Evolutionary games on the lattice: death-birth updating process
نویسندگان
چکیده
منابع مشابه
Evolutionary games on the lattice: death and birth of the fittest
This paper investigates the long-term behavior of an interacting particle system of interest in the hot topic of evolutionary game theory. Each site of the ddimensional integer lattice is occupied by a player who is characterized by one of two possible strategies. Following the traditional modeling approach of spatial games, the configuration is turned into a payoff landscape that assigns a pay...
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Condensation phenomena arise through a collective behaviour of particles. They are observed in both classical and quantum systems, ranging from the formation of traffic jams in mass transport models to the macroscopic occupation of the energetic ground state in ultra-cold bosonic gases (Bose-Einstein condensation). Recently, it has been shown that a driven and dissipative system of bosons may f...
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Evolutionary game dynamics describe not only frequency-dependent genetic evolution, but also cultural evolution in humans. In this context, successful strategies spread by imitation. It has been shown that the details of strategy update rules can have a crucial impact on evolutionary dynamics in theoretical models and, for example, can significantly alter the level of cooperation in social dile...
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Lattice birth-and-death Markov dynamics of particle systems with spins from Z+ are constructed as unique solutions to certain stochastic equations. Pathwise uniqueness, strong existence, Markov property and joint uniqueness in law are proven, and a martingale characterization of the process is given. Sufficient conditions for the existence of an invariant distribution are formulated in terms of...
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It is known that in homogeneous populations the choice of the update rule is not critical in the evolutionary process. In this paper we investigate an evolutionary game between two strategies, A and B, interacting on a star graph considering four important update rules. We find explicit expressions for the fixation probability of any number of mutants placed at any position on the star, and the...
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ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 2016
ISSN: 1083-6489
DOI: 10.1214/16-ejp4380