The evolution of cooperation

Science
R Axelrod, W D Hamilton

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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Mar 1, 2002·Human Nature : an Interdisciplinary Biosocial Perspective·Christophe Boesch
Mar 1, 2002·Human Nature : an Interdisciplinary Biosocial Perspective·Jon Grinnell
Mar 1, 2002·Human Nature : an Interdisciplinary Biosocial Perspective·Ernst FehrSimon Gächter
Jun 1, 2005·Human Nature : an Interdisciplinary Biosocial Perspective·Polly Wiessner
Jun 1, 2005·Human Nature : an Interdisciplinary Biosocial Perspective·John Ziker, Michael Schnegg
Sep 1, 2006·Perspectives on Psychological Science : a Journal of the Association for Psychological Science·Gregory T SmithAgnes M Annus
Feb 23, 2010·Immunopharmacology and Immunotoxicology·Yoram VodovotzGary An
Feb 18, 2016·Trends in Ecology & Evolution·David M P Jacoby, Robin Freeman
Dec 22, 2015·Wiley Interdisciplinary Reviews. Cognitive Science·Abigail A Marsh
Feb 19, 2015·Psychological Research·Alexander Soutschek, Torsten Schubert
Mar 19, 2016·Computational Intelligence and Neuroscience·Hyunsoo Park, Kyung-Joong Kim
Feb 9, 2016·Journal of Theoretical Biology·Heinrich H Nax, Alexandros Rigos
Jun 2, 2000·Annals of Human Biology·E Crognier
Feb 10, 2016·Scientific Reports·Stefano S K Kaburu, Nicholas E Newton-Fisher
Nov 14, 2015·Journal of Evolutionary Biology·Alexandre RoulinAmélie N Dreiss
Oct 1, 1994·Psychological Reports·N Stuckless, R Goranson
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Jan 16, 2013·Ecology Letters·Gordon G McNickle, Ray Dybzinski
Jul 15, 2003·The American Naturalist·William F MorrisWilliam G Wilson
Jun 17, 2008·The American Naturalist·Sonia KéfiMichel Loreau
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Oct 30, 2003·The American Naturalist·Judith L BronsteinWilliam F Morris
Sep 20, 2007·The American Naturalist·Adin Ross-GillespieAshleigh S Griffin
Jul 29, 2006·The American Naturalist·Jeffrey A Fletcher, Martin Zwick
Jan 23, 2004·The American Naturalist·Frédérique Dubois, Luc-Alain Giraldeau
Jan 13, 2016·Proceedings of the National Academy of Sciences of the United States of America·Adam Bear, David G Rand
Feb 26, 2016·Journal of Theoretical Biology·Jeremy Van Cleve
Feb 24, 2016·Journal of Theoretical Biology·Swami Iyer, Timothy Killingback
Jan 13, 2015·Behavioural Processes·Tarik HadzibeganovicXiao-Pu Han
Jul 15, 2015·Proceedings of the National Academy of Sciences of the United States of America·Kenneth A DodgeConcetta Pastorelli
Aug 12, 2015·Proceedings of the National Academy of Sciences of the United States of America·Ori Weisel, Shaul Shalvi
Feb 24, 2016·Scientific Reports·David A Gianetto, Babak Heydari
Dec 10, 2015·Journal of Theoretical Biology·Weifeng Jin, Fangyue Chen
Dec 7, 2013·Evolution; International Journal of Organic Evolution·Katy D Heath, John R Stinchcombe
Dec 25, 2012·Journal of Theoretical Biology·Marianne Marcoux, David Lusseau
Jan 15, 2016·Psychological Medicine·V B GradinJ D Steele
Sep 26, 2015·Experimental Brain Research·Li ZhengXiuyan Guo
Sep 18, 2012·Journal of Theoretical Biology·M D SantosJorge M Pacheco
