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Investigating the Evolution of Cooperative Behaviour in a Minimally Spatial Model

Investigating the Evolution of Cooperative Behaviour in a Minimally Spatial Model
Investigating the Evolution of Cooperative Behaviour in a Minimally Spatial Model
It is well known that the evolution of cooperative behaviour is dependant upon certain environmental conditions. One such condition that has been extensively studied is the use of a spatially structured population, whereby cooperation is favoured by a reduced number of interactions between cooperators and selfish cheaters. However, models that address the role of spatial structure typically use an individual-based approach, which can make analysis unnecessarily complicated. By contrast, non-spatial population genetics models usually consist entirely of a set of replicator equations, thereby simplifying analysis. Unfortunately, these models cannot traditionally be used to take account of spatial structure, since they assume that interaction between any pair of individuals in a population is equally likely. In this paper, we construct as model that is still based on replicator equations, but where spatial localisation with respect to the number of interactions between individuals is incorporated. Using this model, we are able to successfully reproduce the dynamics seen in more complex individual-based models.
Evolution, Cooperation, Replicator Dynamics, Game Theory
978-3-540-74912-7
605-614
Springer
Powers, Simon T.
99f673bb-debc-4c1f-90d3-78724a6020bb
Watson, Richard A.
ce199dfc-d5d4-4edf-bd7b-f9e224c96c75
e Costa, Fernando A.
Rocha, Luis M.
Costa, Ernesto
Harvey, Inman
Coutinho, António
Powers, Simon T. and Watson, Richard A., (2007) Investigating the Evolution of Cooperative Behaviour in a Minimally Spatial Model e Costa, Fernando A., Rocha, Luis M., Costa, Ernesto, Harvey, Inman and Coutinho, António (eds.) In Advances in Artificial Life : Proceedings of the Ninth European Conference on Artificial Life (ECAL 2007). Springer., pp. 605-614.

Powers, Simon T. and Watson, Richard A., (2007) Investigating the Evolution of Cooperative Behaviour in a Minimally Spatial Model e Costa, Fernando A., Rocha, Luis M., Costa, Ernesto, Harvey, Inman and Coutinho, António (eds.) In Advances in Artificial Life : Proceedings of the Ninth European Conference on Artificial Life (ECAL 2007). Springer., pp. 605-614.

Record type: Conference or Workshop Item (Paper)

Abstract

It is well known that the evolution of cooperative behaviour is dependant upon certain environmental conditions. One such condition that has been extensively studied is the use of a spatially structured population, whereby cooperation is favoured by a reduced number of interactions between cooperators and selfish cheaters. However, models that address the role of spatial structure typically use an individual-based approach, which can make analysis unnecessarily complicated. By contrast, non-spatial population genetics models usually consist entirely of a set of replicator equations, thereby simplifying analysis. Unfortunately, these models cannot traditionally be used to take account of spatial structure, since they assume that interaction between any pair of individuals in a population is equally likely. In this paper, we construct as model that is still based on replicator equations, but where spatial localisation with respect to the number of interactions between individuals is incorporated. Using this model, we are able to successfully reproduce the dynamics seen in more complex individual-based models.

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More information

Published date: 2007
Additional Information: Event Dates: 10/09/07-14/09/07
Venue - Dates: the 9th European Conference on Artificial Life (ECAL 2007), Portugal, 2007-09-10 - 2007-09-14
Keywords: Evolution, Cooperation, Replicator Dynamics, Game Theory
Organisations: Agents, Interactions & Complexity

Identifiers

Local EPrints ID: 264271
URI: http://eprints.soton.ac.uk/id/eprint/264271
ISBN: 978-3-540-74912-7
PURE UUID: bf222268-1803-43ae-b5cc-bd1a951f9de4

Catalogue record

Date deposited: 05 Jul 2007
Last modified: 18 Jul 2017 07:37

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Contributors

Author: Simon T. Powers
Editor: Fernando A. e Costa
Editor: Luis M. Rocha
Editor: Ernesto Costa
Editor: Inman Harvey
Editor: António Coutinho

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