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Author (up) Axelrod, R.; Hamilton, W.D.
Title The evolution of cooperation Type Journal Article
Year 1981 Publication Science Abbreviated Journal Science
Volume 211 Issue 4489 Pages 1390-1396
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Abstract Cooperation in organisms, whether bacteria or primates, has been a difficulty for evolutionary theory since Darwin. On the assumption that interactions between pairs of individuals occur on a probabilistic basis, a model is developed based on the concept of an evolutionarily stable strategy in the context of the Prisoner's Dilemma game. Deductions from the model, and the results of a computer tournament show how cooperation based on reciprocity can get started in an asocial world, can thrive while interacting with a wide range of other strategies, and can resist invasion once fully established. Potential applications include specific aspects of territoriality, mating, and disease.
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Notes 10.1126/science.7466396 Approved no
Call Number Equine Behaviour @ team @ Serial 4933
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Author (up) Hamilton, W.D.
Title Geometry for the selfish herd Type Journal Article
Year 1971 Publication Journal of theoretical biology Abbreviated Journal J. Theor. Biol.
Volume 31 Issue 2 Pages 295-311
Keywords Animals; Anura; *Behavior, Animal; Breeding; Communication; Evolution; Fear; Metallurgy; *Models, Biological; Probability; Snakes; *Spatial Behavior
Abstract This paper presents an antithesis to the view that gregarious behaviour is evolved through benefits to the population or species. Following Galton (1871) and Williams (1964) gregarious behaviour is considered as a form of cover-seeking in which each animal tries to reduce its chance of being caught by a predator.

It is easy to see how pruning of marginal individuals can maintain centripetal instincts in already gregarious species; some evidence that marginal pruning actually occurs is summarized. Besides this, simply defined models are used to show that even in non-gregarious species selection is likely to favour individuals who stay close to others.

Although not universal or unipotent, cover-seeking is a widespread and important element in animal aggregation, as the literature shows. Neglect of the idea has probably followed from a general disbelief that evolution can be dysgenic for a species. Nevertheless, selection theory provides no support for such disbelief in the case of species with outbreeding or unsubdivided populations.

The model for two dimensions involves a complex problem in geometrical probability which has relevance also in metallurgy and communication science. Some empirical data on this, gathered from random number plots, is presented as of possible heuristic value.
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ISSN 0022-5193 ISBN Medium
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Notes PMID:5104951 Approved no
Call Number refbase @ user @ Serial 771
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Author (up) Hamilton, W.D.
Title Selfish and Spiteful Behaviour in an Evolutionary Model Type Journal Article
Year 1970 Publication Nature Abbreviated Journal Nature
Volume 228 Issue Pages 1218-1220
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Notes 10.1038/2281218a0 Approved no
Call Number Equine Behaviour @ team @ Serial 4853
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Author (up) Hamilton, W.D.
Title The genetical evolution of social behaviour. I Type Journal Article
Year 1964 Publication Journal of Theoretical Biology Abbreviated Journal J. Theor. Biol.
Volume 7 Issue 1and 2 Pages 1-52
Keywords *Behavior; *Genetics; Humans; *Models, Theoretical
Abstract A genetical mathematical model is described which allows for interactions between relatives on one another's fitness. Making use of Wright's Coefficient of Relationship as the measure of the proportion of replica genes in a relative, a quantity is found which incorporates the maximizing property of Darwinian fitness. This quantity is named “inclusive fitness”. Species following the model should tend to evolve behaviour such that each organism appears to be attempting to maximize its inclusive fitness. This implies a limited restraint on selfish competitive behaviour and possibility of limited self-sacrifices.

Special cases of the model are used to show (a) that selection in the social situations newly covered tends to be slower than classical selection, (b) how in populations of rather non-dispersive organisms the model may apply to genes affecting dispersion, and (c) how it may apply approximately to competition between relatives, for example, within sibships. Some artificialities of the model are discussed.
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ISSN 0022-5193 ISBN Medium
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Notes PMID:5875341 Approved no
Call Number Equine Behaviour @ team @ Serial 5160
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