フジエ リョウ   Fujie Ryo
  藤江 遼
   所属   神奈川大学  工学部 経営工学科
   職種   助教
言語種別 英語
発行・発表の年月 2011/11
形態種別 学術雑誌
査読 査読あり
標題 Self Organization of Social Hierarchy in Competitive Societies
執筆形態 共著
掲載誌名 Journal of the Physical Society of Japan
掲載区分国外
巻・号・頁 80(12),pp.124802
著者・共著者 R. Fujie and T. Odagaki
概要 The aim of this paper is to understand the condition of emergence of social hierarchy in a competitive society. We introduce a minimal model which incorporates cost for participating in fighting in order to understand effects of the difference between the gain for a winner and the loss for a loser. We show numerically and analytically that phase transition from an egalitarian state to hierarchical states occurs in two steps as the frequency of fighting is increased for any value of cost except when the reward is equal to the cost or to twice of the cost, and when no cost is required. Furthermore, we determine the phase diagram consisting of one egalitarian phase and three distinct hierarchical phases in the parameter space of the cost and the frequency of fighting.
DOI 10.1143/JPSJ.80.124802