Smart-Strategy´s Invasion of Traditional Evolutionarily Stable Strategy Based on Hawk and Dove Game

In traditional researches of evolutionary game theory, each individual takes a pure strategy or mixed strategy which are both a priori and fixed. Yet we find that smart-strategy, which is based on individual´s memory and makes decision according to opponent´s historical actions information, makes the traditional evolutionarily stable strategy (ESS) lose the original standard of evolutionary stability. Specially, we use some basic thoughts of subliminal channel for reference and then put forward some innovative viewpoints on how to design the smart-strategy. Through investigating the dynamic characteristics of the process that the smart-strategy invades ESS, we find when meeting certain parameters requirement, the smart-strategy can not only invade traditional ESS but also generate plenty of dynamic behaviors. That is proved by computer simulation experiments.