The mechanics of stochastic slowdown in evolutionary games
نویسندگان
چکیده
منابع مشابه
The mechanics of stochastic slowdown in evolutionary games.
We study the stochastic dynamics of evolutionary games, and focus on the so-called 'stochastic slowdown' effect, previously observed in Altrock et al. (2010) for simple evolutionary dynamics. Slowdown here refers to the fact that a beneficial mutation may take longer to fixate than a neutral one. More precisely, the fixation time conditioned on the mutant taking over can show a maximum at inter...
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We examine birth-death processes with state dependent transition probabilities and at least one absorbing boundary. In evolution, this describes selection acting on two different types in a finite population where reproductive events occur successively. If the two types have equal fitness the system performs a random walk. If one type has a fitness advantage it is favored by selection, which in...
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We extend the notion of Evolutionarily Stable Strategies introduced by Maynard Smith & Price [6] in 1973 for models ruled by a single fitness matrix A, to the framework of stochastic games developed by Lloyd Shapley [13] in 1953 where, at discrete stages in time, players play one of finitely many matrix games, while the transitions from one matrix game to the next follow a jointly controlled Ma...
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We discuss the long-run behavior of stochastic dynamics of many interacting players in spatial evolutionary games. In particular, we investigate the effect of the number of players and the noise level on the stochastic stability of Nash equilibria. We discuss similarities and differences between systems of interacting players maximizing their individual payoffs and particles minimizing their in...
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Frequency dependent selection and demographic fluctuations play important roles in evolutionary and ecological processes. Under frequency dependent selection, the average fitness of the population may increase or decrease based on interactions between individuals within the population. This should be reflected in fluctuations of the population size even in constant environments. Here, we propos...
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ژورنال
عنوان ژورنال: Journal of Theoretical Biology
سال: 2012
ISSN: 0022-5193
DOI: 10.1016/j.jtbi.2012.07.003