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博弈中的特征流形:来自人类连续策略博弈实验的证据

Eigenmanifold in Game: Evidence from human continuous strategy game experiments

Wang Zhijian, Yao Qinmei, Shan Lixia, Wang Yijia, Zhang Chuchen

arXiv 2607.09782首次发表:更新:

发表机构

Experimental Social Science Laboratory, Zhejiang University(浙江大学实验社会科学实验室)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

研究连续策略博弈中进化博弈动力学假说,利用人类主体博弈实验数据,发现博弈稳态系统动态结构由特征流形线性叠加表征这一假说在连续策略博弈中也获显著支持。

AI 中文摘要

在进化博弈动力学中,存在一个假说,即博弈稳态系统的动态结构由特征流形的线性叠加表征,这具体取决于纳什均衡处的特征向量结构并最终由博弈动力学方程决定。该假说在离散策略博弈中获广泛支持。本文利用人类主体博弈的实验数据发现在连续策略博弈中该假说也得到显著支持。

英文摘要

In evolutionary game dynamics, there exists a hypothesis, which states that, the dynamic structure of the game's steady-state system is characterized by the linear superposition of eigenmanifolds, which depends specifically on the complex eigenvector structure at the Nash equilibrium and is ultimately governed by the game dynamics equations. This hypothesis has been supported widely in discrete strategy games. In continuous-strategy game, using experimental data from human-subject games, this paper finds that the hypothesis is also significantly supported. A simplified model is provided to capture the observed wave mechanics of the dominant eigenmanifold, which is the algebraic representation of the complex eigenvector, generated by the utility-driven evolutionary game dynamics.

论文原文

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