Plateaux formation, abrupt transitions, and fractional states in a competitive population with limited resources
| dc.creator | Chan, H. Y. | |
| dc.creator | Lo, T. S. | |
| dc.creator | Hui, P. M. | |
| dc.creator | Johnson, N. F. | |
| dc.date | 2004-08-26 | |
| dc.date.accessioned | 2026-07-07T02:59:56Z | |
| dc.date.available | 2026-07-07T02:59:56Z | |
| dc.description | We study, both numerically and analytically, a Binary-Agent-Resource (B-A-R) model consisting of N agents who compete for a limited resource 1/2<L/N <1, where L is the maximum available resource per turn for all N agents. As L increases, the system exhibits well-defined plateaux regions in the success rate which are separated from each other by abrupt transitions. Both the maximum and the mean success rates over each plateau are 'quantized' -- for example, the maximum success rate forms a well-defined sequence of simple fractions as L increases. We present an analytic theory which explains these surprising phenomena both qualitatively and quantitatively. The underlying cause of this complex behavior is an interesting self-organized phenomenon in which the system, in response to the global resource level, effectively avoids particular patterns of historical outcomes. | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0408557 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0408557 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/24707 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Plateaux formation, abrupt transitions, and fractional states in a competitive population with limited resources | |
| dc.type | text |