研究者情報 | 神奈川大学

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(1-2),pp.289-303
著者・共著者	R. Fujie, K. Aihara, and N. Masuda
概要	We extend the Abrams-Strogatz 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 Abrams-Strogatz 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/s10955-012-0613-8