多冲突环境下的两人一阶超对策交互集结模型

Interactive integration model of two-person first-level hypergames in multi-conflict situations

针对不确定多冲突环境,建立了多个两人一阶超对策的交互集结模型。基于单一局中人在多个超对策中所认知的对策模型,结合该局中人所受到的资源约束及其对另一局中人资源约束的认知,建立该局中人在多冲突环境中所认知的多个对策的集结模型,在所有局中人所认知的对策集结模型基础上得到多个一阶超对策的交互集结模型;给出了超对策交互集结模型的稳定性分析过程。最后,通过一个军事例子说明了模型的实用有效性。

With respect to uncertain multi-conflict situations,an interactive integration model of two-person first-level hypergames is established.Based on the game models perceived by a single player in multiple hypergames,combing its resource restraints with the perception to those of opponent players,the aggregation model of multiple games perceived by the player under multi-conflict situations is built.According to all the aggregation models perceived by all the players,the interactive integration model of first-level hypergames is obtained.The stability analysis method for the interactive integration model is given.Finally,a military example is provided to illustrate the model.