The Kim C. Border Repository |
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Kim Border was a professor in Caltech's Humanities & Social Sciences division for 41 years (1979 through Nov 19, 2020). He was an amazingly generous teacher with a passion for mathematical economics. As a teacher, he wrote volumes of in-depth lecture notes for his courses and shared them freely on his website. On November 20, 2020 I downloaded as much of this content as I could so it could be shared with future generations of students and teachers.
From Kim's Website
- Kim's collection of notes. This is a pretty exhaustive compilation of all of his various lecture notes.
- Kim's Convex Analysis course, which contains a book's worth of lectures on convex analysis and an incredibly extensive bibliography.
- Kim's Intro to Probability & Statistics course, again with complete lecture notes.
- Kim's Theory of Value course, with notes and problem sets.
- Kim's course on Economic Progress, with notes and bibliography on economic growth.
- Kim's website, as it appeared on November 20, 2020.
Kim's Published Books
- Aliprantis & Border "Infinite Dimensional Analysis: A Hitchhiker's Guide," 3rd ed., 2007. Find it: Springer, Amazon.
- Border "Fixed Point Theorems with Applications to Economics and Game Theory," 1989. Find it: Cambridge University Press, Amazon.
- Aliprantis, Border, & Luxemburg (eds.) "Positive Operators, Riesz Spaces, and Economics: Proceedings," 1991. Find it: Springer, Amazon.
Notes and Documents Not From His Website
Disclaimer: We should treat these documents as largely unfinished and unedited. Please use with caution.- Kim's "Miscellaneous Notes on Optimization Theory and Related Topics," dated November 20, 2015 is essentially an unfinished textbook, complete with exercises. Alternate title: "A Dessert Course on Optimization," if dessert lasted 186 pages.2,3
- Kim's "Some Things You Should Know About Probability," dated October 2001 and scanned from a printout.1
- Kim's "Adverse Selection in Insurance Markets," Fall 2018.3
- Kim's "Preliminary Notes on Auction Design," Winter 2008.3
- Kim's "Brief Notes on Revenue Equivalence," Fall 2017.3
- Kim's "On Continued Fractions," dated May 2015 but apparently compiled in Jan 2017.3
- Kim's "Continuity of the Coordinate Map," dated October 2011 and compiled Jan 2016.3
- Kim's "Two Uses for Measurable Selections," dated 2012 and compiled Sept 2017.3
- Kim's "The Space N of Natural Sequences," this could be additional material for Ch.15 of The Hitchhiker's Guide.3
- Kim also contributed several Tex and BibTeX files, including an Econometrica BibTeX style.