Fixation Results for the Two-Feature Axelrod Model with a Variable Number of Opinions

Nicolas Lanchier () and Paul-Henri Moisson
Additional contact information
Nicolas Lanchier: Arizona State University

Journal of Theoretical Probability, 2016, vol. 29, issue 4, 1554-1580

Abstract: Abstract The Axelrod model is a spatial stochastic model for the dynamics of cultures that includes two key social mechanisms: homophily and social influence, respectively, defined as the tendency of individuals to interact more frequently with individuals who are more similar and the tendency of individuals to become more similar when they interact. The original model assumes that individuals are located on the vertex set of an interaction network and are characterized by their culture, a vector of opinions about F cultural features, each of which offering the same number q of alternatives. Pairs of neighbors interact at a rate proportional to the number of cultural features for which they agree, which results in one more agreement between the two neighbors. In this article, we study a more general and more realistic version of the standard Axelrod model that allows for a variable number of opinions across cultural features, say $$q_i$$ q i possible alternatives for the ith cultural feature. Our main result shows that the one-dimensional system with two cultural features fixates when $$q_1 + q_2 \ge 6$$ q 1 + q 2 ≥ 6 .

Keywords: Interacting particle systems; Axelrod model; Random walks; Fixation; Primary; 60K35 (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10959-015-0623-y Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jotpro:v:29:y:2016:i:4:d:10.1007_s10959-015-0623-y

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/10959

DOI: 10.1007/s10959-015-0623-y

Access Statistics for this article

Journal of Theoretical Probability is currently edited by Andrea Monica

More articles in Journal of Theoretical Probability from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().