Abstract: In view of the uncertainty and dynamic characteristics of the development and evolution of the emergency event in engineering projects, as to make optimal emergency-decision, from the perspective of multi subject competition, based on the characteristics of different game competitors(the regulators and the decision maker) under the complex and dynamic environment in projectengineering emergency management, a continuous dynamic differential game model of two participates is established to describe the process.While making a decision, both competitors want to make an optimal-control on the system risk, as to seeking the maximum interests of their own at the same time. In the algorithm apart, the dynamic game theory and optimal control theory are combined, and the MATLAB software is used to solve the model.Furthermore,in order to study the influence of the various parameters in the management system, the sensitivity analysis of the model is carried out.By sensitivity analysis, the corresponding management recommendations targeted can be put forward, and it can do great help to explore and explain the evolution process of the competition and cooperation among the various entities in the complex network of risk management.In this paper, the dynamic decision-making mechanism of emergency is discussed from the theoretical level, which can be used as a reference to some related research and help to make a more profound understanding of the formation of emergency management system, while it can also provide the necessary support for the selection and implementation of emergency strategy in practice.In this way, the study can help managers to make efficient decisions and optimize the integration of resources.

Key words: emergency management, dynamic differential game, nash equilibrium, sensitivity analysis