Stochastic evolution of competing social groups

Bibliographic Data

ID7517040
AuthorsKarmeshu (corresponding author), Karmeshu Karmeshu (University of Waterloo, corresponding author), R K Pathria (University of Waterloo)
Year1980
Volume7
Issue1
Pages47-58
Publication date1980-05-01
Peer ReviewedYes
Open AccessNo
TypeARTICLE
VenueJournal of Mathematical Sociology (JOURNAL)
Journal identifiersISSN: 0022-250X • E-ISSN: 1545-5874
PublisherTaylor & Francis (PUBLISHER • GB)
DOI10.1080/0022250x.1980.9989898
OpenAlexW2008551958
LanguageEN
Citations received7
References cited6

A model is considered for a situation in which two social groups compete with each other, ultimately resulting in the possible suppression of one of the groups. Using the method of system‐size expansion, an asymptotic analysis of the model, including the time evolution of both deterministic and stochastic aspects of the process, is carried out. The probability distribution of the maximum size attained by the weaker group, just before the commencement of its decline, is examined and the results are compared with the previous work of Osei and Thompson on the “supersession of one rumour by another.” The present model, which generalizes the Osei‐Thompson model in a number of ways, is also relevant to the problems of opinion formation and attempted conversion of people from one viewpoint to another

Econometrics · Group (periodic table · Mathematical economics · Physics · Social group · Statistics · Stochastic modelling · Stochastic process · Voter model · Complex Network Analysis Techniques · Evolutionary Game Theory and Cooperation · Mathematics · Opinion Dynamics and Social Influence · Psychology · Social Psychology

Tools

Open DOISci-Hub