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Population dynamics from game theory

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Global Theory of Dynamical Systems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 819))

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References

  1. M. Eigen & P. Schuster, The Hypercycle, a principal of natural self organisation. (A) Emergence of the hypercycle Naturwissenschaften 64 (1977) 541–565; (B) The abstract hypercycle 65 (1978), 7–41; (C) The realistic hypercycle 65 (1978) 341–369.

    Article  ADS  Google Scholar 

  2. W.G.S. Hines, Strategy stability in complex populations, Preprint, Guelph, Ontario, 1979.

    Google Scholar 

  3. M.W. Hirsch & S. Smale, Differential equations, dynamical systems and linear algebra, Academic, New York, London, 1974.

    MATH  Google Scholar 

  4. J. Hofbauer, P. Schuster & K. Sigmund, A note on evolutionary stable strategies and game dynamics, J. theor. Biol, (to appear).

    Google Scholar 

  5. J. Marsden & M. McCracken, The Hopf bifurcation and its applications, Appl. Math. Sc. 19 Springer, New York, 1976.

    MATH  Google Scholar 

  6. J. Maynard Smith & G.R. Price, The logic of animal conflicts, Nature 246 (1973) 5427, 15–18.

    Google Scholar 

  7. J. Maynard Smith, The theory of games and the evolution of animal conflicts, J. theor. Biol. 47 (1974) 209–221.

    Article  MathSciNet  Google Scholar 

  8. J. Maynard Smith, Evolution and the theory of games, Am. Scientist, 64 (1976) 41–45.

    ADS  Google Scholar 

  9. J. Palis & S. Smale, Structural stability theorems, Global Analysis, Proc. Symp. Pure Math. 14, Am. Math. Soc. (1970) 223–231.

    Article  MathSciNet  MATH  Google Scholar 

  10. M.M. Peixoto, Structural stability on two-dimensional manifolds, Topology 1 (1962) 101–120.

    Article  MathSciNet  MATH  Google Scholar 

  11. P. Schuster, K. Sigmund & R. Wolff, Dynamical systems under constant organisation. I: Topological analysis of a family of non-linear differential equations, Bull. Math. Biophys. 40 (1978), 743–769. II (with J. Hofbauer): Homogeneous growth of functions of degree p=2, SIAM J. Appl. Math. (to appear). III: Cooperative and competitive behaviour of hypercycles, J. Diff. Eq. 32 (1979), 357–368. IV: Second order growth terms for mass action kinetics, Preprint, Vienna, 1979.

    MathSciNet  MATH  Google Scholar 

  12. P. Schuster, K. Sigmund & R. Wolff, A mathematical model of the hypercycle, Preprint, Vienna, 1979.

    Google Scholar 

  13. P. Schuster & K. Sigmund, Coyness, philandering and stable strategies, Preprint, Vienna, 1979.

    Google Scholar 

  14. P.D. Taylor & L.B. Jonker, Evolutionarily stable strategies and game dynamics, Math. Biosc. 40 (1978) 145–156.

    Article  MathSciNet  MATH  Google Scholar 

  15. R. Thom, Structural stability and morphogenesis, (Trans. D.H. Fowler), Benjamin, Reading, Massachusetts, 1975.

    MATH  Google Scholar 

  16. E.C. Zeeman, Dynamics of the evolution of animal conflicts, Preprint, Warwick, 1979.

    Google Scholar 

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Author information

Authors and Affiliations

  1. University of Warwick, Coventry, England

    E. C. Zeeman

Authors
  1. E. C. Zeeman
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Zbigniew Nitecki Clark Robinson

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© 1980 Springer-Verlag

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Zeeman, E.C. (1980). Population dynamics from game theory. In: Nitecki, Z., Robinson, C. (eds) Global Theory of Dynamical Systems. Lecture Notes in Mathematics, vol 819. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087009

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  • DOI: https://doi.org/10.1007/BFb0087009

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10236-6

  • Online ISBN: 978-3-540-38312-3

  • eBook Packages: Springer Book Archive

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