2003/12/21 by Roland Kay, Neil F. Johnson
Biochemistry, Genetics and Molecular Biology · Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · Social Sciences · #Biology #Complex Systems and Time Series Analysis #Computer science #Demography #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #Evolutionary biology #Function (biology) #Mathematics #Physics #Population #Sociology #Statistical physics #Statistics #Value (mathematics) #cond-mat.stat-mech #q-bio.QM
paper · pdf · doi:10.1103/physreve.70.056101
27 pages, 31 figures
arxiv created 2003/12/21 · openalex publication_date 2004/11/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a detailed discussion of the role played by memory, and the nature of self-induced shocks, in an evolutionary population competing for limited resources. Our study builds on a previously introduced multiagent system [Phys. Rev. Lett. 82, 3360 (1999)] which has attracted significant attention in the literature. This system exhibits self-segregation of the population based on the "gene" value p (where 0< or =p< or =1 ), transitions to "frozen" populations as a function of the global resource level, and self-induced large changes which spontaneously arise as the dynamical system evolves. We find that the large, macroscopic self-induced shocks that arise are controlled by microscopic changes within extreme subgroups of the population (i.e., subgroups with "gene" values p approximately 0 and p approximately 1).