Sep 29, 2012·Journal of Theoretical Biology·Irenaeus Wolff
Apr 13, 2015·Science China. Life Sciences·Rui-Wu WangStephen G Compton
Aug 4, 2015·Ecology·Robert A RagusoJennifer S Thaler
May 5, 2012·Journal of Theoretical Biology·Cédric Sueur
Mar 13, 2012·Theoretical Population Biology·Kuiying DengTianguang Chu
Jan 7, 2016·Biological Reviews of the Cambridge Philosophical Society·Gabriele Schino, Filippo Aureli
Aug 9, 2011·Journal of Theoretical Biology·Shinsuke Suzuki, Hiromichi Kimura
Aug 10, 2011·Journal of Theoretical Biology·Tatsuya Sasaki, Tatsuo Unemi
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Sep 3, 2011·Theoretical Population Biology·József Garay, Zoltán Varga
Jan 6, 2016·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·P Hammerstein, Ronald Noë
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Jan 6, 2016·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Manfred Milinski
Jan 6, 2016·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Gerald S WilkinsonDanielle M Adams
Jun 15, 2011·Evolution and Human Behavior : Official Journal of the Human Behavior and Evolution Society·C Athena Aktipis
Apr 23, 2011·Journal of Theoretical Biology·Joost C M Uitdehaag
Jan 11, 2011·Journal of Theoretical Biology·Jorge PeñaMarco Tomassini
Dec 18, 2010·Journal of Theoretical Biology·Lang CaoKazuyuki Aihara
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Feb 18, 2016·Proceedings of the National Academy of Sciences of the United States of America·Anthea PunAndrew Scott Baron
May 16, 2014·Science China. Life Sciences·Rui-Wu WangNatasha L Wiggins
Jun 15, 2010·Journal of Theoretical Biology·David G RandHisashi Ohtsuki
Jun 18, 2010·Cognitive Psychology·Luke J ChangAlan G Sanfey
Mar 17, 2010·Theoretical Population Biology·Shun KurokawaYasuo Ihara
Jan 26, 2010·Journal of Theoretical Biology·Hisashi Ohtsuki
Feb 13, 2010·Journal of Theoretical Biology·A Németh, K Takács
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Nov 4, 2015·Attachment & Human Development·Markus PaulusLilith König
Oct 20, 2009·Bio Systems·Matjaz Perc, Attila Szolnoki
Nov 4, 2009·Bio Systems·Gunther F Neumann, Gottfried Jetschke
Sep 29, 2009·Trends in Neurosciences·Aron K BarbeyJordan Grafman
Dec 29, 2015·Biology & Philosophy·P A RyanR A Watson
Sep 19, 2009·Journal of Theoretical Biology·Valentina RossettiHomayoun C Bagheri
Dec 30, 2014·Journal of Theoretical Biology·Hang QiGuangchao Wang
Sep 9, 2009·Trends in Ecology & Evolution·Jens KrauseStefan Krause
Jun 10, 2009·Cognition·Peter DeScioli, Robert Kurzban
Dec 8, 2014·Journal of Theoretical Biology·Paul RauwolfJoanna J Bryson
Jun 30, 2009·Veterinary Parasitology·Marcelo Beltrão Molento
Jun 23, 2009·International Journal of Law and Psychiatry·Jeff Victoroff
Jul 21, 2009·Journal of Theoretical Biology·Max O SouzaFrancisco C Santos
Sep 30, 2014·Journal of Theoretical Biology·Peter J EnyeartAndrew D Ellington
Apr 11, 2009·Journal of Theoretical Biology·Corina E TarnitaMartin A Nowak
Mar 3, 2009·Theoretical Population Biology·Sabin Lessard, Philippe Lahaie
Dec 18, 2015·Scientific Reports·Andrew J KingM Rowan Brown
Mar 17, 2009·Journal of Theoretical Biology·Luis G Moyano, Angel Sánchez
