A stochastic model allowing interaction among individuals and its behavior for large populations

1 May 1980

journal article
research article
Published by Taylor & Francis in The Journal of Mathematical Sociology

Vol. 7 (1) , 73-90
https://doi.org/10.1080/0022250x.1980.9989900

Abstract

An important aspect of many societal and institutional processes is the way in which the involved individuals interact. Motivated by work of Conlisk (1976) we formulate a model which allows such interaction among a finite number of individuals. Conditions are established under which our model converges to an approximation suggested by Conlisk as the population becomes infinite.

Keywords

This publication has 11 references indexed in Scilit:

Eigenvector Status Proxies in Markov Chain Mobility Models
Sociological Methods & Research, 1979
DYNAMIC DISAGGREGATE CHOICE MODELS, WITH AN APPLICATION IN TRANSPORTATION
Decision Sciences, 1979
Product Quality in Markets Where Consumers are Imperfectly Informed
The Quarterly Journal of Economics, 1979
The sequential analysis of social interaction
Quarterly Journal of Speech, 1979
A stability theorem for an interactive Markov chain
The Journal of Mathematical Sociology, 1978
A dynamic model for social networks†
The Journal of Mathematical Sociology, 1977
Interactive markov chains
The Journal of Mathematical Sociology, 1976
Ergodic Theorems for Weakly Interacting Infinite Systems and the Voter Model
The Annals of Probability, 1975
Chains of Opportunity
Published by Harvard University Press ,1970
Social Mobility and Social Structure: Some Insights from the Linear Model
American Sociological Review, 1967