Multi-phase Repeated Game Model between Terrorists and Government Anti-terrorism with Long-term Characteristic

Terrorism represented by the "three forces" has become one of the long-term challenges for Chinese society, especially for Xinjiang region. Chinese anti-terrorism combat has the long-term characteristics. Considering the long-term characteristics of anti-terrorism, the paper builds a multi-phase repeated game model between government and terrorists, where Hausken and Zhuang's dynamic game model has been taken as the stage game model. Using numerical experiments, we discussed the influence of the attention for future long-term income, the terrorists' attacking cost, and the government's valuation of the targeted asset on terrorists' expected utility and the number of attacking time.