Mathematics of kin- and group-selection: formally equivalent?

Evolution; International Journal of Organic Evolution
Arne Traulsen


Evolutionary game theory is a general mathematical framework that describes the evolution of social traits. This framework forms the basis of many multilevel selection models and is also frequently used to model evolutionary dynamics on networks. Kin selection, which was initially restricted to describe social interactions between relatives, has also led to a broader mathematical approach, inclusive fitness, that can not only describe social evolution among relatives, but also in group structured populations or on social networks. It turns out that the underlying mathematics of game theory is fundamentally different from the approach of inclusive fitness. Thus, both approaches-evolutionary game theory and inclusive fitness-can be helpful to understand the evolution of social traits in group structured or spatially extended populations.


Nov 21, 1979·Journal of Theoretical Biology·R Michod
Oct 1, 1978·Theoretical Population Biology·L L Cavalli-Sforza, M W Feldman
Jan 23, 1976·Science·R L Trivers, H Hare
Aug 1, 1970·Nature·G R Price
Jul 1, 1964·Journal of Theoretical Biology·W D Hamilton
Nov 5, 1998·Proceedings. Biological Sciences·S A Frank
Apr 14, 1999·Nature·P E Turner, L Chao
Jul 12, 2002·Nature·Benjamin KerrBrendan J M Bohannan
Oct 24, 2002·Journal of Theoretical Biology·Karen M Page, Martin A Nowak
Feb 7, 2004·Science·Martin A Nowak, Karl Sigmund
Apr 9, 2004·Nature·Martin A NowakDrew Fudenberg
Nov 4, 2004·Bulletin of Mathematical Biology·Christine TaylorMartin A Nowak
Jun 15, 2005·Journal of Theoretical Biology·Matthijs van Veelen
Sep 15, 2005·Proceedings of the National Academy of Sciences of the United States of America·Edward O Wilson, Bert Hölldobler
Feb 18, 2006·Proceedings of the National Academy of Sciences of the United States of America·F C SantosTom Lenaerts
May 26, 2006·Nature·Hisashi OhtsukiMartin A Nowak
Jun 17, 2006·Proceedings. Biological Sciences·Timothy KillingbackThomas Flatt
Jul 11, 2006·Proceedings of the National Academy of Sciences of the United States of America·Arne Traulsen, Martin A Nowak
Jul 25, 2006·Journal of Theoretical Biology·Hisashi Ohtsuki, Martin A Nowak
Aug 12, 2006·Proceedings. Biological Sciences·Hisashi Ohtsuki, Martin A Nowak
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Arne TraulsenChristoph Hauert
Aug 17, 2006·Journal of Evolutionary Biology·L Lehmann, L Keller
Sep 1, 2006·Trends in Ecology & Evolution·Jeffrey A FletcherDavid Sloan Wilson
Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Arne TraulsenLorens A Imhof
Dec 13, 2006·Science·Martin A Nowak
Feb 20, 2007·Journal of Evolutionary Biology·S A WestA Gardner
Mar 14, 2007·Journal of Theoretical Biology·Hisashi OhtsukiMartin A Nowak
Apr 10, 2007·Proceedings of the National Academy of Sciences of the United States of America·Laurent LehmannDenis Roze
Apr 28, 2007·Journal of Theoretical Biology·Geoff Wild, Arne Traulsen
May 23, 2007·Proceedings of the National Academy of Sciences of the United States of America·H Kern Reeve, Bert Hölldobler
May 25, 2007·Nature·Peter D TaylorGeoff Wild
Aug 23, 2007·Evolution; International Journal of Organic Evolution·Christine Taylor, Martin A Nowak
Aug 24, 2007·Current Biology : CB·Stuart A WestAndy Gardner
Aug 31, 2007·Journal of Theoretical Biology·Peter D TaylorGeoff Wild
Sep 11, 2007·Journal of Theoretical Biology·Hisashi OhtsukiMartin A Nowak
Sep 20, 2007·The American Naturalist·Adin Ross-GillespieAshleigh S Griffin
Oct 12, 2007·Journal of Theoretical Biology·Matthijs van Veelen, Astrid Hopfensitz
Oct 25, 2007·Journal of Evolutionary Biology·L LehmannD J T Sumpter
Jan 26, 2008·The Quarterly Review of Biology·David Sloan Wilson, Edward O Wilson
Mar 13, 2008·Current Biology : CB·Andy Gardner
Mar 14, 2008·Nature·John Wakeley
Mar 21, 2008·Nature·Anna DreberMartin A Nowak
Apr 4, 2008·Bulletin of Mathematical Biology·Arne TraulsenMartin A Nowak
Jul 11, 2008·Nature·Francisco C SantosJorge M Pacheco
Jul 16, 2008·Journal of Theoretical Biology·Immanuel Bomze, Christina Pawlowitsch
Sep 4, 2008·Proceedings. Biological Sciences·Jeffrey A Fletcher, Michael Doebeli

❮ Previous
Next ❯


Aug 27, 2010·Nature·Martin A NowakEdward O Wilson
May 12, 2012·BMC Evolutionary Biology·Bahram Houchmandzadeh, Marcel Vallade
Jul 9, 2010·PloS One·Bin WuArne Traulsen
Aug 31, 2013·PloS One·Roberto H SchonmannNestor Caticha
Apr 2, 2014·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Hisashi Ohtsuki
Sep 17, 2014·The American Naturalist·Jonathan Birch, James A R Marshall
Dec 29, 2012·Theoretical Population Biology·Joe Yuichiro WakanoYutaka Kobayashi
May 31, 2011·Trends in Ecology & Evolution·James A R Marshall
Mar 5, 2011·Journal of Evolutionary Biology·A GardnerG Wild
Sep 4, 2010·Evolution; International Journal of Organic Evolution·Hisashi Ohtsuki
Mar 5, 2010·Evolution; International Journal of Organic Evolution·Hans-Ulrich Stark
Aug 21, 2010·Evolution; International Journal of Organic Evolution·Aurora M NedelcuArmin Rashidi
Jan 5, 2016·Behavioral Ecology and Sociobiology·Gavin M LeightonHolger Kolberg
May 9, 2015·Journal of Theoretical Biology·Benjamin Allen, Martin A Nowak
Jul 13, 2013·Current Biology : CB·Stuart A West, Andy Gardner
Aug 16, 2011·Journal of Theoretical Biology·Matthijs van VeelenMartijn Egas
Jan 28, 2012·Journal of Theoretical Biology·Martin A Nowak
Mar 23, 2011·Journal of Theoretical Biology·James A Damore, Jeff Gore
Aug 16, 2016·PLoS Computational Biology·Jorge PeñaArne Traulsen
Feb 23, 2012·Scientific Reports·Jonas CremerErwin Frey
May 10, 2016·F1000Research·Jos Kramer, Joël Meunier
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Bin WuArne Traulsen
Jun 13, 2015·Journal of the Royal Society, Interface·Anna MelbingerErwin Frey
Sep 1, 2010·Evolutionary Applications·Michael J WadeWilliam Muir
Sep 15, 2016·Physical Review. E·R J Requejo, A Díaz-Guilera
Apr 7, 2019·Nature Human Behaviour·Michael Muthukrishna, Joseph Henrich
Oct 22, 2019·Journal of Molecular Biology·J CremerE Frey

❮ Previous
Next ❯

Related Concepts

Trending Feeds


Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.


Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.


Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

© 2021 Meta ULC. All rights reserved