The paper studied the game strategy decisions of alliance leader and members in collaborative information seeking. Based on basic Nash equilibrium model with complete information, it researched Bayesian-Nash equilibrium under incomplete information condition which further implied that the incompleteness of information had effected on the alliance leader’s compensation policy. Furthermore, it revealed a methodology to analyze the stability of Bayesian-Nash equilibrium and gave a detailed algorithm. It provided a framework to systematically explore the relationships between alliance leader and other members while solving work tasks in collaboration.