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Mathematical Models of Social Evolution

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  • McElreath, Richard
  • Boyd, Robert

Abstract

Over the last several decades, mathematical models have become central to the study of social evolution, both in biology and the social sciences. But students in these disciplines often seriously lack the tools to understand them. A primer on behavioral modeling that includes both mathematics and evolutionary theory, Mathematical Models of Social Evolution aims to make the student and professional researcher in biology and the social sciences fully conversant in the language of the field. Teaching biological concepts from which models can be developed, Richard McElreath and Robert Boyd introduce readers to many of the typical mathematical tools that are used to analyze evolutionary models and end each chapter with a set of problems that draw upon these techniques. Mathematical Models of Social Evolution equips behaviorists and evolutionary biologists with the mathematical knowledge to truly understand the models on which their research depends. Ultimately, McElreath and Boyd’s goal is to impart the fundamental concepts that underlie modern biological understandings of the evolution of behavior so that readers will be able to more fully appreciate journal articles and scientific literature, and start building models of their own.

Suggested Citation

  • McElreath, Richard & Boyd, Robert, 2007. "Mathematical Models of Social Evolution," University of Chicago Press Economics Books, University of Chicago Press, number 9780226558264, September.
    • Handle: RePEc:ucp:bkecon:9780226558264
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    Cited by:

    1. Manuel Wäckerle & Bernhard Rengs & Wolfgang Radax, 2014. "An Agent-Based Model of Institutional Life-Cycles," Games, MDPI, vol. 5(3), pages 1-28, August.
    2. Waring, Timothy M., 2010. "New evolutionary foundations: Theoretical requirements for a science of sustainability," Ecological Economics, Elsevier, vol. 69(4), pages 718-730, February.
    3. Fehr, Nils-Henrik M. von der & Harbord, David, 2018. "On the Enforcement of Trade Embargoes by the Merchant Guilds," MPRA Paper 88431, University Library of Munich, Germany.
    4. Bunce, John, 2020. "Sustaining Cultural Diversity Through Cross-Cultural Competence," SocArXiv bwtvu, Center for Open Science.
    5. Baldini, Ryan, 2012. "Success-biased social learning: Cultural and evolutionary dynamics," Theoretical Population Biology, Elsevier, vol. 82(3), pages 222-228.
    6. Felix Riede & R. Bentley, 2008. "Increasing the relevance of mathematical approaches to demographic history," Quality & Quantity: International Journal of Methodology, Springer, vol. 42(2), pages 275-281, April.
    7. Paul E Smaldino & Mark Lubell, 2011. "An Institutional Mechanism for Assortment in an Ecology of Games," PLOS ONE, Public Library of Science, vol. 6(8), pages 1-7, August.
    8. Bunce, John A & McElreath, Richard, 2022. "Ethnicity and cultural dynamics," SocArXiv jr7u5, Center for Open Science.
    9. Anne Kandler & Charles Perreault & James Steele, 2012. "Editorial — Cultural Evolution In Spatially Structured Populations: A Review Of Alternative Modeling Frameworks," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 15(01n02), pages 1-18.
    10. Perry, Logan & Gavrilets, Sergey, 2019. "Foresight in a Game of Leadership," SocArXiv 84yxz, Center for Open Science.
    11. Harbord, David & Fehr, Nils Henrik von der, 2011. "Coordination, compensation and the expansion of trade: The merchant guilds revisited," MPRA Paper 40992, University Library of Munich, Germany.
    12. Xiaoyan Long & Franz J. Weissing, 2023. "Transient polymorphisms in parental care strategies drive divergence of sex roles," Nature Communications, Nature, vol. 14(1), pages 1-12, December.
    13. Christian Cordes, 2019. "The promises of a naturalistic approach: how cultural evolution theory can inform (evolutionary) economics," Journal of Evolutionary Economics, Springer, vol. 29(4), pages 1241-1262, September.
    14. Fukutomi, Masao & Kurokawa, Shun, 2018. "How much cost should reciprocators pay in order to distinguish the opponent's cooperation from the opponent's defection?," Applied Mathematics and Computation, Elsevier, vol. 336(C), pages 301-314.
    15. 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.
    16. Russell Weaver, 2015. "A Cross-Level Exploratory Analysis of “Neighborhood Effects” on Urban Behavior: An Evolutionary Perspective," Social Sciences, MDPI, vol. 4(4), pages 1-21, November.
    17. Jasper Muis, 2010. "Simulating Political Stability and Change in the Netherlands (1998-2002): an Agent-Based Model of Party Competition with Media Effects Empirically Tested," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 13(2), pages 1-4.
    18. Boyu Zhang & Yali Dong & Cheng-Zhong Qin & Sergey Gavrilets, 2023. "Kinship can hinder cooperation in heterogeneous populations," Papers 2305.19026, arXiv.org, revised Jun 2023.
    19. Dridi, Slimane & Lehmann, Laurent, 2014. "On learning dynamics underlying the evolution of learning rules," Theoretical Population Biology, Elsevier, vol. 91(C), pages 20-36.
    20. Kurokawa, Shun, 2019. "How memory cost, switching cost, and payoff non-linearity affect the evolution of persistence," Applied Mathematics and Computation, Elsevier, vol. 341(C), pages 174-192.
    21. Yutaka Horita, 2020. "Greater effects of mutual cooperation and defection on subsequent cooperation in direct reciprocity games than generalized reciprocity games: Behavioral experiments and analysis using multilevel model," PLOS ONE, Public Library of Science, vol. 15(11), pages 1-18, November.
    22. Jack Vromen, 2013. "Competition as an evolutionary process: Mark Blaug and evolutionary economics," Chapters, in: Marcel Boumans & Matthias Klaes (ed.), Mark Blaug: Rebel with Many Causes, chapter 9, pages 98-124, Edward Elgar Publishing.
    23. Kuechle, Graciela, 2014. "Regional concentration of entrepreneurial activities," Journal of Economic Behavior & Organization, Elsevier, vol. 102(C), pages 59-73.
    24. Waring, Timothy M. & Goff, Sandra H. & Smaldino, Paul E., 2017. "The coevolution of economic institutions and sustainable consumption via cultural group selection," Ecological Economics, Elsevier, vol. 131(C), pages 524-532.
    25. Nathan Berg & Jeong-Yoo Kim & Kyu Min Lee, 2021. "Why is parochialism prevalent?: an evolutionary approach," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 16(4), pages 769-796, October.

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