Evolutionary dynamics on infinite strategy spaces

Economic Theory

Volumn 17, Issue 1, 2001, Pages 141-162

  Oechssler, Jörg ^a   Riedel, Frank ^b  

^a UNIVERSITY OF BONN   (Germany)

^b HUMBOLDT UNIVERSITY   (Germany)

Author keywords

Continuous strategy spaces; Evolutionary stability; Replicator dynamics

Indexed keywords

EID: 0035529082     PISSN: 09382259     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00004092     Document Type: Article

References (25)

1. 1. Akin, E.: Exponential families and game dynamics. Canadian Journal of Mathematics 34, 374-405 (1982)
2. 2. Alt, H.: Lineare Funktionalanalysis, 2nd edn. Berlin Heidelberg New York: Springer 1992
3. 3. Bishop, D., Cannings, C.: A generalized war of attrition. Journal of Theoretical Biology 70, 85-124 (1978)
4. 4. Binmore, K., Seymour, R.: Stationary distributions of noisy replicator dynamics in the ultimatum game. Mimeo, University College London (1995)
5. 5. Bomze, I., Pötscher, B.: Game theoretic foundations of evolutionary stability. Berlin Heidelberg New York: Springer 1989
6. 6. Bomze, I.: Dynamical aspects of evolutionary stability. Monatshefte für Mathematik 110, 189-206 (1990)
7. 7. Bomze, I.: Cross entropy minimization in uninvadable states of complex populations. Journal of Mathematical Biology 30, 73-87 (1991)
8. 8. Friedman, D., Yellin, J.: Evolving landscapes for population games. Mimeo, UC Santa Cruz (1996)
9. 9. Gale, J., Binmore, K., Samuelson, L.: Learning to be imperfect. Games and Economic Behavior 8, 56-90 (1995)
10. 10. Hehenkamp, B., Qin, Ch. Z., Stuart, Ch.: Economic natural selection in Bertrand and Cournot settings. Journal of Evolutionary Economics 9, 211-224 (1999)
11. 11. Heifetz, A., Spiegel, Y.: On the evolutionary emergence of optimism. Mimeo, Tel Aviv University (1999)
12. 12. Hindy, A., Huang, C., Kreps, D.: On intertemporal preferences in continuous time. Journal of Mathematical Economics 21, 401-440 (1992)
13. 13. Hines, W.: Strategy stability in complex populations. Journal of Applied Probability 17, 600-610 (1982)
14. 14. Hirsch, M., Smale, S.: Differential equations, dynamical systems, and linear algebra. San Diego: Academic Press 1974
15. 15. Hofbauer, J., Schuster, P., Sigmund, K.: A note on evolutionary stable strategies and game dynamics. Journal of Theoretical Biology 81, 609-612 (1979)
16. 16. Hopkins, E., Seymour, R.: Price dispersion: An evolutionary approach. Mimeo, University College London (1996)
17. 17. Huck, S., Kirchsteiger, G., Oechssler, J.: Learning to like what you have - explaining the endowment effect. Mimeo, Humboldt University (1997)
18. 18. Maynard-Smith, J.: The theory of games and the evolution of animal conflicts. Journal of Theoretical Biology 47, 209-222 (1974)
19. 19. Oechssler, J., Riedel, F.: The insufficiency of static evolutionary stability conditions. Mimeo, University of Bonn (2000)
20. 20. Seymour, R.: Dynamics for infinite dimensional games. Mimeo, University College London (1998)
21. 21. Shiryaev, A.: Probability, 2nd edn. Berlin Heidelberg New York: Springer 1995
22. 22. Vickers, G., Cannings, C.: On the definition of an evolutionary stable strategy. Journal of Theoretical Biology 129, 349-353 (1987)
23. 23. Weibull, J.: Evolutionary game theory. Cambridge: MIT Press 1995
24. 24. Zeeman, E.: Dynamics of the evolution of animal conflicts. Journal of Theoretical Biology 89, 249-270 (1981)
25. 25. Zeidler, E.: Nonlinear functional analysis and its applications, Vol. I. Berlin Heidelberg New York: Springer 1986