Posts Tagged: Massachusetts Institute of Technology


11
Sep 08

Notes to Self: Blanchard on the Future of Macroeconomics

Circulation in macroeconomics

Olivier Blanchard of MIT is one of the top macroeconomists in the world. When he write articles like this, it’s worth your time reading what he thinks.

Or, you could read what I think he thinks. Which may save time.

My summary. Macroeconomics is the study of fluctuations. Since the 1970′s there have been three approaches to macro. First, the new-classicals. These guys build models of the macroeconomy where the aggregate properties of the economy come from the decisions made at the household and firm level. All markets are in equilibrium, and the only thing which creates cycles is changes in technology. This approach is associated with Ed Prescott, Robert Lucas, and Thomas Sargent. Second, the new-Keynesians. These guys emphasised the role of market imperfections like asymmetric information in generating cycles. Top chaps in the NK school would be Greg Mankiw and Joseph Stiglitz. Third, the growth theorists. These guys mainly ignored the problem of fluctuations. People like Daron Acemoglu and Charles I. Jones come to mind. 

Blanchard argues that modern macroeconomics has had a sort of convergence from these three schools, where the theory of the new-classicals is augmented with imperfections. The problem with this approach is complexity. Now we need large dynamic stochastic general equilibrium models to make predictions about the economy in the short run, which makes understanding the message behind these models difficult. 

Blanchard sees a more `open source’ future for macroeconomics, where we hack together macro models based on the problem they are built to solve, and estimate them numerically, without worrying about the general equilibrium and social welfare properties of these models.

I’m a bit skeptical about the issue of pluralism in economics (see here), but I think Blanchard’s vision of a broader macroeconomic church, if it came about, would be nice to see if it ever happened. 


19
Aug 08

Using Mathematica to Explore the Mathematics of Modern Growth Theory

Mathematica

Here’s a paper I’m presenting at a Mathematica symposium at Trinity College, Dublin on September 15. The notes are 43 pages long, and cover aspects of modern growth theory, the mathematical tools behind some canonical models, and show how to implement these growth models in Mathematica.

The paper covers Solow, Romer, Mankiw-Romer-Weil, as well as Ramsey-Cass-Koopmans growth models. They also contain pedagogical notes on linear and dynamic programming, differential equations, and numerical analysis.

Right click the link below to download the paper. The Source file which produced the paper is quite large (18mb), so if you’d like a copy, please email me.

growththeorymacronotes_v3_reduced

Really, these notes represent a fairly good attempt at writing in the old Mathematica style. The new Mathematica style is built around usable pedagogical instruments called Demonstrations, which show the user the idea you’re trying to convey graphically and numerically, while the user never sees a line of Mathematica code. So far I’ve not learned how to build demonstrations, but I will over the next term for my two classes.

The next steps in enlarging the notes is to connect the growth models to real world data series like the Penn World Tables, and econometrics. From there one can use Mathematica for sensible policy exercises in growth and development economics.

I’m looking forward to the symposium, and hope to learn a lot from the other presenters.