Abstract: Hospital-patient conflicts become one of social hot problems. In the latency, breakout and emergency disposal stages of social emergency, the social network structure of the parties group shows the complex characters, such as leapfrog petition, individual (i.e. node) heterogeneity, transfer payment and decreasing connecting cost. Considering the practical characters of social network in hospital-patient conflicts, the Revised Jackson-Wolinsky social network model is built in this papaper. Exhaustive search method is applied to analyze the stability and efficiency. The case of Nanping "medical trouble" event is analyzed. The results show that star network structure is stable and efficient, when the direct connecting cost and benefit are lower. Along with the connecting benefit rising, there are various forms of social networks contented with stability and efficiency simultaneously. This social network connecting model has revealed the conditions for the phenomenon of "management offside" in social emergency management, where the key factors are to trade-off between the connecting cost and benefit.

Key words: management offside, social network, hospital-patient conflicts, stability, efficiency