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Evolution of Portfolio Rules in Incomplete Markets

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  • Thorsten Hens
  • Klaus Schenk-Hoppé

Abstract

The paper considers the evolution of portfolio rules in markets with stationary returns and endogenous prices. The ultimate success of a portfolio rule is measured by the wealth share the rule is eventually able to conquer in competition with other portfolio rules. We give nec-essary and sufficient conditions for portfolio rules to be evolutionary stable. In the case of i.i.d. returns we identify a simple portfolio rule to be the unique evolutionary stable strategy. Moreover we demonstrate that mean-variance optimization is not evolutionary stable while the CAPM-rule always imitates the best portfolio rule and survives.

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Bibliographic Info

Paper provided by Institute for Empirical Research in Economics - University of Zurich in its series IEW - Working Papers with number 074.

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Handle: RePEc:zur:iewwpx:074

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Related research

Keywords: portfolio theory; evolutionary finance; incomplete markets;

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  1. Blume, Lawrence & Easley, David, 1992. "Evolution and market behavior," Journal of Economic Theory, Elsevier, vol. 58(1), pages 9-40, October.
  2. Klaus Reiner Schenk-Hoppé, . "Random Dynamical Systems in Economics," IEW - Working Papers 067, Institute for Empirical Research in Economics - University of Zurich.
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Cited by:
  1. R Amir & I Evstigneev & T Hens & K R Schenk-Hoppé, 2002. "Market Selection and Survival of Investment Strategies," The School of Economics Discussion Paper Series 0215, Economics, The University of Manchester.
  2. Thorsten Hens & Klaus Reiner Schenk-Hoppé & 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.

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