Feb 3, 2009·Trends in Parasitology·Simon Fellous, Lucie Salvaudon
Dec 17, 2015·Scientific Reports·Mylene Quervel-ChaumetteF Range
Nov 14, 2015·Health Marketing Quarterly·Roger Lee Mendoza
Jun 6, 2009·Journal of Theoretical Biology·António RodriguesAkiko Satake
Jan 28, 2009·Journal of Theoretical Biology·István Scheuring
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Nov 22, 2008·Trends in Ecology & Evolution·Andrew F Russell, Jonathan Wright
Oct 28, 2008·Trends in Ecology & Evolution·Laurent LehmannM W Feldman
Oct 28, 2008·Journal of Theoretical Biology·Takuya Sekiguchi, Mayuko Nakamaru
Oct 8, 2008·Journal of Theoretical Biology·Mayuko Nakamaru, Ulf Dieckmann
Oct 22, 2008·Journal of Theoretical Biology·David G RandMartin A Nowak
Oct 18, 2008·Bio Systems·David Newth, David Cornforth
Aug 13, 2008·Journal of Theoretical Biology·Véronique Ladret, Sabin Lessard
Dec 10, 2015·Scientific Reports·Yichao ZhangShuigeng Zhou
Aug 12, 2008·Animal Reproduction Science·Nicole M WeissenböckThomas Ruf
Jul 7, 1984·Journal of Theoretical Biology·K Aoki
Jun 7, 1990·Journal of Theoretical Biology·A J Robson
Jun 21, 1990·Journal of Theoretical Biology·L D Hurst
Aug 9, 1990·Journal of Theoretical Biology·R Boyd, P J Richerson
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May 21, 2008·Theoretical Population Biology·Laureano Castro, Miguel A Toro
Mar 28, 2008·Journal of Theoretical Biology·Y KamimuraHiroshi Ito
Apr 29, 2008·Journal of Theoretical Biology·Szabolcs SzámadóIstván Scheuring
Apr 22, 2008·Journal of Theoretical Biology·Jesús Gómez-GardeñesYamir Moreno
Feb 26, 2008·Journal of Theoretical Biology·Hisashi Ohtsuki, Martin A Nowak
Dec 14, 2007·Journal of Theoretical Biology·Jorge M PachecoMartin A Nowak
Feb 6, 2008·Journal of Theoretical Biology·Stefan SchusterDavid A Fell
Jan 8, 2008·Journal of Theoretical Biology·José A CuestaAngel Sánchez
Nov 30, 2007·Journal of Theoretical Biology·Raúl JiménezAngel Sánchez
Mar 10, 2016·Evolutionary Computation·Paweł Liskowski, Krzysztof Krawiec
Sep 21, 2007·Trends in Cognitive Sciences·Pendleton Read Montague
Aug 19, 2007·Behavioural Processes·Judith Korb, Jürgen Heinze
Aug 21, 2007·Behavioural Processes·Eva Skubic
Aug 21, 2007·Behavioural Processes·Ralph BergmüllerRedouan Bshary
Aug 21, 2007·Behavioural Processes·Gilbert Roberts, T N Sherratt
Sep 4, 2007·Behavioural Processes·J L Sachs, Dustin R Rubenstein
Sep 7, 2007·Behavioural Processes·Michael Taborsky
May 1, 2007·Journal of Theoretical Biology·Hisashi Ohtsuki, Martin A Nowak
May 8, 2007·Journal of Theoretical Biology·Lorens A ImhofMartin A Nowak
Mar 14, 2007·Journal of Theoretical Biology·Roger Härdling
Feb 14, 2007·Trends in Ecology & Evolution·Marc T J Johnson, John R Stinchcombe
Mar 6, 2007·Journal of Theoretical Biology·Philip H Crowley, Mary K Hart
Dec 16, 2006·Journal of Theoretical Biology·Lee Worden, S A Levin
Dec 22, 2006·Journal of Theoretical Biology·Shinsuke Suzuki, Eizo Akiyama
Sep 13, 2014·Bulletin of Mathematical Biology·Anne Seppänen, Kalle Parvinen
Oct 2, 2014·Bulletin of Mathematical Biology·Shaolin TanYao Chen
Mar 10, 2015·Journal of Mathematical Biology·Amira KebirSlimane Ben Miled
Jul 19, 2015·Theoretical Population Biology·Bernhard Voelkl
