论文标题
人类社交骑行范围
Human Social Cycling Spectrum
论文作者
论文摘要
本文研究了人类游戏行为实验中进化游戏动力学理论的现实和准确性。在古典游戏理论中，中心概念是纳什平衡，自1987年O'Neill Game实验的首次插图以来，现实和准确性就众所周知。在游戏动力学理论中，中心方法是动态方程，但是，它的现实和准确性很少，尤其是在高维游戏中。通过开发一种新的方法，即特征性方法和游戏动力学方程的特征向量，我们在同一实验中发现了循环的精细结构。我们表明，在人动态HEHAVIOR数据中，特征性方法可以通过数量级来提高准确性。由于特征向量在动态系统理论中是基础，该理论在自然，社会和虚拟世界中有应用，因此，预计特征周期的力量是可以的。受到高维度特征的启发，我们建议，数学概念，即“不变的歧管”，可能是候选游戏动力学理论的中心概念，例如古典游戏理论的固定点概念。
This paper investigates the reality and accuracy of evolutionary game dynamics theory in human game behavior experiments. In classical game theory, the central concept is Nash equilibrium, which reality and accuracy has been well known since the firstly illustration by the O'Neill game experiment in 1987. In game dynamics theory, the central approach is dynamics equations, however, its reality and accuracy is rare known, especially in high dimensional games. By develop a new approach, namely the eigencycle approach, with the eigenvectors from the game dynamics equations, we discover the fine structure of the cycles in the same experiments. We show that, the eigencycle approach can increase the accuracy by an order of magnitude in the human dynamic hehavior data. As the eigenvector is fundamental in dynamical systems theory which has applications in natural, social, and virtual worlds, the power of the eigencycles is expectedly. Inspired by the high dimensional eigencycles, we suggest that, the mathematical concept, namely 'invariant manifolds', could be a candidate as the central concept for the game dynamics theory, like the fixed point concept for classical game theory.
