I am trying to develop a model involving two agents who interact strategically to set an optimal time for a joint work. These agents will have to meet repeatedly. I want to derive the optimal time for joint work to characterize its properties. I suppose that they bargain to determine the optimal time, hence the optimal time of work is determined as Nash bargaining solution.
Will Nash bargaining solution apply in this context (repeated game)? Will there be a better way I can do this?