论文标题
语言融合和差异的复制器突出器动力学
Replicator-mutator dynamics of linguistic convergence and divergence
论文作者
论文摘要
人们倾向于使自己对语言的使用与自己的群体的语言行为保持一致，并同时与外来群的语言使用不同。本文建议将这种社会语言身份维护现象建模为一个进化游戏，在该游戏中，个人发挥了作用，动态是通过复制器 - 密苏里州方程的多群扩展提供的。使用线性化，发现游戏中所有动态平衡的稳定性在其完全对称的两个人群特殊情况下。然后将该模型应用于青少年社会语言行为的经验测试案例。发现在控制语言突变速率的参数的独立价值下，经验证明的人口状态对应于游戏的许多稳定平衡之一。通过数值解决方案方法探索的游戏的不对称三群扩展，此外，系统预测了系统收敛的特定平衡。
People tend to align their use of language to the linguistic behaviour of their own ingroup and to simultaneously diverge from the language use of outgroups. This paper proposes to model this phenomenon of sociolinguistic identity maintenance as an evolutionary game in which individuals play the field and the dynamics are supplied by a multi-population extension of the replicator-mutator equation. Using linearization, the stabilities of all dynamic equilibria of the game in its fully symmetric two-population special case are found. The model is then applied to an empirical test case from adolescent sociolinguistic behaviour. It is found that the empirically attested population state corresponds to one of a number of stable equilibria of the game under an independently plausible value of a parameter controlling the rate of linguistic mutations. An asymmetric three-population extension of the game, explored with numerical solution methods, furthermore predicts to which specific equilibrium the system converges.
