摘要

Quantum evolutionary stable strategies (ESSs) are considered as stable solutions to population games on the molecular level. The distributive diagram of the games is brought out in the light of their rescaled games, so that a convenient way to look for quantum ESSs of 2 x 2 symmetric games can be obtained. It is found that transpositions may take place when a game is quantized. They are related to the parameters in the classical payoff matrix and those of the initial quantum states. One can easily find quantum ESSs by referring to the tables and the figure shown in the main body. This paper draws an overall outline of NEs (Nash equilibria) and ESSs of this kind of game in the classical version as well as in the quantum version.