2014 | 178 | 93-107
Article title

Opóźnienia w modelach społecznych dynamiki replikatorowej

Title variants
Delays in Social Models of Replicator Dynamics
Languages of publication
This paper discusses the impact of delayed information on the social models of replicator dynamic. Internal fixed point is here the optimal decision in the population. Examples and simulations confirm presented results. Here is described both the standard replicator dynamic and the modified model, which assumes that players imitate opponents taking strategies with a higher average payoff in the past. Moreover the model, in which each strategy has its own delay is presented
Physical description
  • Albosza J., Miękisz J., 2004: Stability of Evolutionarily Stable Strategies in Discrete Replicator Dynamics. "Journal of Theoretical Biology", Vol. 231, No. 2, 175-179.
  • Berezansky L., Braverman E., 2006: On Stability of Some Linear and Nonlinear Delay Differential Equations. "Journal of Mathematical Analysis and Applications", Vol. 314, No. 2, 391-411.
  • Friedman D., 1998: On Economic Applications of Evolutionary Game Theory. "Journal of Evolutionary Economics", No. 8, 15-43.
  • Hofbauer J., Shuster P., Sigmund K., 1979: A Note on Evolutionarily Stable Strategies and Game Dynamics. "Journal of Theoretical Biology", Vol. 81, No. 3, 609-612.
  • Hofbauer J., Sigmund K., 1988: The Theory of Evolution and Dynamical Systems. Cambridge University Press, Cambridge.
  • Iijima R., 2012: On Delayed Discrete Evolutionary Dynamics. "Journal of Theoretical Biology", Vol. 300, 1-6.
  • Li X., Ruin S., Wei J., 1999: Stability and Bifurcation in Delay-differential Equations with Two Delays. "Journal of Mathematical Analysis and Applications", Vol. 236, No. 2, 254-280.
  • Maynard Smith J., 1974: The Theory of Games and the Evolution of Animal Conflicts. "Journal of Theoretical Biology", Vol. 47, No. 1, 209-221.
  • Maynard Smith J., Price G.R., 1973: The Logic of Animal Conflict. "Nature", Vol. 246, No. 5427, 15-18.
  • Maynard Smith J., 1982: Evolution and the Theory of Games. Cambridge University Press, Cambridge.
  • Moreira J.A., Pinheiro F.L., Nunes A., Pacheco J.M., 2012: Evolutionary Dynamics of Collective Action when Individual Fitness Derives from Group Decisions Taken in the Past. "Journal of Theoretical Biology", Vol. 298, 8-15.
  • Tao Y., Wang Z., 1997: Effect of Time Delay and Evolutionarily Stable Strategy. "Journal of Theoretical Biology", Vol. 187, No. 1, 111-116.
  • Taylor P.D., Jonker L.B., 1978: Evolutionarily Stable Strategy and Game Dynamics. "Mathematical Biosciences", Vol. 40, No. 1-2, 145-156.
  • Weibull J., 1995: Evolutionary Game Theory. MIT Press, Cambridge MA.
  • Zeeman E., 1981: Dynamics of the Evolution of Animal Conflicts. "Journal of Theoretical Biology", Vol. 89, No. 2, 249-270.
Document Type
Publication order reference
YADDA identifier
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