von Neummann's and related scaling laws in rock-paper-scissors-type games

• Type: Article in International Scientific Journal
• Date: 2012

Authors

Avelino, PP (Author) FCUP; Bazeia, D (Author) Other; Losano, L (Author) Other; Menezes, J (Author) Other

Journal

Title: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Vol. 86

ISSN: 1539-3755

Publisher: American Physical Society

Indexing

ISI Web of Knowledge - 63 Citations

Scopus - 66 Citations

Other information

Authenticus ID: P-002-5G7

DOI: 10.1103/physreve.86.031119

Abstract (EN): We introduce a family of rock-paper-scissors-type models with ZN symmetry (N is the number of species), and we show that it has a very rich structure with many completely different phases. We study realizations that lead to the formation of domains, where individuals of one or more species coexist, separated by interfaces whose (average) dynamics is curvature driven. This type of behavior, which might be relevant for the development of biological complexity, leads to an interface network evolution and pattern formation similar to the ones of several other nonlinear systems in condensed matter and cosmology.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 5