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licator equation, in which general payoffs are inter- preted as contributions to individual fitness (Taylor and Jonker, 1978; Hofbauer et al., 1979; Zeeman, 1980; Schuster and Sigmund, 1983; Hofbauer and Sigmund, 1988, 1998) provides an evolution- ary setting for the classification of two-player games.
game dynamics of infinite populations. The replicator equation, in which general payoffs are inter- preted as contributions to individual fitness (Taylor and Jonker, 1978; Hofbauer et al., 1979; Zeeman, 1980; Schuster and Sigmund, 1983; Hofbauer and Sigmund, 1988, 1998) provides an evolution- ary set
or cultural. The traditional approach to evolutionary game theory is based on the replicator equation (Taylor & .Jonker 1978, Hofbauer et al 1979, Zeeman 1980, Hofbauer & Sigmund 1988,1998, 2003, Cressman 2003), which examines deterministic dynamics in infinitely large, well-mixed populations. Many o
fitness theory (Seger 1981, Grafen 1985, 2006, Queller 1985, Taylor 1992b, Taylor & Frank 1996, Frank 1998, Rousset & Billiard 2000, Rousset 2004, Taylor et al 2000, 2007b). In this paper, we explore the interaction between two strategies, A and B, given by the payoff matrix A B Ara b) B c d (
ally-relevant analog computer discoveries about the Van der Pol and comparable periodically forced, dissipative (energy utilizing) Duffing equations (Zeeman, 1976) were made in the early 1960’s by electrical engineer, Yoshi Ueda (1992), but his thesis director, Chihiro Hayashi of Japan’s Kyoto University,
, Dutton, N.Y. 1911. A Nation of Believers Martin Marty, Univ. Chicago Press, Chicago. 1976. Introduction to Percolation Theory. Dietrich Stauffer. Taylor and Francis. London. 1985. Modern Theory of Critical Phenomena. Shang-Keng Ma, Benjamin/Cummings. Reading, MA. 1976. A Modern Course in Statistical
of graphic representations of their geometric and topological forms. Notably successful examples can be found in the work of Thom, Arnold (1984) and Zeeman (1977), who were inspired by “caustics” (the shapes made on surfaces by the coincidence of reflected or refracted light rays) and Whitney’s represent
): Introduction to Phase Transitions and Critical Phenomena. Oxford University Press, Oxford Stauffer, C. (1985) Introduction to Percolation Theory. Taylor and Francis. London Stergiopulos, N., Porret, C.A., De Brower, S., Mesiter, J.J. (1998) Arterial vasomotion: effect of flow and evidence of nonlinear
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