Gross substitutes and complements: A simple generalization

•We generalize the gross substitutes and complements framework (Sun and Yang, 2006).•We show that competitive equilibrium with indivisible goods exists under weaker conditions.•We show how the competitive equilibrium allocation can be implemented.

We extend the gross substitutes and complements framework (Sun and Yang, 2006). Competitive equilibrium with indivisible goods exists under significantly weaker, intuitive and interpretable conditions. A generalized dynamic double-track procedure (Sun and Yang, 2008, 2009) finds the competitive equilibrium outcome.