[go: up one dir, main page]
More Web Proxy on the site http://driver.im/
IDEAS home Printed from https://ideas.repec.org/p/tin/wpaper/20140013.html
   My bibliography  Save this paper

A Simple Model of Group Selection that cannot be analyzed with Inclusive Fitness

Author

Listed:
  • Matthijs van Veelen

    (University of Amsterdam)

  • Shishi Luo

    (Los Alamos National Laboratory, United States of America)

  • Burton Simon

    (University of Colorado Denver, United States of America)

Abstract
This discussion paper led to a publication in the 'Journal of Theoretical Biology' , 2014, 360, 279-289. A widespread claim in evolutionary theory is that every group selection model can be recast in terms of inclusive fitness. Although there are interesting classes of group selection models for which this is possible, we show that it is not true in general. With a simple set of group selection models, we show two distinct limitations that prevent recasting in terms of inclusive fitness. The first is a limitation across models. We show that if inclusive fitness is to always give the correct prediction, the definition of relatedness needs to change, continuously, along with changes in the parameters of the model. This results in infinitely many different definitions of relatedness - one for every parameter value - which strips relatedness of its meaning. The second limitation is across time. We show that one can find the trajectory for the group selection model by solving a partial differential equation, and that it is mathematically impossible to do this using inclusive fitness.

Suggested Citation

  • Matthijs van Veelen & Shishi Luo & Burton Simon, 2014. "A Simple Model of Group Selection that cannot be analyzed with Inclusive Fitness," Tinbergen Institute Discussion Papers 14-013/I, Tinbergen Institute.
    • Handle: RePEc:tin:wpaper:20140013
    as

    Download full text from publisher

    File URL: https://papers.tinbergen.nl/14013.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Martin A. Nowak & Corina E. Tarnita & Edward O. Wilson, 2010. "The evolution of eusociality," Nature, Nature, vol. 466(7310), pages 1057-1062, August.
    2. Theodore C. Bergstrom, 2003. "The Algebra of Assortative Encounters and the Evolution of Cooperation," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 5(03), pages 211-228.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Matthijs van Veelen, 2020. "The evolution of morality," Tinbergen Institute Discussion Papers 20-063/I, Tinbergen Institute.
    2. Matthijs van Veelen & Benjamin Allen & Moshe Hoffman & Burton Simon & Carl Veller, 2016. "Inclusive Fitness," Tinbergen Institute Discussion Papers 16-055/I, Tinbergen Institute.
    3. Aslihan Akdeniz & Matthijs van Veelen, 2019. "The cancellation effect at the group level," Tinbergen Institute Discussion Papers 19-073/I, Tinbergen Institute.
    4. Tverskoi, Denis & Senthilnathan, Athmanathan & Gavrilets, Sergey, 2021. "The dynamics of cooperation, power, and inequality in a group-structured society," SocArXiv 24svr, Center for Open Science.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Alger, Ingela, 2021. "On the evolution of male competitiveness," Journal of Economic Behavior & Organization, Elsevier, vol. 190(C), pages 228-254.
    2. Ingela Alger & Jörgen W. Weibull, 2013. "Homo Moralis—Preference Evolution Under Incomplete Information and Assortative Matching," Econometrica, Econometric Society, vol. 81(6), pages 2269-2302, November.
    3. Alger, Ingela & Weibull, Jörgen W., 2014. "Evolution leads to Kantian morality," TSE Working Papers 14-504, Toulouse School of Economics (TSE), revised Jun 2015.
    4. Catherine C Eckel & Enrique Fatas & Sara Godoy & Rick K Wilson, 2016. "Group-Level Selection Increases Cooperation in the Public Goods Game," PLOS ONE, Public Library of Science, vol. 11(8), pages 1-13, August.
    5. Som B Ale & Joel S Brown & Amy T Sullivan, 2013. "Evolution of Cooperation: Combining Kin Selection and Reciprocal Altruism into Matrix Games with Social Dilemmas," PLOS ONE, Public Library of Science, vol. 8(5), pages 1-8, May.
    6. Dimitry Rtischev, 2011. "Evolution of vulnerability to pain in interpersonal relations as a strategic trait aiding cooperation," Journal of Evolutionary Economics, Springer, vol. 21(5), pages 757-782, December.
    7. Aslihan Akdeniz & Matthijs van Veelen, 2019. "The cancellation effect at the group level," Tinbergen Institute Discussion Papers 19-073/I, Tinbergen Institute.
    8. Michael Foley & Rory Smead & Patrick Forber & Christoph Riedl, 2021. "Avoiding the bullies: The resilience of cooperation among unequals," PLOS Computational Biology, Public Library of Science, vol. 17(4), pages 1-18, April.
    9. Newton, Jonathan, 2017. "Shared intentions: The evolution of collaboration," Games and Economic Behavior, Elsevier, vol. 104(C), pages 517-534.
    10. Sun, Qipeng & Cheng, Qianqian & Wang, Yongjie & Li, Tao & Ma, Fei & Yao, Zhigang, 2022. "Zip-merging behavior at Y-intersection based on intelligent travel points," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
    11. OKASHA, Samir & WEYMARK, John A. & BOSSERT, Walter, 2013. "Inclusive Fitness Maximization: An Axiomatic Approach," Cahiers de recherche 2013-04, Universite de Montreal, Departement de sciences economiques.
    12. Ingela Alger & Jörgen W. Weibull, 2019. "Evolutionary Models of Preference Formation," Annual Review of Economics, Annual Reviews, vol. 11(1), pages 329-354, August.
    13. Alexandros Rigos & Heinrich H. Nax, 2015. "Assortativity evolving from social dilemmas," Discussion Papers in Economics 15/19, Division of Economics, School of Business, University of Leicester.
    14. Carsten K W De Dreu & Shaul Shalvi & Lindred L Greer & Gerben A Van Kleef & Michel J J Handgraaf, 2012. "Oxytocin Motivates Non-Cooperation in Intergroup Conflict to Protect Vulnerable In-Group Members," PLOS ONE, Public Library of Science, vol. 7(11), pages 1-7, November.
    15. Fix, Blair, 2020. "Economic Development and the Death of the Free Market," SocArXiv g86am, Center for Open Science.
    16. Wakano, Joe Yuichiro & Ohtsuki, Hisashi & Kobayashi, Yutaka, 2013. "A mathematical description of the inclusive fitness theory," Theoretical Population Biology, Elsevier, vol. 84(C), pages 46-55.
    17. Terence C. Burnham & Jay Phelan, 2023. "Ordinaries 13: apparent spite & apparent altruism," Journal of Bioeconomics, Springer, vol. 25(3), pages 147-180, December.
    18. Alger, Ingela & Weibull, Jörgen W. & Lehmann, Laurent, 2020. "Evolution of preferences in structured populations: Genes, guns, and culture," Journal of Economic Theory, Elsevier, vol. 185(C).
    19. Han, Jia-Xu & Wang, Rui-Wu, 2023. "Complex interactions promote the frequency of cooperation in snowdrift game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    20. Alger, Ingela & Weibull, Jörgen W., 2016. "Morality: evolutionary foundations and policy implications," TSE Working Papers 16-702, Toulouse School of Economics (TSE).

    More about this item

    Keywords

    Group selection; inclusive fitness; kin selection; equivalence; social evolution;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:tin:wpaper:20140013. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tinbergen Office +31 (0)10-4088900 (email available below). General contact details of provider: https://edirc.repec.org/data/tinbenl.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.