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Peer pressure and Generalised Lotka Volterra models

✍ Scribed by Peter Richmond; Lorenzo Sabatelli

Book ID
104077711
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
280 KB
Volume
344
Category
Article
ISSN
0378-4371

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✦ Synopsis

We develop a novel approach to peer pressure and Generalised Lotka-Volterra (GLV) models that builds on the development of a simple Langevin equation that characterises stochastic processes. We generalise the approach to stochastic equations that model interacting agents. The agent models recently advocated by Marsilli and Solomon are motivated. Using a simple change of variable, we show that the peer pressure model (similar to the one introduced by Marsilli) and the wealth dynamics model of Solomon may be (almost) mapped one into the other. This may help shed light in the (apparently) different wealth dynamics described by GLV and the Marsili-like peer pressure models.

📜 SIMILAR VOLUMES

Conservation laws for Lotka–Volterra mod
Conservation laws for Lotka–Volterra models
✍ Rainer Schimming 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 110 KB

## Abstract We derive necessary and sufficient conditions on a Lotka–Volterra model to admit a conservation law of Volterra's type. The result and the proof for the corresponding linear algebra problem are given in graph‐theoretical terms; they refer to the directed graph which is defined by the co