Abstract
A mathematical model of replicator evolution is considered. Replicators are words of a formal language specifying a strategy for a parlour game. They replicate with mutations and are selected according to their pay-off against other replicators.
Similar content being viewed by others
References
Akin, E., Losert, V.: Evolutionary dynamics of zero-sum games. J. Math. Biol. 20, 231–258 (1984)
Bomze, I.M.: Lotka-Volterra equation and replicator dynamics: A two-dimensional classification. Biol. Cybern. 48, 201–211 (1983)
Dawkins, R.: The extended phenotype. Oxford: Freeman 1982
Eigen, M., Schuster, P.: The hypercycle, a principle of natural self-organization. Naturwissenschaften 64, 11, 541–565 (1977)
Schuster, P., Sigmund, K., Hofbauer, J., Wolff, R.: Selfregulation of behaviour in animal societies. Biol. Cybern. 40, 1–8 (1981)
Schuster, P., Sigmund, K.: Replicator dynamics. J. Theor. Biol. 100, 533–538 (1983)
Taylor, P.D., Jonker, L.B.: Evolutionary stable strategies and game dynamics. Math. Biosci. 40, 145–156 (1978)
Zeeman, E.C.: Population dynamics from game theory. In: Global theory of dynamical systems, pp. 471–497. Nitecki, ed. Berlin, Heidelberg, New York: Springer 1980
Zeeman, E.C.: Dynamics of the evolution of animal conflicts. J. Theor. Biol. 89, 249–270 (1981)
Zeeman, E.C.: Bifurcation and catastrophe theory. Contemp. Math. 9, 207–271 (1982)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kůrka, P. Evolution of replicators playing a strategic game. Biol. Cybern. 52, 211–217 (1985). https://doi.org/10.1007/BF00336977
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00336977