

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  2013/04 
形態種別  学術雑誌 
査読  査読あり 
標題  A Model of Competition Among More than Two Languages 
執筆形態  共著 
掲載誌名  Journal of Statistical Physics 
掲載区分  国外 
巻・号・頁  151(12),pp.289303 
著者・共著者  R. Fujie, K. Aihara, and N. Masuda 
概要  We extend the AbramsStrogatz model for competition between two languages (Abrams and Strogatz in Nature 424:900, 2003) to the case of n (≥2) competing states (i.e., languages). Although the AbramsStrogatz model for n=2 can be interpreted as modeling either majority preference or minority aversion, the two mechanisms are distinct when n≥3. We find that the condition for the coexistence of different states is independent of n under the pure majority preference, whereas it depends on n under the pure minority aversion. We also show that the stable coexistence equilibrium and stable monopoly equilibria can be multistable under the minority aversion and not under the majority preference. Furthermore, we obtain the phase diagram of the model when the effects of the majority preference and minority aversion are mixed, under the condition that different states have the same attractiveness. We show that the multistability is a generic property of the model facilitated by large n. 
DOI  10.1007/s1095501206138 