The evolutionary spatial prisoner's dilemma on a cycle

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dc.contributor.authorBurger, A. P.en_ZA
dc.contributor.authorVan der Merwe, M.en_ZA
dc.contributor.authorVan Vuuren, J. H.en_ZA
dc.date.accessioned2014-07-07T12:28:42Z
dc.date.available2014-07-07T12:28:42Z
dc.date.issued2013
dc.descriptionCITATION: Burger, A. P., Van der Merwe, M. & Van Vuuren, J. H. 2013. The evolutionary spatial prisoner's dilemma on a cycle. ORiON, 29(1):1–16, doi:10.5784/29-1-126.
dc.descriptionThe original publication is available at http://orion.journals.ac.za
dc.description.abstractIn this paper we consider the Evolutionary Spatial Prisoner's Dilemma (ESPD) in which players are modelled by the vertices of a cycle representing a spatial or organisational structure amongst the players. During each round of the ESPD every pair of adjacent players in the cycle play a classical prisoner's dilemma against each other, and they update their strategies from one round to the next based on the perceived success achieved by the strategies of neighbouring players during the previous round. In this way players are able to adapt and learn from each other's strategies as the game progresses without being able to rationalise good strategies. We characterise all steady states of the game as well as the structures of those initial states that lead to the emergence of persistent substates of cooperation over time. We finally determine analytically (i.e. without using simulation) the probability that the game's states will evolve from a randomly generated initial state towards a steady state which accommodates some form of persistent cooperation. More specifically, we show that there exists a range of game parameter values for which the likelihood of the emergence of persistent cooperation increases to almost certainty as the length of the cycle increases.en_ZA
dc.description.urihttp://orion.journals.ac.za/pub/article/view/126
dc.description.versionPublisher's version
dc.format.extent16 pages ; illustrations
dc.identifier.citationBurger, A. P., Van der Merwe, M. & Van Vuuren, J. H. 2013. The evolutionary spatial prisoner's dilemma on a cycle. ORiON, 29(1):1–16, doi:10.5784/29-1-126.
dc.identifier.issn2224-0004 (online)
dc.identifier.issn0259-191X (print)
dc.identifier.otherdoi:10.5784/29-1-126
dc.identifier.urihttp://hdl.handle.net/10019.1/94060
dc.language.isoen
dc.publisherOperations Research Society of South Africa (ORSSA)
dc.rights.holderAuthors retain copyright
dc.subjectEvolutionary prisoner’s dilemmaen_ZA
dc.subjectPersistence of cooperationen_ZA
dc.subjectGame theoryen_ZA
dc.titleThe evolutionary spatial prisoner's dilemma on a cycleen_ZA
dc.typeArticle
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