Mean field model of a game for power
Abstract
Our aim is to model a game for power (equivalent to total energy) as a dynamical process, where an excess of power possessed by a player allows him to gain even more power. Such a positive feedback is often termed as the Matthew effect. Analytical and numerical methods allow to identify a set of stationary states, i.e. fixed points of the model dynamics. The positions of the unstable fixed points give an insight on the basins of attraction of the stable fixed points. The results are interpreted in terms of modeling of coercive power.
 Publication:

Physica A Statistical Mechanics and its Applications
 Pub Date:
 July 2019
 DOI:
 10.1016/j.physa.2019.03.110
 arXiv:
 arXiv:1802.02860
 Bibcode:
 2019PhyA..525..535K
 Keywords:

 Social systems;
 Power distribution;
 Nonlinear maps;
 Game theory;
 Physics  Physics and Society
 EPrint:
 16 pages, 6 figures