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Market selection and survival of investment strategies

  • Amir, Rabah
  • Evstigneev, Igor V.
  • Hens, Thorsten
  • Schenk-Hoppe, Klaus Reiner

The paper analyzes the process of market selection of investment strategies in an incomplete asset market. The payoffs of the as-sets depend on random factors described in terms of a discrete-time Markov process. Market participants make dynamic investment de-cisions based on their observations and time. We show that a trader distributing wealth across available assets according to the relative expected returns eventually accumulates the entire market wealth. The result obtains under the assumption that the trader's strategy is asymptotically distinct from the CAPM strategy (prescribing in-vestment in the market portfolio). This assumption turns out to be essentially necessary for the conclusion.

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Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 41 (2005)
Issue (Month): 1-2 (February)
Pages: 105-122

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Handle: RePEc:eee:mateco:v:41:y:2005:i:1-2:p:105-122
Contact details of provider: Web page: http://www.elsevier.com/locate/jmateco

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  1. Igor V. Evstigneev & Thorsten Hens & Klaus Reiner Schenk-Hoppé, . "Market Selection of Financial Trading Strategies: Global Stability," IEW - Working Papers 083, Institute for Empirical Research in Economics - University of Zurich.
  2. 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.
  3. Alvaro Sandroni, 2000. "Do Markets Favor Agents Able to Make Accurate Predicitions?," Econometrica, Econometric Society, vol. 68(6), pages 1303-1342, November.
  4. Epstein, Larry G & Zin, Stanley E, 1989. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework," Econometrica, Econometric Society, vol. 57(4), pages 937-69, July.
  5. Brock, William A. & Hommes, Cars H., 1998. "Heterogeneous beliefs and routes to chaos in a simple asset pricing model," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1235-1274, August.
  6. Lawrence Blume & David Easley, 2001. "If You're So Smart, Why Aren't You Rich? Belief Selection in Complete and Incomplete Markets," Working Papers 01-06-031, Santa Fe Institute.
  7. Thorsten Hens & Klaus Schenk-Hoppé, . "Evolution of Portfolio Rules in Incomplete Markets," IEW - Working Papers 074, Institute for Empirical Research in Economics - University of Zurich.
  8. W.A. Brock, C.H. Hommes and F.O.O. Wagener, 2001. "Evolutionary dynamics in financial markets with many trader types," Computing in Economics and Finance 2001 119, Society for Computational Economics.
  9. Epstein, Larry G & Zin, Stanley E, 1991. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: An Empirical Analysis," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 263-86, April.
  10. Blume, Lawrence & Easley, David, 1992. "Evolution and market behavior," Journal of Economic Theory, Elsevier, vol. 58(1), pages 9-40, October.
  11. Armen A. Alchian, 1950. "Uncertainty, Evolution, and Economic Theory," Journal of Political Economy, University of Chicago Press, vol. 58, pages 211.
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