| 基于BA 生长网络的产品市场演化分析 |
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| 引用本文： | 高齐圣,耿金花,方爱丽,张嗣瀛.基于BA 生长网络的产品市场演化分析[J].控制与决策,2007,22(5):554-557. |
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| 作者姓名： | 高齐圣 耿金花 方爱丽 张嗣瀛 |
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| 作者单位： | 1. 青岛大学,复杂性科学研究所,山东,青岛,266071
2. 青岛大学,复杂性科学研究所,山东,青岛,266071;东北大学,信息科学与工程学院,沈阳,110004 |
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| 基金项目： | 国家自然科学基金项目（70571041）;高校博士点专项基金项目（20051065002）;山东省“泰山学者”建设工程专项经费项目. |
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| 摘 要： | 基于BA生长网络的形成机理,提出产品市场和顾客选择的BA扩展模型.基于概率理论证明了主方程与Polya过程模型的等价性,据此探讨了描述顾客选择行为的概率函数类别对产品市场宏观行为的影响,包括线性概率模型、Logistic模型和抽样OC曲线模型及其不动点分析等.最后结合实例进行说明和验证.
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| 关 键 词： | 产品市场 BA网络 Polya过程 离散选择模型 |
| 文章编号： | 1001-0920（2007）05-0554-04 |
| 收稿时间： | 2006-03-23 |
| 修稿时间： | 2006-06-21 |
Analysis of product market evolution based on BA growing networks |
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| GAO Qi-sheng,GENG Jin-hua,FANG Ai-li,ZHANG Si-ying.Analysis of product market evolution based on BA growing networks[J].Control and Decision,2007,22(5):554-557. |
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| Authors: | GAO Qi-sheng GENG Jin-hua FANG Ai-li ZHANG Si-ying |
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| Affiliation: | 1. Institute of Complexity Science, Qingdao University, Qingdao 266071, China; 2. College of Information Science and Engineering, Northeastern University, Shenyang 110004, China |
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| Abstract: | Based on the development mechanism of BA growing networks,an extended BA model about product market and choice behavior of customers is proposed.The equivalence of master equation and Polya process model is proved by using the theory of probability.According to this,some kinds of probability functions which depict the customers' choice are discussed,including linear probability model,logistic model and OC curve model.With these models and the analysis of their fixed points,the influence to the macroscopical behavior of the market is investigated.At last,several examples are given to illustrate and validate the propsed conclusion. |
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| Keywords: | Product market BA networks Polya process Discrete choice model |
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