This paper studies the dynamics of strategic interaction of a manufacturer-buyer supply chain under different inventory coordination strategies. This interaction is modeled as a game in which each actor decides whether or not to negotiate with the other. Depending on the actor that dominates the chain and the decisions made by each one, a series of optimization models are proposed which seek to maximize the profit of each agent. By using a scheme based on evolutionary game theory called the replicator dynamics, the methodology used allows us to characterize the degree of stability of each stationary state.