Dynamics of imitation
Bibliographic Data
| ID | 10142328 |
|---|---|
| Authors | John Conlisk (University of California San Diego, corresponding author), Jyh‐Chyi Gong (University of California San Diego), Ching H Tong (University of California San Diego) |
| Year | 2000 |
| Volume | 24 |
| Issue | 2 |
| Pages | 97-128 |
| Publication date | 2000-02-01 |
| Peer Reviewed | Yes |
| Open Access | No |
| Type | ARTICLE |
| Venue | Journal of Mathematical Sociology (JOURNAL) |
| Journal identifiers | ISSN: 0022-250X • E-ISSN: 1545-5874 |
| Publisher | Taylor & Francis (PUBLISHER • GB) |
| DOI | 10.1080/0022250x.2000.9990231 |
| OpenAlex | W2061884603 |
| Language | EN |
| Citations received | 1 |
| References cited | 19 |
In the model, each person in a large population chooses between two options, such as adhering to or not adhering to a social norm. People observe each others’ choices at random and adjust their adherence probabilities in imitative directions. It is known from earlier work that, under strong restrictions on the imitation, the distribution of adherence probabilities will either evolve upward toward a high adherence equilibrium or downward toward a low adherence equilibrium, depending on initial conditions. The intuition is that imitation leads to uniformity. Here we show that more general forms of imitation allow a much wider variety of outcomes. There can be a sizable number of equilibria and a variety of stability patterns. In mathematical form, the model is an interactive Markov chain
Cognitive science · Econometrics · Imitation · Intuition · Machine learning · Markov chain · Mathematical economics · Population · Sociology · Variety (cybernetics · Artificial Intelligence · Complex Network Analysis Techniques · Computer Science · Evolutionary Game Theory and Cooperation · Mathematics · Opinion Dynamics and Social Influence · Psychology · Social Psychology
Micromotives and macrobehavior
The Moral Economy of Communities
A Simple Model of Herd Behavior
Imitation and the dynamics of norms
A Theory of Fads, Fashion, Custom, and Cultural Change as Informational Cascades
Stability and monotonicity for interactive Markov chains
A stability theorem for an interactive Markov chain
Monotone mobility matrices
On interactive chains with finite populations
Interactive, threshold and non‐linear models for social systems
A stochastic model allowing interaction among individuals and its behavior for large populations
Interactive markov chains
Approximations for interactive Markov chains in discrete and continuous time
Social Mobility and Social Structure
The Economics of Convention
Threshold Models of Collective Behavior
| Unique citing works | 1 |
|---|---|
| Citations per year | 0.04 |
| Citation span | 2000 - 2000 (1) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 1 |