Affiliation:
1. Department of Biology, Stanford University, Stanford, CA 94305
2. School of Mathematical Sciences, Tel Aviv University, Tel Aviv, Israel 69978
Abstract
Conformist and anticonformist transmission of dichotomous cultural traits (i.e., traits with two variants) have been studied both experimentally, in many species, and theoretically, with mathematical models. Signatures of types of conformity to polychotomous traits (with more than two variants; e.g., baby names and syllables in bird song) have been inferred from population-level data, but there are few models that include individual-level biases among more than two discrete variants. We generalize the standard dichotomous trait conformity model by Boyd and Richerson to incorporaten≥3role models andm≥2variants. Our analysis shows that in the case ofn=3role models, under anticonformity, the central polymorphic equilibriump*=(1m,…,1m)is globally stable, whereas under conformity, if initially the frequencies ofℓvariants are all equal to the maximum variant frequency in the population, there is global convergence to an equilibrium in which the frequencies of these variants are all1ℓand all other variants are absent. With a general numbernof role models, the same result holds with conformity, whereas under anticonformity, global convergence is not guaranteed, and there may be stable frequency cycles or chaos. If both conformity and anticonformity occur for different configurations of variants among thenrole models, a variety of novel polymorphic equilibria may exist and be stable. Future empirical studies may use this formulation to directly quantify an individual’s level of (anti)conformist bias to a polychotomous trait.
Funder
John Templeton Foundation
Morrison Institute for Population and Resource Studies
Publisher
Proceedings of the National Academy of Sciences
Reference39 articles.
1. L. L. Cavalli-Sforza, M. W. Feldman, Cultural Transmission and Evolution: A Quantitative Approach (Princeton University Press, 1981).
2. R. Boyd, P. J. Richerson, Culture and the Evolutionary Process (University of Chicago Press, 1985).
3. The development of adaptive conformity in young children: effects of uncertainty and consensus
4. The evolutionary basis of human social learning
5. Conformist learning in nine-spined sticklebacks' foraging decisions
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. On random conformity bias in cultural transmission of polychotomous traits;Theoretical Population Biology;2024-04
2. Conditions that favour cumulative cultural evolution;Philosophical Transactions of the Royal Society B: Biological Sciences;2023-01-23
3. Polychotomous traits and evolution under conformity;Proceedings of the National Academy of Sciences;2022-09-19