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A bit about Andy McLennan:

After almost two decades in the Department of Economics of the University of Minnesota, and a brief appointment at the University of Sydney, I've been a professor at the School of Economics of the University of Queensland since 2007. My research specializations are mathematical economics and game theory. Among other things, I have been interested in computational issues arising out of the problem of getting a computer to find all Nash equilibria of a finite game, which has led me to learn about literature in algebraic geometry related to the solution of systems of polynomial equations.

Along with the late Richard McKelvey, I was able to apply the ideas there to characterize both the largest number of totally mixed Nash equilibria a "generic" normal form game might have, and the average number. For several years I worked with Richard McKelvey, Ted Turocy, and others, on Gambit: Software Tools for Game Theory, which is a free software package for dealing with finite games in normal and extensive form.

Random stumbling around has led me into a variety of other projects, and you can see by checking out recent papers. One exciting development is a very simple proof of Kakutani's fixed point theorem that Rabee Tourky and I came up with. I also like pure mathematics. For those who like "Book" proofs, let me recommend the note on the ErdosSos conjecture. (You won't learn any economics, but you should be able to read it even if you don't know much about graph theory.) I have recently written a paper that provides a geometric analogue of the VietorisBegle theorem, and applies it to show that certain subsets of Riesz spaces are contractible. A couple expository papers explain (at different levels) modern versions of the MorseSard theorem, with a fairly easy proof. There is also a book that translates Serre's famous paper Fascieux Algebrique Coherent and provides all required background from commutative algebra.

For me macroeconomic research has always been a spectator sport, but that may be changing.
My CV
Last updated on October 8, 2020.

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