By Mark Broom
Covering the main themes of evolutionary online game conception, Game-Theoretical types in Biology provides either summary and sensible mathematical versions of genuine organic events. It discusses the static features of video game conception in a mathematically rigorous approach that's attractive to mathematicians. additionally, the authors discover many purposes of online game idea to biology, making the textual content precious to biologists as well.
The ebook describes quite a lot of themes in evolutionary video games, together with matrix video games, replicator dynamics, the hawk-dove online game, and the prisoner’s hassle. It covers the evolutionarily sturdy method, a key notion in organic video games, and provides in-depth information of the mathematical types. such a lot chapters illustrate tips to use MATLAB® to unravel a variety of video games.
Important organic phenomena, resembling the intercourse ratio of such a lot of species being with reference to a part, the evolution of cooperative habit, and the lifestyles of adornments (for instance, the peacock’s tail), were defined utilizing rules underpinned by way of online game theoretical modeling. appropriate for readers learning and dealing on the interface of arithmetic and the lifestyles sciences, this booklet indicates how evolutionary video game thought is utilized in the modeling of those different organic phenomena.
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Extra resources for Game-Theoretical Models in Biology (Chapman & Hall/CRC Mathematical and Computational Biology)
Sample text
As is the case in physics, where the motion of a rigid object is often described by the motion of the barycenter, in biological games there is sometimes no real need to distinguish between the population ( i pi δi ) and its barycenter δp . 5 and Chapter 6). In this case, a focal individual plays against a randomly chosen opponent from the entire population, and it makes no difference to the focal individual (in an infinite population; this is not true for a finite population, see Chapter 12 or Taylor et al.
2 (RSP game in lizards, Sinervo and Lively, 1996). The common side-blotched lizard Uta stansburiana exhibits a throat-colour polymorphism. Males with orange throats are very aggressive and defend large territories. Males with dark blue throats are less aggressive and defend smaller territories. Males with yellow stripes do not defend any territories but they look like 13 14 Game-theoretical models in biology females and use a sneaking strategy when mating. It was observed in Sinervo and Lively (1996) that (a) if blue is prevalent, orange can invade, (b) if yellow is prevalent, blue can invade, and (c) if orange is prevalent, yellow can invade.
As is the case in physics, where the motion of a rigid object is often described by the motion of the barycenter, in biological games there is sometimes no real need to distinguish between the population ( i pi δi ) and its barycenter δp . 5 and Chapter 6). In this case, a focal individual plays against a randomly chosen opponent from the entire population, and it makes no difference to the focal individual (in an infinite population; this is not true for a finite population, see Chapter 12 or Taylor et al.