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Evolution of learning strategies in temporally and spatially variable environments: A review of theory

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  • Aoki, Kenichi
  • Feldman, Marcus W.

Abstract

The theoretical literature from 1985 to the present on the evolution of learning strategies in variable environments is reviewed, with the focus on deterministic dynamical models that are amenable to local stability analysis, and on deterministic models yielding evolutionarily stable strategies. Individual learning, unbiased and biased social learning, mixed learning, and learning schedules are considered. A rapidly changing environment or frequent migration in a spatially heterogeneous environment favors individual learning over unbiased social learning. However, results are not so straightforward in the context of learning schedules or when biases in social learning are introduced. The three major methods of modeling temporal environmental change–coevolutionary, two-timescale, and information decay–are compared and shown to sometimes yield contradictory results. The so-called Rogers’ paradox is inherent in the two-timescale method as originally applied to the evolution of pure strategies, but is often eliminated when the other methods are used. Moreover, Rogers’ paradox is not observed for the mixed learning strategies and learning schedules that we review. We believe that further theoretical work is necessary on learning schedules and biased social learning, based on models that are logically consistent and empirically pertinent.

Suggested Citation

  • Aoki, Kenichi & Feldman, Marcus W., 2014. "Evolution of learning strategies in temporally and spatially variable environments: A review of theory," Theoretical Population Biology, Elsevier, vol. 91(C), pages 3-19.
  • Handle: RePEc:eee:thpobi:v:91:y:2014:i:c:p:3-19
    DOI: 10.1016/j.tpb.2013.10.004
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    References listed on IDEAS

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    1. Marcus W. Feldman & Kenichi Aoki & Jochen Kumm, 1996. "Individual Versus Social Learning: Evolutionary Analysis in a Fluctuating Environment," Working Papers 96-05-030, Santa Fe Institute.
    2. Mary Hanania, 1959. "A generalization of the bush-mosteller model with some significance tests," Psychometrika, Springer;The Psychometric Society, vol. 24(1), pages 53-68, March.
    3. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    4. Aoki, Kenichi & Lehmann, Laurent & Feldman, Marcus W., 2011. "Rates of cultural change and patterns of cultural accumulation in stochastic models of social transmission," Theoretical Population Biology, Elsevier, vol. 79(4), pages 192-202.
    5. Nakahashi, Wataru, 2010. "Evolution of learning capacities and learning levels," Theoretical Population Biology, Elsevier, vol. 78(3), pages 211-224.
    6. Kobayashi, Yutaka & Aoki, Kenichi, 2012. "Innovativeness, population size and cumulative cultural evolution," Theoretical Population Biology, Elsevier, vol. 82(1), pages 38-47.
    7. Aoki, Kenichi & Wakano, Joe Yuichiro & Lehmann, Laurent, 2012. "Evolutionarily stable learning schedules and cumulative culture in discrete generation models," Theoretical Population Biology, Elsevier, vol. 81(4), pages 300-309.
    8. Aoki, Kenichi & Nakahashi, Wataru, 2008. "Evolution of learning in subdivided populations that occupy environmentally heterogeneous sites," Theoretical Population Biology, Elsevier, vol. 74(4), pages 356-368.
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    1. Aoki, Kenichi, 2015. "Modeling abrupt cultural regime shifts during the Palaeolithic and Stone Age," Theoretical Population Biology, Elsevier, vol. 100(C), pages 6-12.
    2. Ram, Yoav & Liberman, Uri & Feldman, Marcus W., 2019. "Vertical and oblique cultural transmission fluctuating in time and in space," Theoretical Population Biology, Elsevier, vol. 125(C), pages 11-19.
    3. Kobayashi, Yutaka & Ohtsuki, Hisashi, 2014. "Evolution of social versus individual learning in a subdivided population revisited: Comparative analysis of three coexistence mechanisms using the inclusive-fitness method," Theoretical Population Biology, Elsevier, vol. 92(C), pages 78-87.
    4. Mullon, Charles & Lehmann, Laurent, 2017. "Invasion fitness for gene–culture co-evolution in family-structured populations and an application to cumulative culture under vertical transmission," Theoretical Population Biology, Elsevier, vol. 116(C), pages 33-46.
    5. Ohtsuki, Hisashi & Wakano, Joe Yuichiro & Kobayashi, Yutaka, 2017. "Inclusive fitness analysis of cumulative cultural evolution in an island-structured population," Theoretical Population Biology, Elsevier, vol. 115(C), pages 13-23.
    6. Dominik Deffner & Anne Kandler, 2019. "Trait specialization, innovation, and the evolution of culture in fluctuating environments," Palgrave Communications, Palgrave Macmillan, vol. 5(1), pages 1-10, December.

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