Interactive markovian models of ‘progressive’ trends
Bibliographic Data
| ID | 10142386 |
|---|---|
| Authors | Manjusha S Kulkarni (Homi Bhabha Centre for Science Education, corresponding author), Arvind Kumar (0009-0009-1715-5686, Tata Institute of Fundamental Research) |
| Year | 1989 |
| Volume | 14 |
| Issue | 1 |
| Pages | 45-65 |
| Publication date | 1989-01-01 |
| 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.1989.9990043 |
| OpenAlex | W2034072556 |
| Language | EN |
| Citations received | 2 |
| References cited | 5 |
Non‐linear Markovian models are investigated for a developing society stratified in terms of literacy or some other sociocultural attribute and characterized by two opposing features: a) progressive trends which forbid upper to lower state intergeneration transitions, and b) fertility differential in favour of lower states. The progressive trends in the models arise due to ‘attraction’ of the higher states. Two different limits are considered: one in which all upward transitions are permitted (Maximal Attractor Model) and the other in which only one‐step transitions are allowed (Adjacent Attractor Model). The nature of the critical points of the two models is examined analytically and/or numerically as appropriate to the case in question. In the first model, the society converges to the highest state in due course despite the fertility differential. The three‐state and four‐state cases of the models are considered in some detail. The main interesting result concerns the Adjacent Attractor Model. For the three‐state case, numerical computation reveals this model society locked in an endless cyclic pattern of evolution despite the existence of a progressive trend
Attractor · Computation · Mathematical analysis · Mathematical economics · Physics · State (computer science · Statistical physics · Applied Mathematics · Complex Systems and Time Series Analysis · Evolutionary Game Theory and Cooperation · Mathematics · Opinion Dynamics and Social Influence
| Unique citing works | 2 |
|---|---|
| Citations per year | 0.06 |
| Citation span | 1991 - 2013 (23) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 2 |