Re: Linear algebra applications in economics




"Santiago Canez" <canez@xxxxxxxxxxx> wrote in message
news:dclqlr$184v$1@xxxxxxxxxxxxxxxxxxxxx
> Hello,
>
> I'm teaching a linear algebra/differential equations course this summer
> and would appreciate suggestions on applications of these topics I could
> mention. I've given applications of both linear algebra and differential
> equations to physics, engineering, chemistry, biology, and computer
> science, but applications to economics have alluded me. Can anyone give
> some concrete applications I could give my students? Specifically, I would
> appreciate an application of eigenvalues/eigenvectors to economics and an
> application of systems of linear differential equations (I already have
> matrix applications to input/output models and applications of partial
> differential equations planned).
>

AIUI financial predictions are a can of worms and stock markets especially
are not at all successfully handled by linear methods. See the book "The
Predictors" by Thomas Bass for an insight into the problems and how banks of
competitive neural networks and genetic algorithms were used to predict
currencies after many man years of mathematical research. But at best it's
only marginally better than human intuition - and that's on a good day.

So while you might successfully predict a sanitized computer model of a
hypothetically efficient financial market as an interesting academic
exercise, the same process wouldn't work on the real thing.


rusty



.



Relevant Pages

  • Re: Comprehensive Solution Manual for Textbooks
    ... Introduction to Linear Algebra - Lee Johnson, Dean Riess, Jimmy Arnold ... Introduction to Management Accounting - Charles T. Horngren ... Introduction to Mathematical Statistics and Its Applications - Richard ... Introductory & Intermediate Algebra for College Students - Robert F. ...
    (sci.math)
  • Re: Linear algebra applications in economics
    ... I've given applications of both linear algebra and differential ... but applications to economics have alluded me. ... > of partial differential equations planned). ...
    (sci.math)
  • 3rd intl workshop on Matrix Analysis and Applications
    ... The 3rd International workshop on Matrix analysis and applications, ... endorsed by ILAS (International Linear Algebra Society), ... held in this July in Lin'An, Hangzhou, China. ...
    (sci.math.research)
  • Solution Manual
    ... Thermal Fluid Sciences: An Integrated Approach By Stephen R Turns ... Linear Algebra With Applications by Steven J leon ...
    (sci.math)
  • Linear algebra applications in economics
    ... I'm teaching a linear algebra/differential equations course this summer and would appreciate suggestions on applications of these topics I could mention. ... I've given applications of both linear algebra and differential equations to physics, engineering, chemistry, biology, and computer science, but applications to economics have alluded me. ...
    (sci.math)