48, April.
    • Handle: RePEc:kap:jbioec:v:20:y:2018:i:1:d:10.1007_s10818-017-9254-y
    DOI: 10.1007/s10818-017-9254-y
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    1. Andrew E. Clark & Paul Frijters & Michael A. Shields, 2008. "Relative Income, Happiness, and Utility: An Explanation for the Easterlin Paradox and Other Puzzles," Journal of Economic Literature, American Economic Association, vol. 46(1), pages 95-144, March.
    2. 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.
    3. 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.
    4. Armen A. Alchian, 1950. "Uncertainty, Evolution, and Economic Theory," Journal of Political Economy, University of Chicago Press, vol. 58, pages 211-211.
    5. Robson, Arthur J, 1992. "Status, the Distribution of Wealth, Private and Social Attitudes to Risk," Econometrica, Econometric Society, vol. 60(4), pages 837-857, July.
    6. Clark, Andrew E. & Oswald, Andrew J., 1996. "Satisfaction and comparison income," Journal of Public Economics, Elsevier, vol. 61(3), pages 359-381, September.
    7. Hens, Thorsten & Schenk-Hoppe, Klaus Reiner, 2005. "Evolutionary stability of portfolio rules in incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 41(1-2), pages 43-66, February.
    8. Robert M. Bell & Thomas M. Cover, 1980. "Competitive Optimality of Logarithmic Investment," Mathematics of Operations Research, INFORMS, vol. 5(2), pages 161-166, May.
    9. Terence C. Burnham & Aimee Dunlap & David W. Stephens, 2015. "Experimental Evolution and Economics," SAGE Open, , vol. 5(4), pages 21582440156, November.
    10. Thomas J. Brennan & Andrew W. Lo, 2011. "The Origin of Behavior," Quarterly Journal of Finance (QJF), World Scientific Publishing Co. Pte. Ltd., vol. 1(01), pages 55-108.
    11. Bakshi, Gurdip S & Chen, Zhiwu, 1996. "The Spirit of Capitalism and Stock-Market Prices," American Economic Review, American Economic Association, vol. 86(1), pages 133-157, March.
    12. Corneo, Giacomo & Jeanne, Olivier, 1997. "On relative wealth effects and the optimality of growth," Economics Letters, Elsevier, vol. 54(1), pages 87-92, January.
    13. Blume, Lawrence & Easley, David, 1992. "Evolution and market behavior," Journal of Economic Theory, Elsevier, vol. 58(1), pages 9-40, October.
    14. Park, Sangkyun, 2009. "Portfolio choice when relative income matters," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 38(3), pages 530-533, June.
    15. George J. Mailath & Harold L. Cole & Andrew Postlewaite, 2001. "original papers : Investment and concern for relative position," Review of Economic Design, Springer;Society for Economic Design, vol. 6(2), pages 241-261.
    16. Blume, Lawrence E. & Easley, David, 1993. "Economic natural selection," Economics Letters, Elsevier, vol. 42(2-3), pages 281-289.
    17. Igor V. Evstigneev & Thorsten Hens & Klaus Reiner Schenk-Hoppé, 2011. "Survival and Evolutionary Stability of the Kelly Rule," World Scientific Book Chapters, in: Leonard C MacLean & Edward O Thorp & William T Ziemba (ed.), THE KELLY CAPITAL GROWTH INVESTMENT CRITERION THEORY and PRACTICE, chapter 20, pages 273-284, World Scientific Publishing Co. Pte. Ltd..
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    1. I. V. Evstigneev & T. Hens & M. J. Vanaei, 2023. "Evolutionary finance: a model with endogenous asset payoffs," Journal of Bioeconomics, Springer, vol. 25(2), pages 117-143, August.

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