Eigenmanifold in Game: Evidence from human continuous strategy game experiments

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

Eigenmanifold in Game: Evidence from human continuous strategy game experiments

Computer Science and Game Theory 2026-07-08 v1

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

Abstract

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 eigenvector structure at the Nash equilibrium and is ultimately governed by the game dynamics equations. This hypotheses has been supported widely in discrete strategy game. In continuous -- strategy game, using experimental data from human -- subject games, this paper finds that the hypothesis is supported in significant, too.

Cite

@article{arxiv.2607.09782,
  title  = {Eigenmanifold in Game: Evidence from human continuous strategy game experiments},
  author = {Wang Zhijian and Yao Qinmei and Shan Lixia and Wang Yijia and Zhang Chuchen},
  journal= {arXiv preprint arXiv:2607.09782},
  year   = {2026}
}