Strategic formation of production networks
We provide a strategic model of the formation of production networks that
subsumes the standard general equilibrium approach. The objective of firms in our
setting is to choose their supply relationships so as to maximize their profit at the
general equilibrium that unfolds. We show that this objective is equivalent to the
maximization by the firms of their eigenvector centrality in the production network.
As is common in network formation games based on centrality, there are multiple
Nash equilibria in our setting. We have investigated the characteristics and the
social efficiency of these equilibria in a stylized version of our model representing
international trade networks. We show that the impact of network structure on
social welfare is firstly determined by a trade-off between costs of increasing process
complexity and positive spillovers on productivity induced by the diversification of
the input mix. We further analyze a variant of our model that accounts for the
risks of disruption of supply relationships. In this setting, we characterize how social
welfare depends on the structure of the production network, the spatial distribution
of risks, and the process of shock aggregation in supply chains. We finally show
that simple trade policies characterized by sets of links that are either prevented
or catalyzed can be a powerful equilibrium selection device.
JEL Classification: D85, C65, D83
Keywords: general equilibrium, network formation, supply chain, production networks