Spatial evolutionary game theory: Hawks and Doves revisited

Abstract

Restricted accessMoreSectionsView PDF ToolsAdd to favoritesDownload CitationsTrack Citations ShareShare onFacebookTwitterLinked InRedditEmail Cite this article Killingback Timothy and Doebeli Michael 1996Spatial evolutionary game theory: Hawks and Doves revisitedProc. R. Soc. Lond. B.2631135–1144http://doi.org/10.1098/rspb.1996.0166SectionRestricted accessArticleSpatial evolutionary game theory: Hawks and Doves revisited Timothy Killingback Google Scholar Find this author on PubMed Search for more papers by this author and Michael Doebeli Google Scholar Find this author on PubMed Search for more papers by this author Timothy Killingback Google Scholar Find this author on PubMed Search for more papers by this author and Michael Doebeli Google Scholar Find this author on PubMed Search for more papers by this author Published:22 September 1996https://doi.org/10.1098/rspb.1996.0166AbstractWe consider a spatial generalization of evolutionary game theory in which strategies are distributed over a spatial array of sites. We assume that the strategy corresponding to a given site has local interactions with the strategies sitting on neighbouring sites, and that the strategies change if neighbouring strategies are doing better. After briefly setting the stage with a formal definition of spatial evolutionary game theory, we consider the spatial extension of the Hawk—Dove game, and we show that the results are qualitatively different from those obtained from classical evolutionary game theory. For example, the proportion of Hawks in the population is in general lower in the spatial game than in the classical one. We also consider spatial generalizations of the extensions of the Hawk—Dove game obtained by including strategies such as Retaliator and Bully. Here, too, the results from the spatial game are very different from the classical results. In particular, with space Retaliator is a much more successful strategy than one would expect from classical considerations. This suggests that, in general, spatial structure may facilitate the evolution of strategies such as Retaliator, which do not necessarily prosper classically, and which are reminiscent of the ‘nice’, ‘provokable’ and ‘forgiving’ strategies which seem to play a central role in the evolution of cooperation. The results indicate that including spatial structure in evolutionary game theory is a fruitful extension.FootnotesThis text was harvested from a scanned image of the original document using optical character recognition (OCR) software. As such, it may contain errors. Please contact the Royal Society if you find an error you would like to see corrected. Mathematical notations produced through Infty OCR. 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Mosleh M and Rand D Thinking Fast and Slow on Networks: Co-evolution of Cognition and Cooperation in Structured Populations, SSRN Electronic Journal, 10.2139/ssrn.3108220 This Issue22 September 1996Volume 263Issue 1374 Article InformationDOI:https://doi.org/10.1098/rspb.1996.0166Published by:Royal SocietyPrint ISSN:0962-8452Online ISSN:1471-2954History: Manuscript received22/02/1996Manuscript accepted20/05/1996Published online01/01/1997Published in print22/09/1996 License:Scanned images copyright © 2017, Royal Society Citations and impact Large datasets are available through Proceedings B's partnership with Dryad