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Evolutionary Stable Stock Markets

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Author Info
Igor Evstigneev (University of Manchester)
Thorsten Hens (University of Zurich)
Klaus Reiner Schenk-Hoppé (Institute of Economics, University of Copenhagen)

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Abstract

This paper shows that a stock market is evolutionary stable if and only if stocks are evaluated by expected relative dividends. Any other market can be invaded by portfolio rules that will gain market wealth and hence change the valuation. In the model the valuation of assets is given by the wealth average of the portfolio rules in the market. The wealth dynamics is modelled as a random dynamical system. Necessary and sufficient conditions are derived for the evolutionary stability of portfolio rules when (relative) dividend payoffs form a stationary Markov process. These local stability conditions lead to a unique evolutionary stable strategy according to which assets are evaluated by expected relative dividends.

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Publisher Info
Paper provided by University of Copenhagen. Department of Economics in its series Discussion Papers with number 03-39.

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Length: 22 pages
Date of creation: Oct 2003
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Handle: RePEc:kud:kuiedp:0339

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Related research
Keywords: evolutionary finance; portfolio theory; incomplete markets;

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Find related papers by JEL classification:
G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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    Other versions:
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Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Bruno S. Frey & Simon Luechinger & Alois Stutzer, . "Calculating Tragedy: Assessing the Costs of Terrorism," IEW - Working Papers iewwp205, Institute for Empirical Research in Economics - IEW. [Downloadable!]
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  2. Enrico De Giorgi & Stefan Reimann, . "The ?-Beauty Contest: Choosing Numbers, Thinking Intervals," IEW - Working Papers iewwp183, Institute for Empirical Research in Economics - IEW. [Downloadable!]
  3. Lensberg, Terje & Schenk-Hoppé, Klaus Reiner, 2006. "On the Evolution of Investment Strategies and the Kelly Rule – A Darwinian Approach," Discussion Papers 2006/23, Department of Finance and Management Science, Norwegian School of Economics and Business Administration. [Downloadable!]
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  4. Steffen Huck & Michael Kosfeld, . "The Dynamics of Neighbourhood Watch and Norm Enforcement," IEW - Working Papers iewwp199, Institute for Empirical Research in Economics - IEW. [Downloadable!]
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  5. Thorsten Hens & Klaus Reiner Schenk-Hoppé, 2004. "Survival of the Fittest on Wall Street," Discussion Papers 04-03, University of Copenhagen. Department of Economics. [Downloadable!]
  6. Ernst Fehr & Susanne Kremhelmer & Klaus M. Schmidt, . "Fairness and the Optimal Allocation of Ownership Rights," IEW - Working Papers iewwp224, Institute for Empirical Research in Economics - IEW. [Downloadable!]
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  7. Enrico De Giorgi, . "Evolutionary Portfolio Selection with Liquidity Shocks," IEW - Working Papers iewwp185, Institute for Empirical Research in Economics - IEW. [Downloadable!]
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  8. Bruno S. Frey, . "Happiness Research: State and Prospects," IEW - Working Papers iewwp192, Institute for Empirical Research in Economics - IEW. [Downloadable!]
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  9. Aleksander Berentsen & Esther Bruegger & Simon Loertscher, . "Heterogeneity, Local Information, and Global Interaction," IEW - Working Papers iewwp182, Institute for Empirical Research in Economics - IEW. [Downloadable!]
  10. Philipp C. Wichardt, . "An Application of Global Games to Signalling Models," IEW - Working Papers iewwp223, Institute for Empirical Research in Economics - IEW. [Downloadable!]
  11. Gerber, Anke & Hens, Thorsten & Woehrmann, Peter, 2005. "Dynamic General Equilibrium and T-Period Fund Separation," Discussion Papers 2005/16, Department of Finance and Management Science, Norwegian School of Economics and Business Administration. [Downloadable!]
  12. Thorsten Hens & P. Jean-Jacques Herings & Arkadi Predtetchinskii, . "Limits to Arbitrage when Market Participation Is Restricted," IEW - Working Papers iewwp176, Institute for Empirical Research in Economics - IEW. [Downloadable!]
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  13. Bruno S. Frey & Alois Stutzer, . "Making International Organizations More Democratic," IEW - Working Papers iewwp217, Institute for Empirical Research in Economics - IEW. [Downloadable!]
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  14. Ernst Fehr & Klaus M. Schmidt, . "The Role of Equality, Efficiency, and Rawlsian Motives in Social Preferences: A Reply to Engelmann and Strobel," IEW - Working Papers iewwp179, Institute for Empirical Research in Economics - IEW. [Downloadable!]
  15. Matthias Benz & Bruno S. Frey, . "The Value of Autonomy: Evidence from the Self-Employed in 23 Countries," IEW - Working Papers iewwp173, Institute for Empirical Research in Economics - IEW. [Downloadable!]
  16. Patrick Leoni, . "Learning in Repeated Games without Repeating the Game," IEW - Working Papers iewwp215, Institute for Empirical Research in Economics - IEW. [Downloadable!]
  17. Igor Evstigneev & Thorsten Hens & Klaus Reiner Schenk-Hoppé, . "Evolutionary Stable Stock Markets," IEW - Working Papers iewwp170, Institute for Empirical Research in Economics - IEW. [Downloadable!]
    Other versions:
  18. Evstigneev, Igor V. & Hens, Thorsten & Schenk-Hoppé, Klaus Reiner, 2005. "Globally Evolutionarily Stable Portfolio Rules," Discussion Papers 2005/17, Department of Finance and Management Science, Norwegian School of Economics and Business Administration. [Downloadable!]
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  19. Pavlo Blavatskyy, . "Why the Olympics have three prizes and not just one," IEW - Working Papers iewwp200, Institute for Empirical Research in Economics - IEW. [Downloadable!]
  20. Bruno S. Frey & Margit Osterloh, . "Yes, Managers Should be Paid Like Bureaucrats," IEW - Working Papers iewwp187, Institute for Empirical Research in Economics - IEW. [Downloadable!]
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  21. Peter Woehrmann, . "A dynamic model of the financial–real interaction as a model selection criterion for nonparametric stock market prediction," IEW - Working Papers iewwp226, Institute for Empirical Research in Economics - IEW. [Downloadable!]
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This page was last updated on 2009-11-16.

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