Nov 4, 2015·Frontiers in Psychology·Elena CañadasJuan Lupiáñez
Jul 6, 2014·Human Nature : an Interdisciplinary Biosocial Perspective·Marc Harvey
Sep 26, 2015·Scientific Reports·Simon J Brandl, David R Bellwood
Dec 17, 2014·Scientific Reports·Valerio Capraro, Alessandra Marcelletti
Mar 25, 2014·Scientific Reports·M D SantosJ F F Mendes
Nov 15, 2012·Scientific Reports·Tatjana KramaIndrikis Krams
Dec 17, 2014·Scientific Reports·Susan E ParksDavid N Wiley
Apr 29, 2015·Scientific Reports·Valerio Capraro
Feb 23, 2012·Scientific Reports·Jonas CremerErwin Frey
Aug 22, 2014·Scientific Reports·Yuan GaoRosa H M Chan
Aug 30, 2014·Scientific Reports·Yichao ZhangJihong Guan
Jan 20, 2015·Scientific Reports·José A CuestaAngel Sánchez
Jan 22, 2015·Scientific Reports·Hélène Barcelo, Valerio Capraro
Jun 10, 2014·Scientific Reports·Haibin Duan, Changhao Sun
Jun 10, 2015·Scientific Reports·Luis A Martinez-VaqueroTom Lenaerts
Jun 11, 2015·Scientific Reports·Steve Miller, Joshua Knowles
Sep 30, 2015·Scientific Reports·Peter R BlakeFelix Warneken
Mar 15, 2013·Scientific Reports·Shinsuke Suzuki, Hiromichi Kimura
Apr 8, 2015·Scientific Reports·David A Gianetto, Babak Heydari
Apr 14, 2015·The Journal of Social Psychology·Elizabeth C PinelMark Huneke
Aug 18, 2004·Journal of Evolutionary Biology·K R Foster
Nov 26, 2004·Evolution; International Journal of Organic Evolution·Kari A Segraves, Olle Pellmyr
Dec 22, 2004·Sociology of Health & Illness·Davina AllenPatricia Lyne
Sep 8, 2009·Journal of Evolutionary Biology·Marco Archetti
Jul 25, 2009·Evolution; International Journal of Organic Evolution·Laurent LehmannFrançois Rousset
Dec 10, 2008·British Journal of Psychology·Felix Warneken, Michael Tomasello
Jul 8, 2009·Annals of the New York Academy of Sciences·Tania Singer, Nikolaus Steinbeis
Jul 8, 2009·Annals of the New York Academy of Sciences·Elise C SeipMark Rotteveel
Oct 1, 2009·Topics in Cognitive Science·Luís M A Bettencourt
Feb 19, 2009·Evolution; International Journal of Organic Evolution·Daniel J Rankin, Michael Taborsky
May 16, 2009·BioEssays : News and Reviews in Molecular, Cellular and Developmental Biology·Huba J M KissPeter Csermely
May 13, 2008·Annals of the New York Academy of Sciences·W Troy Tucker, Scott Ferson
May 6, 2006·Journal of Evolutionary Biology·Francisco C Santos, Jorge M Pacheco
Aug 17, 2006·Journal of Evolutionary Biology·O Leimar, P Hammerstein
Aug 17, 2006·Journal of Evolutionary Biology·Laurent Lehmann, L Keller
Aug 17, 2006·Journal of Evolutionary Biology·J L Sachs
Aug 17, 2006·Journal of Evolutionary Biology·M van Baalen, V A A Jansen
Aug 17, 2006·Journal of Evolutionary Biology·R Boyd
Jun 20, 2008·Evolution; International Journal of Organic Evolution·Robert McBrideMichael Travisano
Jun 20, 2006·Journal of Evolutionary Biology·K R Foster, T Wenseleers
Mar 1, 2006·Managerial and Decision Economics : MDE·John ToobyMichael E Price
Aug 24, 2007·Journal of Evolutionary Biology·M C WhitlockS Yeaman
Nov 7, 2006·The New Phytologist·J L BronsteinMonica Geber
Aug 23, 2007·Evolution; International Journal of Organic Evolution·Christine Taylor, Martin A Nowak
