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Origin of Cooperators and Defectors: Difference between revisions
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Origin of Cooperators and Defectors (view source)
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In the simplest case with \(B(x+y) = b_2(x+y)^2+b_1(x+y)\) and \(C(x) = c_2 x^2+c_1 x\) the system can be fully analyzed and the dynamics is characterized by five different scenarios. Note that quadratic functions are the simplest ''interesting'' ones - with \(B(x+y)\) and \(C(x)\) linear, the dynamics is rather uninteresting and dull. | In the simplest case with \(B(x+y) = b_2(x+y)^2+b_1(x+y)\) and \(C(x) = c_2 x^2+c_1 x\) the system can be fully analyzed and the dynamics is characterized by five different scenarios. Note that quadratic functions are the simplest ''interesting'' ones - with \(B(x+y)\) and \(C(x)\) linear, the dynamics is rather uninteresting and dull. | ||
All of the following examples and suggestions are meant as inspirations for further experiments | All of the following examples and suggestions are meant as inspirations for further experiments. Each example opens a new page with a running lab with all necessary [[parameters]] set as appropriate to demonstrate the different scenarios. | ||
===Evolutionary dynamics if singular strategy exists=== | ===Evolutionary dynamics if singular strategy exists=== | ||
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== References == | == References == | ||
# Killingback, T., [http://www.zoology.ubc.ca/~Edoebeli/ Doebeli, M.] & [http://www.math.ubc.ca/~hauert/ Hauert, C.] (2010) Cooperation and Defection in the Tragedy of the Commons, Biological Theory 5, 3-6 [http://dx.doi.org/10.1162/BIOT_a_00019 doi: 10.1162/BIOT_a_00019]. | # Killingback, T., [http://www.zoology.ubc.ca/~Edoebeli/ Doebeli, M.] & [http://www.math.ubc.ca/~hauert/ Hauert, C.] (2010) Cooperation and Defection in the Tragedy of the Commons, Biological Theory 5, 3-6 [http://dx.doi.org/10.1162/BIOT_a_00019 doi: 10.1162/BIOT_a_00019]. | ||
# [http://www.zoology.ubc.ca/%7Edoebeli/ Doebeli, M.], [http://www.math.ubc.ca/~hauert/ Hauert, C.] & Killingback, T. (2004) The evolutionary origin of cooperators and defectors, [http://www.sciencemag.org ''Science''] '''306''', 859-862 [http://dx.doi.org/10.1126/science.1101456 doi: 10.1126/science.1101456]. | # [http://www.zoology.ubc.ca/%7Edoebeli/ Doebeli, M.], [http://www.math.ubc.ca/~hauert/ Hauert, C.] & Killingback, T. (2004) The evolutionary origin of cooperators and defectors, [http://www.sciencemag.org ''Science''] '''306''', 859-862 [http://dx.doi.org/10.1126/science.1101456 doi: 10.1126/science.1101456]. | ||
=== Press & News === | === Press & News === | ||
# [http://www.sciencenews.org/articles/20050115/fob2ref.asp ''When Laziness Pays: Math explains how cooperation and cheating evolve''] (2005) [http://www.sciencenews.org/ ScienceNews] '''167''' (3) 35 by Erika Klarreich (January 15). | # [http://www.sciencenews.org/articles/20050115/fob2ref.asp ''When Laziness Pays: Math explains how cooperation and cheating evolve''] (2005) [http://www.sciencenews.org/ ScienceNews] '''167''' (3) 35 by Erika Klarreich (January 15). | ||
# ''Egoismo e altruismo, sempre in equilibrio'' (2004) [http://www.corriere.it/ Il Corriere della Sera] (October 31) by Massimo Piattelli Palmarini.<br />''This article'' 'Egoism and altruism, always in equilibrium' ''appeared in an Italian national newspaper.'' | # ''Egoismo e altruismo, sempre in equilibrio'' (2004) [http://www.corriere.it/ Il Corriere della Sera] (October 31) by Massimo Piattelli Palmarini.<br />''This article'' 'Egoism and altruism, always in equilibrium' ''appeared in an Italian national newspaper.'' | ||
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== Acknowledgements == | == Acknowledgements == | ||
These fascinating research results would have never been achieved without the inspiring discussions and advice from Michael Doebeli and Timothy Killingback. The evolutionary origin of this collection of tutorials lies in Karl Sigmund's encouragement, scientific inspiration and advice. To conquer the tricky subtleties of Java the patience and competence of Urs Bill was invaluable. Financial support of the [http://www.snf.ch Swiss National Science Foundation] is gratefully acknowledged. | These fascinating research results would have never been achieved without the inspiring discussions and advice from Michael Doebeli and Timothy Killingback. The evolutionary origin of this collection of tutorials lies in Karl Sigmund's encouragement, scientific inspiration and advice. To conquer the tricky subtleties of Java the patience and competence of Urs Bill was invaluable. Financial support of the [http://www.snf.ch Swiss National Science Foundation] is gratefully acknowledged. | ||
[[Category:Tutorial]] | [[Category:Tutorial]] | ||
