Before revision:  Nash equilibrium, its reality and accuracy , is firstly illustrated by the O'Neill (1987) game experiment . In this game experiments (O'Neill (1987), Binmore (2001) and Okano (2013)), we discover the fine structure in the human social cycling spectrum. With the eigencycle set from the eigenvectors in  game  dynamics equations, we can have the accuracy increased by an order of magnitude on the dynamics testing .
After revision:  Nash equilibrium, its reality and accuracy , is firstly illustrated by the O'Neill game experiment in game dynamics equations, we can have the accuracy increased by an order of magnitude on the dynamics testing .