Abstract: This paper proposes a dynamic social network model for the competition among three languages with agent based modeling method and social circles theory. The parameters of the topological structure of constructed social network are more close to the parameters of actual social network. The individual agents in the network can give space attribute and can describe mixed habitation in a region with different languages and separation habitation in individual area with a language, so the constructed social network is endowed with dynamic characteristics. Taking the competition among three languages as an example, this paper proposes a method that the competition among three languages is decomposed into three times of bilingual competition, and presents a universal complex agent network model for multi-lingual competition and policy intervention. The agents on the network represent the individual which has the function of learning and forgetting. And each agent can gain a second or third language to become bilingual or trilingual by learning and can forget to become monolingual or bilingual. The vertical transmission of language is taken into account. The simulating analysis of the proposed model shows that the system parameters of language status, the proportion of people of different languages, the proportion of mobile population, social radius, living space model and integrated control measures can affect the results of simulation. The simulation results show that the model is close to the actual society and provides the basis for multi-lingual competition.

Key words: multi-lingual competition, social circle network, complex network, agent

摘要： 利用基于社会圈子理论的agent微观建模技术来构建语言竞争社会网络。构建的网络拓扑结构参数更接近实际社会网络参数，agent可以赋予空间属性，可以描述混合居住和分片聚居社会网络，而且具有动态特性。以三语竞争为例，提出了一种将网络中个体间的三语竞争分解为三个两种语言竞争的问题，给出了一种基于竞争原理的通用多语竞争复杂agent网络仿真建模方法。网络上的节点agent代表具有学习和遗忘功能的个体，每个个体均可以通过学习获得第二或第三种语言成为双语或三语者，也可以通过遗忘重新成为单语或双语者，同时agent考虑了语言的垂直传播。分析了语言地位、不同语言人口比例、移动人口比例、社会半径、不同语言人口的空间居住模式、语言传承率等因素及其综合调控措施对语言竞争的影响。仿真分析表明，该模型贴近实际社会，为多语竞争提供依据。

关键词: 多语竞争, 社会圈子, 复杂网络, agent