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中国工业与应用数学学会会刊
主管:中华人民共和国教育部
主办:西安交通大学
ISSN 1005-3085  CN 61-1269/O1

工程数学学报

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异质性关注情境下关注度对交易者交易行为和期望收益的影响

丁月华1,   刘  唤2,   杨雨森1   

  1. 1. 太原科技大学经济与管理学院,太原 030024

    2. 山西省财政税务专科学校,太原 030024

  • 收稿日期:2023-02-18 出版日期:2025-10-15 发布日期:2025-10-15
  • 基金资助:
    山西省科技战略研究专项 (202204031401109);太原科技大学研究生教育创新项目 (SY2023046).

The Impact of Attention on Trading Behavior and Expected Return under Heterogeneous Attentions

DING Yuehua1,   LIU Huan2,   YANG Yusen1   

  1. 1. School of Economics and Management, Taiyuan University of Science and Technology, Taiyuan 030024

    2. School of Accounting, Shanxi Finance & Taxation College, Taiyuan 030024
  • Received:2023-02-18 Online:2025-10-15 Published:2025-10-15
  • Supported by:
    The Special Project on Science and Technology Strategy Research of Shanxi Province (202204031401109); the Graduate Education Innovation Project of Taiyuan University of Science and Technology (SY2023046).

摘要:

借鉴 1985 年 Kyle 模型的分析框架,建立了基于异质关注的竞争交易模型,考虑在只有一个风险资产的金融市场中,存在三类风险中性的交易者:两个具有不同关注度的关注交易者、流动性交易者和做市商,按照关注度的不同,着重考虑了同质关注、一个有限关注而另一个完全疏忽、一个完全关注而另一个有限关注三种情形,揭示了异质性关注情境下关注度对交易行为和期望收益的影响机理。通过对线性均衡模型的求解发现:在三种情形下,有限关注者的期望收益均随着关注度的增大而增大,完全疏忽者的期望收益与关注度之间是倒 U 型关系,完全关注者的期望收益随关注度的增大而降低;在第一、第二种情形下,关注度对有限关注者交易强度的影响是非线性的,并与信号中的噪音含量有关,在第三种情形下,有限关注者的关注度与自身的交易强度之间是倒 U 型关系,而降低了完全关注者的交易强度。

关键词: 有限关注, 基本面, 异质性, 期望收益, 交易强度

Abstract:

The paper establishes a competitive trading model based on heterogeneous attentions, referring to the analytical framework of Kyle model in 1985. The model considers that there are three types of risk neutral traders in the financial market with only one risk asset: two attentive traders with different attentions, liquidity trader and market maker. According to the different levels of attention, three scenarios were mainly considered: homogeneous attention, one limited attention while the other completely neglected, and one complete attention while the other limited attention. The mechanism of the impact of attention on trading behavior and returns in heterogeneous attention scenarios was revealed. By solving the linear equilibrium solutions under the three scenarios, it is found that in all three scenarios, the expected returns of limited attentive trader increase with attention. The expected returns of completely negligent trader have an inverted U-shaped relationship with attention, while the expected returns of fully attentive trader decrease with increasing attention. In the case of the first and second scenarios, the impact of attention on the trading intensity of limited trader is related to the noise in the signal. In the third scenario, the attention of limited trader reduces the trading intensity of attentive trader, while it has an inverted U-shaped relationship with his own trading intensity.

Key words: limited attention, fundamentals, heterogeneity, expected return, trading intensity

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