具有两类局中人进化对策的进化稳定策略

The Evolutionary Stable Strategy of Evolutionary Games with Two Types of Players

用对策论研究生物行为的进化过程，是近年来对策论具有开创性的应用之一，而判断和求解进化对策的进化稳定策略（ＥｖｏｌｕｔｉｏｎａｒｙＳｔａｂｌｅＳｔｒａｔｅｇｙ，简记为ＥＳＳ）则是其中的关键［１，２］．研究具有两类局中人的进化对策模型，证明这种进化对策的ＥＳＳ存在的充要条件．根据这个条件可以判定这种进化对策是否具有ＥＳＳ，且当ＥＳＳ存在时，可求出ＥＳＳ．

It is one of the initiative applications for game theory into behavior ecology to study the evolutionary process of biological behavior with game theory.The key point of this kind of study is to decide and get the Evolutionary Stable Strategy, or ESS. The model of evolutionary game with two types of players was studied,a theorem on the necessary and sufficient condition for the ESS existence of this kind of evolutionary game was proved. The ESS of this kind of evolutionary game,if it exists, can be gained with the theorem.