Bulletin of the American Physical Society
APS March Meeting 2011
Volume 56, Number 1
Monday–Friday, March 21–25, 2011; Dallas, Texas
Abstract: C1.00227 : Self organization of social hierarchy in competitive societies
Author:
We investigate self organization of social hierarchy in a
competitive
society where all individuals have rights to participate in
fighting. The
winning probability of an individual against an opponent depends
on the
difference of their wealth. We introduce cost to participate in
the fighting
and show that the emergence of the hierarchical society depends
strongly on
the ratio of the cost to the reward for the winner. We show
numerically and
analytically that the phase transition occurs in two steps for
most values
of the ratio. Furthermore, we determine the phase diagram as a
function of
the ratio and the probability of participating in fighting. We
show that
there are four different phases in the parameter space, one
egalitarian
phase and three distinct hierarchical phases
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2011.MAR.C1.227
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