Discrete stochastic processes, replicator and Fokker-Planck equations of coevolutionary dynamics in finite and infinite populations

• Autorzy: Jens Christian Claussen
• Języki publikacji: EN

Abstrakty

EN

Finite-size fluctuations in coevolutionary dynamics arise in models of biological as well as of social and economic systems. This brief tutorial review surveys a systematic approach starting from a stochastic process discrete both in time and state. The limit N → ∞ of an infinite population can be considered explicitly, generally leading to a replicator-type equation in zero order, and to a Fokker-Planck-type equation in first order in 1/√N. Consequences and relations to some previous approaches are outlined.

Kategorie tematyczne

• 60J20: Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.)
• 91A22: Evolutionary games
• 92D50: Animal behavior
• 92D15: Problems related to evolution

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2008
• Tom: 80
• Numer: 1
• Strony: 17-31

Daty

wydano

2008

Twórcy

autor

Jens Christian Claussen

• Institute of Theoretical Physics and Astrophysics, Christian-Albrecht University Kiel, Leibnizstr. 15, 24098 Kiel, Germany

Identyfikatory

DOI

10.4064/bc80-0-1