基于差分游戏理论分析监督者和研究生之间的关系.
Fangfang Liu1, Ning Fan2, Jiangjun Zhu2
1School of Marxism, Chang'an University, Xi'an 710064, China.
Behavioral sciences (Basel, Switzerland)
|May 26, 2023
概括
合作关系显著提高了导师和研究生之间的学术进步和社区利益. 这项研究使用差分游戏理论来模拟这些动态,发现合作方法的结果比合作方法高22%.
科学领域:
- 游戏理论 游戏理论
- 学术发展学术发展
- 社会动力学 社会动力学
背景情况:
- 健康的导师-研究生关系对于学术成功和个人成长至关重要.
- 对这些关系的定量分析对于理解最佳动态至关重要.
研究的目的:
- 用差分游戏理论量化建模主管-研究生关系.
- 为了比较合作,非合作和Stackelberg游戏场景.
- 分析模型参数对学术和社区效益的影响.
主要方法:
- 在主管研究生社区中演化动态的数学建模.
- 构建客观的功能,以最大限度地提高个人和社区的利益.
- 为非合作,合作和斯塔克尔贝格场景制定和解决差异性游戏模型.
主要成果:
- 与非合作和斯塔克尔伯格情景相比,合作情景导致最佳学术水平和社区总利益增加22%.
- 对模型参数的分析揭示了在监管领导的斯塔克尔伯格游戏中影响结果的特定值.
- 超过一定水平的共享成本比率的增加不会进一步提高监管机构的最佳利益.
结论:
- 合作策略显著提高学术成绩和监督者-研究生关系的整体效益.
- 不同游戏理论为分析和优化这些学术合作提供了一个强大的框架.
- 了解参数的影响是最大限度地利用不同游戏理论结构的关键.
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