Quo nomine vis vocari? A random-copying model explains the temporal sequence of papal names

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Autori principali: Lappo, Egor, Rosenberg, Noah A.
Natura: Preprint
Pubblicazione: 2026
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author Lappo, Egor
Rosenberg, Noah A.
author_facet Lappo, Egor
Rosenberg, Noah A.
contents The study of cultural evolution seeks to understand the processes by which behavioral variants are chosen in cultures over time, often as the result of large numbers of individual human choices. The selection of new popes, each of whom chooses a papal name -- typically reusing previous names in reference to previous popes -- is among the longest ongoing cultural processes taking place in a single human institution. Here, we use the record of papal names as a setting for long-term analysis of human cultural behavior. Although papal name choices are careful individual decisions, we find that the long-term sequence of papal names accords with predictions of a family of models developed in population genetics and stochastic processes -- Ewens sampling theory and the Chinese restaurant process -- which in the case of papal names amounts to randomly copying an existing name in proportion to its frequency, with the possibility of innovation of new names (mutations). Hence, despite the consideration that enters into choices of individual papal names, aggregate cultural behavior in a 2000-year old human process can potentially be described with simple laws. We discuss instances in which particular historical events might have caused temporary deviations from the random-copying model.
format Preprint
id arxiv_https___arxiv_org_abs_2605_07028
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Quo nomine vis vocari? A random-copying model explains the temporal sequence of papal names
Lappo, Egor
Rosenberg, Noah A.
Populations and Evolution
Physics and Society
The study of cultural evolution seeks to understand the processes by which behavioral variants are chosen in cultures over time, often as the result of large numbers of individual human choices. The selection of new popes, each of whom chooses a papal name -- typically reusing previous names in reference to previous popes -- is among the longest ongoing cultural processes taking place in a single human institution. Here, we use the record of papal names as a setting for long-term analysis of human cultural behavior. Although papal name choices are careful individual decisions, we find that the long-term sequence of papal names accords with predictions of a family of models developed in population genetics and stochastic processes -- Ewens sampling theory and the Chinese restaurant process -- which in the case of papal names amounts to randomly copying an existing name in proportion to its frequency, with the possibility of innovation of new names (mutations). Hence, despite the consideration that enters into choices of individual papal names, aggregate cultural behavior in a 2000-year old human process can potentially be described with simple laws. We discuss instances in which particular historical events might have caused temporary deviations from the random-copying model.
title Quo nomine vis vocari? A random-copying model explains the temporal sequence of papal names
topic Populations and Evolution
Physics and Society
url https://arxiv.org/abs/2605.07028