Evolutionary dynamics of spatial games
Typ
Examensarbete för masterexamen
Program
Complex adaptive systems (MPCAS), MSc
Publicerad
2020
Författare
Ekesryd, Olle
Modellbyggare
Tidskriftstitel
ISSN
Volymtitel
Utgivare
Sammanfattning
Game theory is a subject that can be applied to many fields of study, for instance
biology and economics. In this report, we look at two known games in game theory,
Prisoner’s dilemma and Hawk dove. In contrast to previous research on these two
games, every agent is located in two-dimensional space on the unit square. This
spatial case on game theory changes the dynamics of the games. For example, we
found that cooperating is a superior strategy in Prisoner’s dilemma, for some combinations
of parameters. For reference, in the normal Prisoner’s dilemma, the strategy
defect dominates the strategy to cooperate. It is also found that the initial state
of the simulations has a big impact on the results obtained. The simulations made
are computationally demanding. An attempt was therefore made to make approximations
that could replace the spatial model. The result from the approximations
shows that it is not good enough to replace the spatial model. However, steps has
been made that can help future researchers to make an approximation that works
well.
Beskrivning
Ämne/nyckelord
spatial game theory, evolutionary dynamics, Prisoner’s dilemma, Hawk dove