语法修改：For Problem 1 since self-interest drives each cluster to intend to minimize its own cost function which allows the strategies of all clusters to eventually reach a stable equilibrium point ie the

For Problem 1, since self-interest drives each cluster to minimize its own cost function, this allows the strategies of all clusters to eventually reach a stable equilibrium point, known as the Nash equilibrium. In contrast to the deterministic version, the Nash equilibrium in the stochastic setting is defined as follows.