On the dynamic foundation of evolutionary stability in continuous models

Journal of Economic Theory

Volumn 107, Issue 2, 2002, Pages 223-252

  Oechssler, Jörg ^a   Riedel, Frank ^b  

^a UNIVERSITY OF BONN   (Germany)

^b HUMBOLDT UNIVERSITY   (Germany)

Author keywords

CSS; ESS; Evolutionary stability; Replicator dynamics

Indexed keywords

EID: 0036925149     PISSN: 00220531     EISSN: None     Source Type: Journal    
DOI: 10.1006/jeth.2001.2950     Document Type: Article

References (26)

1. J. Apaloo, Revisiting strategic models of evolution: The concept of neighborhood invader strategies, Theoret. Pop. Biol. 52 (1997), 71-77.
2. E. Akin, Exponential families and game dynamics, Can. J. Math. 34 (1982), 374-405.
3. C. Berge, "Topological Spaces," Oliver & Boyd, Edinburgh/London, 1963.
4. H. Bester and W. Güth, Is altruism evolutionarily stable, J. Econ. Behav. Org. 34 (1998), 193-209.
5. P. Billingsley, "Convergence of Probability Measures," Wiley, New York, 1968.
6. I. Bomze, Dynamical aspects of evolutionary stability, Monatsh. Math. 110 (1990), 189-206.
7. I. Bomze, Cross entropy minimization in uninvadable states of complex populations, J. Math. Biol. 30 (1991), 73-87.
8. I. Bomze and B. Pötscher, "Game Theoretic Foundations of Evolutionary Stability," Springer-Verlag, Berlin, 1989.
9. F. Christiansen, Conditions for evolutionary stability for a continuously varying character, Amer. Naturalist 138 (1991), 37-50.
10. I. Eshel and U. Motro, Kin selection and strong evolutionary stability of mutual help, Theoret. Pop. Biol. 19 (1981), 420-433.
11. I. Eshel, Evolutionary and continuous stability, J. Theoret. Biol. 103 (1983), 99-111.
12. I. Eshel, On the changing concepts of evolutionary population stability as a reflection of a changing point of view in the quantitative theory of evolution, J. Math. Biol. 34 (1996), 485-510.
13. I. Eshel, U. Motro, and E. Sansone, Continuous stability and evolutionary convergence, J. Theoret. Biol. 185 (1997), 333-343.
14. A. Heifetz and Y. Spiegel, On the evolutionary emergence of optimism, mimeo, Tel Aviv University, 1999.
15. J. Hofbauer and K. Sigmund, "The Theory of Evolution and Dynamical Systems," Cambridge University Press, Cambridge, 1988.
16. S. Huck, G. Kirchsteiger, and J. Oechssler, Learning to like what you have--Explaining the endowment effect, mimeo, Humboldt University, 1997.
17. J. Maynard-Smith, The theory of games and the evolution of animal conflicts, J. Theoret. Biol. 47 (1974), 209-222.
18. J. Oechssler and F. Riedel, Evolutionary dynamics on infinite strategy spaces, Econ. Theory 17 (2001), 141-162.
19. R. Seymour, Dynamics for infinite dimensional games, mimeo, University College London, 2000.
20. A. Shiryaev, "Probability," 2nd ed., Springer-Verlag, New York, 1995.
21. M. Stegeman and P. Rhode, Stochastic Darwinian equilibria in finite and large populations, mimeo, Virginia Polytechnic Institute, 2000.
22. P. Taylor and L. Jonker, Evolutionary stable strategies and game dynamics, Math. Biosci. 40 (1978), 145-156.
23. P. Taylor, Evolutionary stability in one-parameter models under weak selection, Theoret. Pop. Biol. 34 (1989), 125-143.
24. G. Vickers and C. Cannings, On the definition of an evolutionary stable strategy, J. Theoret. Biol. 129 (1987), 349-353.
25. J. Weibull, "Evolutionary Game Theory," MIT Press, Cambridge, MA, 1995.
26. E. Zeidler, "Nonlinear Functional Analysis and Its Applications," Vol. I, Springer-Verlag, New York, 1986.