FIRST YEAR COURSES

September

Mathematics for Economists .

This course reviews key topics in mathematics that are frequently used in economics. Linear Algebra: vectors, matrices, quadratic forms. Mathematical Analysis: continuity, differentiability,Taylor expansions, implicit functions. Unconstrained optimization. Constrained optimization. Weierstrass theorem. Correspondences. Convexity.


Fall Term

Microeconomics I.

Classical microeconomic theory: Consumption theory, production theory, individual decision making with uncertainty, the Arrow-Debreu general equilibrium model, basic issues in welfare measurement.

Macroeconomics I.

This course is an introduction to dynamic macroeconomics. Discrete-time neoclassical growth model: value function, Bellman equation, Euler equation, recursive equilibrium, etc. Continuous-time neoclassical growth model: differential equations, phase diagrams, Hamiltonian, the Solow-Swan model, the Ramsey model, endogenous growth models.

Statistics.

This course introduces the basic tools of probability theory and statistical inference. Probability Theory: Probability Spaces, Random Variables, Random Vectors, Some special distributions. Statistical Inference: Sampling Theory, Specification and Estimation of Parametric Models, Stochastic Convergence, Asymptotic Theory for Estimators, Tests of Hypotheses, Testing Procedures.


Winter Term

Microeconomics II.

This course is an introduction to game theory. The basic framework of Game Theory. Main solution concepts. Basic refinements of Nash equilibrium. Incomplete information. Bayesian games, signaling games. Finite and infinite horizon, folk theorems in Nash and subgame- perfect equilibria.


Macroeconomics II.

This course complements Macroeconomics I and continues with an introduction to dynamic macroeconomics. Two-period Overlapping Generation (OLG) models: government debt and taxes, bequests, land and crop, money and inflation, etc. Multi-period OLG framework. Stochastic growth model with infinitely-lived agents: calibration and simulation, heterogeneity, money, endogenous growth and cycles and time-inconsistency.

Econometrics I.

The objective of this course is to provide an introduction to the application of statistical methods in econometrics. The course covers estimation and inference in linear models, including regression, instrumental variables and systems of equations. The last part of the course is devoted to introduce the students into the analysis of time Series models.


Spring Term

Microeconomics III.

This course covers market failure in the presence of externalities, market power and asymmetric information. Topics include: Externalities, public goods, voting and social choice, monopoly, oligopoly, bargaining, moral hazard, adverse selection, mechanism design and auctions.

Macroeconomics III.

Deals with the importance of monetary aggregates and monetary policy for the business cycle, and treats different approaches to generate persistent propagation of monetary and real shocks. Includes: empirical evidence on "Money and Output"; introduction of money in General Equilibrium models; liquidity and expected inflation effects; monetary non-neutralities; price and wage rigidities; inflation and output dynamics; monetary policy rules; microfoundation of money; search-theory; internal propagation of shocks; credit-cycles, bank-lending channel.

Econometrics II.

This course introduces the main topics in microeconometrics. Discrete Response Models: the linear probability model, probit and logit models, multinomial response models, ordered response models. Corner solution and sample selection corrections: the tobit model, censored and truncated regression models, sample selection corrections. Panel data models: random and fixed effects models, dynamic models.


SECOND YEAR COURSES (Elective)

Economic Theory

Game Theory.

Evolutionary and epistemic foundations of solution concepts; repeated games; bargaining; supermodular games; global games; heterogeneous priors; psychological games; game theory without expected utility.

Contract Theory.

Advanced models of moral hazard, adverse selection, mechanism design, career concerns, relational contracts, incomplete contracts, transaction costs, property rights. Applications to the theory of the firm, organizational design, financial structure, bureaucracy, and networks.

Auctions and Market Design.

Basic auction theory; common value; information revelation and information acquisition; multiple homogeneous unit auctions; applications to utility markets; multiple unit auctions with synergies; applications to telecom auctions; competing markets; matching markets.

Advanced Topics in Economic Theory.

Advanced subject on topics of current research interest.

Macroeconomics

Advanced Macroeconomics I.

This course introduces the basics of the Open Economy Macroeconomics. The Current Account: incomplete-market models. Purchasing Power Parity and the Law of One Price. Risk Sharing, Welfare and the International Business Cycle Transmission. Exchange rate determination and current account dynamics. Optimal stabilization policy in open economy. Open issues in open macro modelling. Financial and currency crises.

Advanced Macroeconomics II.

Introduction to the labor market from the Macroeconomic perspective. This module covers in depth the development of search models and their applications to the theory of business cycles and growth as well as the predictions of policy interventions in the labor market.

Macroeconometrics.

This course presents the economic motivation, the statistical principles and the practical use of different type of models to analyze the cyclical position of an economy. Topics included: Kalman Filter, Hodrick Prescott filter, Markov switching models, smooth transition regression models, nowcasting and real time forecasting, and Business cycle synchronization and characteristics.

Econometrics

Time Series.

This course covers the main topics in time series models. Multivariate time Series. Non-stationarity. Cointegration and error correction models. Cointegration in systems of equations. Generalized methods of moments estimation. Time series models of heteroscedasticity

Microeconometrics.

Econometric tools to model individual agents behavior with panel data models, treatment of unobserved heterogeneity. Identification and estimation of the selection-bias-free impact of policy interventions. Topics in Labor Economics: Labor supply, household behavior, human capital, migration, cultural economics and market discrimination.

Advanced Econometrics.

This course covers some advance topics in econometric theory. Monte Carlo Testing and Simulation. Bootstrap Techniques. Nonparametric Estimation: Procedures and Properties. Semiparametric Methods. Quantile Regression.


Behavioral, Experimental and Network Economics

Behavioral Economics and Finance.

Incorporates psychological evidence into economics models. Includes: risk aversion and prospect theory; bounded rationality; self control; manipulation of beliefs;  altruism; learning; contracts; limits to arbitrage; momentum; bubbles and crashes; theories of  investor sentiment.

Social Networks.

Topics cover: complex networks, random graphs, small worlds, preferential attachment, models of epidemic diffusion, network closure, structural holes, network formation theory, network games.

Experimental Economics.

Introduction to the theory and practice of experimental economics. How to design and run experiments. Focus on methodology and design. Includes theory and practice.

Industrial Organization

Industrial Organization I.

This course covers the main topics on the theory of industrial organization with special emphasis in two-stage games, delegation games, horizontal integration, vertical integration and product differentiation.

Industrial Organization II.

Issues of public policy in industrial organization: Antitrust policy; regulation; deregulation and privatization; political economy of regulation. Integrates theory and empirical research.

Advanced Topics in Industrial Organization.

Advanced subject in topics of current research interest in industrial organization.

Public Economics and Political Economy

Public Economics I.

Theory and evidence on tax policy: tax incidence, effects on labor supply and savings, optimal taxation, corrective taxation of externalities, corporate taxation, expenditure taxation.

Public Economics II.

Theory and evidence on expenditure policy: public goods, education, local public goods, political economy, redistribution and welfare, social security and unemployment insurance, health policy.

Political Economy.

Static and dynamic policy choice. Pre- and post-election politics. Presidential and parliamentary regimes. Multi-jurisdiction politics. Government failure. Accountability. Institutions: persistence, instability and change.