Based on the dynamic planning model and multi-player MZS game theory, this study constructs an adaptive optimization framework oriented to the stability of social community, and proposes a computable conflict reconciliation strategy by quantitatively analyzing the dynamic evolution law of social conflicts. First, the cooperativecompetitive relationship among social members is mapped as a state-constrained tracking control problem in the game system, the control barrier function (CBF) is used to define the safe set boundary, and the Nash equilibrium strategy is solved by the dynamic planning recursive equation to realize the mathematical modeling of the conflict evolution. In order to verify the effectiveness of the model, simulation experiments were carried out in combination with the enterprise competition scenario, and the iterative dynamic programming (IDP) algorithm was used to solve the multi-stage optimal control problem, and the results showed that the optimal control performance index J=1.3470, and the error between the control strategy and the analytical solution was controlled in the order of 10−3, indicating that the model can accurately approximate the optimal solution and ensure the evolution of enterprise behavior within the compliance boundary. Further analyzing the initial value sensitivity of the system under the chaotic state, it is found that the initial value difference of only 0.01 (x0=3.50 vs. x0=3.51) can trigger the trajectory dispersion, arguing for the risk of social disorder when the security set constraints fail. In addition, delay strategy experiments show that a single firm’s delay can raise its short-term profit by 4%, but the competitor’s profit decreases by 3%-5%, which needs to optimize resource allocation through dynamic planning to balance the interests of multiple parties. The study proves that by integrating game rule design, real-time risk warning and diversified mediation mechanisms, conflicts can be effectively reconciled and the dynamic stability of the social community can be maintained.
