This paper introduces the probabilistic formulation of continuous-time economic models: forward stochastic differential equations (SDE) govern the dynamics of backward-looking variables, and backward SDEs capture that of forward-looking variables. Deep learning streamlines the search for the...

We examine the incentives and implications of supplier encroachment, when final good produc-tion requires the use of multiple complementary inputs and the entry of a supplier into the final good market gives rise to mutual outsourcing of inputs between the encroaching supplier and the incumbent....

The unprecedented access of firms to consumer level data not only facilitates more precisely targeted individual pricing but also alters firms' strategic incentives. We show that exclusive access to a list of consumers can provide incentives for a firm to endogenously assume the price leader's...

This paper analyzes how exporters are affected by corporate tax reforms in destination markets. We introduce tax policy in a trade model of multi-product firms and show that producers face tougher competition in export markets with lower corporate tax rates. This competitive effect induces firms...

A major result in the study of two-sided platforms is the strategic interdependence between the two sides of the same platform, leading to the implication that a platform can maximize its total profits by subsidizing one of its sides. We show that this result largely depends on assuming that at...

Our novel approach to modeling monopolistic competition with heterogeneous consumers involves a space of characteristics of a differentiated good (consumers' ideal points), alike Hotelling (1929). Firms have heterogeneous costs à la Melitz (2003). In addition to price setting, each firm also...

In a Cournot oligopoly set up with constant marginal cost and linear demand, innovation is rewarding. In this paper we work with a Cournot oligopoly framework with increasing marginal cost and linear demand and show that innovation may not be rewarding. We endogenize the success probability of...

High-performance firms typically have two features in common: i) they produce in more than one country and ii) they produce more than one product. In this paper, we analyze the internationalization strategies of multi-product firms at the product-level. We find that the most productive firms...

We analyze price dispersion using panel data from a large price comparison site. We use past pricing behavior to instrument for potential endogeneity that might result from the selection of firms to certain product markets. We find that greater price adjustment costs result in greater price...

Ever since Marshall (1890) agglomeration externalities have been viewed as the key factor explaining the existence of cities and their size. However, while the various micro foundations of agglomeration externalities stress the importance of Total Factor Productivity (TFP), the empirical...