How did Europe escape the "Iron Law of Wages?" We construct a simple Malthusian model with two sectors and multiple steady states, and use it to explain why European per capita incomes and urbanization rates increased during the period 1350-1700. Productivity growth can only explain a small...

We analyze the rise of the first socio-economic institution in history that limited fertility – long before the Demographic Transition. The "European Marriage Pattern" (EMP) raised the marriage age of women and ensured that many remained celibate, thereby reducing childbirths by up to one...

This paper studies the impact of a regional free trade agreement, MERCOSUR, on technology upgrading by Argentinean firms. To guide empirical work, I introduce technology choice in Melitz’s (2003) model of trade with heterogeneous firms. The joint treatment of the technology adoption and...

This paper integrates in a unified and tractable framework some of the key insights of the field of international trade and economic growth. It examines a sequence of theoretical models that share a common description of technology and preferences but differ on their assumptions about trade...

We study the equilibrium determinants of firm-level heterogeneity in a model in which firms can choose between different probability distributions when drawing productivity at the entry stage and explore the implications in closed and open economy. One novel result is that export opportunities,...

This paper evaluates the global welfare impact of observed levels of migration using a quantitative multi-sector model of the world economy calibrated to aggregate and firm-level data. Our framework features cross-country labor productivity differences, international trade, remittances, and a...

In a world with two countries which differ in size, we study the impact of (the speed of) trade liberalization on firms' profits and total welfare of the countries involved. Firms correctly anticipate the pace of trade liberalization and take it into account when deciding on their product...

Theorem 1 of Euler’s paper of 1737 'Variae Observationes Circa Series Infinitas', states the astonishing result that the series of all unit fractions whose denominators are perfect powers of integers minus unity has sum one. Euler attributes the Theorem to Goldbach. The proof is one of those...

In the homogeneous case of one type of goods or objects, we prove the existence of an additive utility function without assuming transitivity of indifference and independence. The representation reveals a positive factor smaller than 1 that infuences rational choice beyond the utility function...

Minkowski's ?(x) function can be seen as the confrontation of two number systems: regular continued fractions and the alternated dyadic system. This way of looking at it permits us to prove that its derivative, as it also happens for many other non-decreasing singular functions from [0,1] to...