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Contribution Details

Type Working Paper
Scope Discipline-based scholarship
Title Evolutionary Stable Stock Markets
Organization Unit
Authors
  • Igor V Evstigneev
  • Thorsten Hens
  • Klaus Reiner Schenk-Hoppé
Language
  • English
Institution University of Zurich
Series Name Working paper series / Institute for Empirical Research in Economics
Number No. 170
ISSN 1424-0459
Date 2003
Abstract Text This paper shows that a stock market is evolutionary stable if andnonly if stocks are evaluated by expected relative dividends. Any othernmarket can be invaded by portfolio rules that will gain market wealthnand hence change the valuation. In the model the valuation of assetsnis given by the wealth average of the portfolio rules in the market. Thenwealth dynamics is modelled as a random dynamical system. Necessary and sufficient conditions are derived for the evolutionary stabilitynof portfolio rules when (relative) dividend payoffs form a stationarynMarkov process. These local stability conditions lead to a unique evolutionary stable strategy according to which assets are evaluated bynexpected relative dividends.
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