William A. Brock

William Allen "Buz" Brock (born October 23, 1941) is a mathematical economist and a professor at the University of Wisconsin–Madison since 1975.[1] He is known for his application of a branch of mathematics known as chaos theory to economic theory and econometrics. In 1998, he was elected to the National Academy of Sciences[1] in the Economics Section.

William A. Brock
Born (1941-10-23) October 23, 1941
NationalityAmerican
InstitutionUniversity of Wisconsin–Madison
FieldMathematical economics
Alma materUniversity of California, Berkeley
University of Missouri
Doctoral
advisor		David Gale
Doctoral
students		Carlos Manuel Urzúa Macías
Takashi Kamihigashi
ContributionsBrock–Mirman model
Information at IDEAS / RePEc

In a 1972 paper, co-authored with Leonard Mirman, Brock provided the first stochastic version of the neoclassical growth model,[2] thereby paving the way for later developments such as real business cycle theory and DSGE models.

Selected publications

Papers
  • "Robust Control and Hot Spots in Dynamic Spatially Interconnected Systems".Brock/Xepapadeas August 15, 2010 paper
  • "The Emergence of Optimal Agglomeration in Dynamic Economics".Brock/Xepapadeas Oct. 16, 2009 paper
  • "A General Test for Nonlinear Granger Causality: Bivariate Model" Baek/Brock paper

Books
  • "Growth Theory, Nonlinear Dynamics and Economic Modelling: Scientific Essays of William Allen Brock". 2001
gollark: You mean Pascal's triangle?
gollark: Your idea of "run the thing backward" is quite obvious to anyone who looks at the problem. There have been many people looking at the problem. So if it worked someone would have proved collatz now.
gollark: <@!714406501346967572> 0.4 offense, but if you could easily prove the Collatz conjecture with relatively simple maths someone already would have,
gollark: I assume the 0/1/infinite solution thing is from something something linear algebra.
gollark: Ah. So the matrix maps the values of all the variables to the outputs of each equation, and the same output can be attained in multiple ways sometimes.

References
  1. https://www.ssc.wisc.edu/~wbrock/CvJan2006.pdf, William A Brock CV 2006, Retrieved 04 December 2010
  2. Brock, William A.; Mirman, Leonard J. (1972). "Optimal Economic Growth and Uncertainty: The Discounted Case". Journal of Economic Theory. 4 (3): 479–513. doi:10.1016/0022-0531(72)90135-4.


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