Phase transition and diffusivity in social hierarchies with attractive sites |
| |
| Affiliation: | 1. Department of Mechanical and Aerospace Engineering, Polytechnic Institute of New York University, Brooklyn, NY 11201, USA;2. Department of Mathematics and Computer Science, Clarkson University, Potsdam, NY 13699, USA;1. Fenomenos Nonlineales y Mecánica (FENOMEC), Department of Mathematics and Mechanics, Instituto de Investigacion en Matemáticas Aplicadas y Sistemas, Universidad Nacional Autónoma de México, 01000 México D.F., Mexico;2. School of Mathematics and Applied Statistics, University of Wollongong, Northfields Avenue, Wollongong, New South Wales, 2522, Australia;3. School of Mathematics and Maxwell Institute for Mathematical Sciences, University of Edinburgh, Edinburgh EH9 3FD, Scotland, UK;1. Posgrado en Filosofıa de la Ciencia, Instituto de Investigaciones Filosóficas UNAM, Ciudad Universitaria, Circuito Mario de la Cueva s/n, 04510 Mexico City, Mexico;2. Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, UNAM, Ciudad Universitaria, 04510 Mexico City, Mexico;3. Centro de Información Geoprospectiva, Berlín 209B, Del Carmen Coyoacán, 04100 Mexico City, Mexico;4. Facultad de Filosofıa y Letras, Ciudad Universitaria, UNAM Circuito Interior s/n, 04510 Mexico City, Mexico;1. Department of Mathematics, University of Bergen, Postbox 7800, 5020 Bergen, Norway;2. LAMA, UMR5127, CNRS - Université Savoie Mont Blanc, Campus Scientifique, 73376 Le Bourget-du-Lac Cedex, France;3. Univ. Grenoble Alpes, Univ. Savoie Mont Blanc, CNRS, LAMA, 73000 Chambéry, France;1. Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA;2. Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand;3. School of Mathematics, University of East Anglia, Norwich, NR4 7TJ, UK |
| |
| Abstract: | We study the effects of including a distribution of valuable or attractive sites in a two-dimensional lattice in self-organizing social hierarchies. Agents move aleatorily except in the case where an attractive site is located in their neighborhood. We find that the transition between an egalitarian society at low population density and a hierarchical one at high population density strongly depends on the distribution and percolation of strategic sites. Also, it is shown how agent diffusivity is closely related to the amount of inequality. The proposed model introduces an optimization aspect to the problem of social hierarchies since the system tends to maximize the occupation of attractive sites (wealth per capita). However, when the density of attractive sites is small, the system fails to reach this state, and is trapped in a local minimum, as in a glass or jam transition. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