Oct 5, 2007·The British Journal of Social Psychology·Sandy BogaertCarolyn Declerck
Jan 9, 2008·Journal of Evolutionary Biology·R Bshary, R Bergmüller
Mar 16, 2016·Proceedings of the National Academy of Sciences of the United States of America·Alex McAvoy, Christoph Hauert
Jun 30, 2007·Evolution; International Journal of Organic Evolution·Richard H Heineman, James J Bull
Aug 11, 2005·Human Brain Mapping·Rajan S PatelJames K Rilling
Jul 23, 2008·Journal of Evolutionary Biology·R Craig Maclean, C Brandon
Feb 20, 2007·Journal of Evolutionary Biology·Stuart A WestAndy Gardner
Feb 13, 2009·Evolution; International Journal of Organic Evolution·Stefanie KautzMartin Heil
Oct 21, 2011·Ecology Letters·Marco ArchettiDouglas W Yu
May 23, 2012·Cell Proliferation·Q Liu, Z Liu
Feb 28, 2013·The EMBO Journal·Jeff F Miller
Nov 26, 2010·Evolution; International Journal of Organic Evolution·Francisco Úbeda, Edgar A Duéñez-Guzmán
Dec 3, 2011·Evolution; International Journal of Organic Evolution·Sam P Brown, Donald A Levin
Dec 21, 2010·Evolution; International Journal of Organic Evolution·Charles L NunnWalter D Koenig
Nov 26, 2010·Evolution; International Journal of Organic Evolution·Marco Archetti
Dec 15, 2010·Nursing Philosophy : an International Journal for Healthcare Professionals·John Paley
Sep 18, 2012·Biological Reviews of the Cambridge Philosophical Society·R H Wiley
May 18, 2012·Journal of Evolutionary Biology·J Abe, Y Kamimura
Sep 4, 2010·Evolution; International Journal of Organic Evolution·Hisashi Ohtsuki
Mar 3, 2012·Evolution; International Journal of Organic Evolution·Jorge Peña
Dec 17, 2015·Annual Review of Entomology·Judith Korb, Jürgen Heinze
Nov 25, 2011·Journal of Evolutionary Biology·James H Hunt
Jan 29, 2013·Political Psychology·Michael Bang PetersenJohn Tooby
Apr 11, 2012·Evolution; International Journal of Organic Evolution·Jeff Smith
Aug 30, 2011·Social Issues and Policy Review·Jon K Maner, Douglas T Kenrick
Jun 3, 2010·BioEssays : News and Reviews in Molecular, Cellular and Developmental Biology·Scott A Wooldridge
Jan 8, 2013·Evolution; International Journal of Organic Evolution·Thomas Garcia, Silvia De Monte
Nov 15, 2012·Molecular Systems Biology·Hasan Celiker, Jeff Gore
Mar 3, 2012·Evolution; International Journal of Organic Evolution·G Sander van Doorn, Michael Taborsky
Mar 19, 2013·Journal of Evolutionary Biology·Z Song, M W Feldman
Sep 2, 2011·Molecular Ecology·Laurent Lehmann, François Rousset
Jan 1, 2011·Wiley Interdisciplinary Reviews. Cognitive Science·Aron K Barbey, Jordan Grafman
May 24, 2011·Journal of Evolutionary Biology·Nichola J Raihani, Redouan Bshary
Sep 10, 2010·Journal of Evolutionary Biology·L Lettieri, J T Streelman
Apr 17, 2010·Evolution; International Journal of Organic Evolution·Joel W McGlothlinEdmund D Brodie
Nov 11, 2010·Evolution; International Journal of Organic Evolution·Marco Archetti, István Scheuring
Jul 28, 2011·Evolution; International Journal of Organic Evolution·James A Damore, Jeff Gore
Jul 25, 2014·Journal of Evolutionary Biology·P L Schwagmeyer
Mar 19, 2016·Bulletin of Mathematical Biology·M WangZ Wu
Jun 10, 2014·Evolution; International Journal of Organic Evolution·Gregory A K WyattStuart A West