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

Banach Center Publications (2008)

- Volume: 80, Issue: 1, page 17-31
- ISSN: 0137-6934

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topJens Christian Claussen. "Discrete stochastic processes, replicator and Fokker-Planck equations of coevolutionary dynamics in finite and infinite populations." Banach Center Publications 80.1 (2008): 17-31. <http://eudml.org/doc/282530>.

@article{JensChristianClaussen2008,

abstract = {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.},

author = {Jens Christian Claussen},

journal = {Banach Center Publications},

keywords = {evolutionary game theory; finite populations; asymmetric conflicts},

language = {eng},

number = {1},

pages = {17-31},

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

url = {http://eudml.org/doc/282530},

volume = {80},

year = {2008},

}

TY - JOUR

AU - Jens Christian Claussen

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

JO - Banach Center Publications

PY - 2008

VL - 80

IS - 1

SP - 17

EP - 31

AB - 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.

LA - eng

KW - evolutionary game theory; finite populations; asymmetric conflicts

UR - http://eudml.org/doc/282530

ER -

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