消费者有限理性选择演化模型的动力学分析  

Dynamical Analysis on an Evolutionary Model of Boundedly Rational Consumers

作　　者：顾恩国[1] 向蕾[1] 李晓东[1] 李远平[1] 

机构地区：[1]中南民族大学数学与统计学学院,武汉430074

出　　处：《中南民族大学学报（自然科学版）》2012年第4期116-121,共6页Journal of South-Central University for Nationalities：Natural Science Edition

基　　金：国家自然科学基金资助项目(10871209)

摘　　要：假设消费者的消费是有限理性的,建立了一个描述消费者选择与偏好变化的动力学模型,研究了正不动点的存在性、局部稳定性及局部分叉,用数值方法研究了反映消费者最初选择和偏好是否合理的可行吸引域.Under the assumption that consumer is boundedly rational, a dynamical model is established to describe the changes of consumers＇ choice and preference. The existence of positive equilibrium and its local stability and bifurcation are studied, and then the numerical methods are used to study the feasible domain of attractions which reflects whether the consumers＇ first choice and preference are reasonable.

关 键 词：效用函数 正不动点 中心流形 倍周期分叉 可行吸引域 

分 类 号：F133.3[经济管理—世界经济]