Mathematics and Financial Economics

, Volume 5, Issue 3, pp 161–184 | Cite as

Evolutionary finance and dynamic games

  • Rabah Amir
  • Igor V. EvstigneevEmail author
  • Thorsten Hens
  • Le Xu


The paper examines a game-theoretic evolutionary model of an asset market with endogenous equilibrium asset prices. Assets pay dividends that are partially consumed and partially reinvested. The investors use general, adaptive strategies (portfolio rules), distributing their wealth between assets, depending on the exogenous states of the world and the observed history of the game. The main objective of the work is to identify strategies, allowing an investor to “survive”, i.e. to possess a positive, bounded away from zero, share of market wealth over the whole infinite time horizon. This work brings together recent studies on evolutionary finance with the classical topic of non-cooperative market games.


Evolutionary finance Dynamic games Stochastic games Survival strategies 

JEL Classification

C73 D52 G11 


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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  • Rabah Amir
    • 1
  • Igor V. Evstigneev
    • 2
    Email author
  • Thorsten Hens
    • 3
    • 4
  • Le Xu
    • 5
  1. 1.Department of EconomicsUniversity of ArizonaTucsonUSA
  2. 2.Department of Economics, School of Social SciencesUniversity of ManchesterManchesterUK
  3. 3.Department of Banking and FinanceUniversity of ZurichZurichSwitzerland
  4. 4.Department of Finance and ManagementNorwegian School of Economics and Business AdministrationBergenNorway
  5. 5.Department of Strategy and Policy, Business SchoolNational University of SingaporeSingaporeSingapore

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