# Seminar with John Hawkins

ACCS Weekly Meeting

Place: Room 621, GP South

Time: Thursday 3rd November, 10:30 morning Tea. 11:00am seminar

Title: Evolutionary Game Theory with G-functions

Presenter: John Hawkins, ACCS

In this presentation I will provide a summary of the material covered in Tom

Vincent's Evolutionary Game theory workshop in Adelaide. Evolution is

described in game theoretic terms as an iterated game, with a continuous

strategy space, in which individuals inherit rather than choose strategies.

Payoff is dependent upon the definition of a fitness function, and the

fitness function combined with a fixed environment defines an evolutionary

landscape. With reproduction defined to be directly proportional to fitness

the essential evolutionary dynamic becomes the change in distribution of

strategies over time. This model is then extended with the introduction of

the G-function method, in which a generalised fitness generating function is

introduced for all species evolving within the strategy space. The

G-function easily allows the evolutionary model to support a dynamic tension

between competition within a population and between populations. Several

interesting consequences occur when modelling evolution with G-functions,

not the least of which is that evolution does not result in a maximisation

of fitness.

Place: Room 621, GP South

Time: Thursday 3rd November, 10:30 morning Tea. 11:00am seminar

Title: Evolutionary Game Theory with G-functions

Presenter: John Hawkins, ACCS

In this presentation I will provide a summary of the material covered in Tom

Vincent's Evolutionary Game theory workshop in Adelaide. Evolution is

described in game theoretic terms as an iterated game, with a continuous

strategy space, in which individuals inherit rather than choose strategies.

Payoff is dependent upon the definition of a fitness function, and the

fitness function combined with a fixed environment defines an evolutionary

landscape. With reproduction defined to be directly proportional to fitness

the essential evolutionary dynamic becomes the change in distribution of

strategies over time. This model is then extended with the introduction of

the G-function method, in which a generalised fitness generating function is

introduced for all species evolving within the strategy space. The

G-function easily allows the evolutionary model to support a dynamic tension

between competition within a population and between populations. Several

interesting consequences occur when modelling evolution with G-functions,

not the least of which is that evolution does not result in a maximisation

of fitness.