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| doctoral_advisor = Marcel Kessel Richter<ref name="math-genealogy" />
| doctoral_advisor = Marcel Kessel Richter<ref name="math-genealogy" />
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| known_for =
| known_for = [[Border's theorem]]
| awards =
| awards =
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Border received a bachelor's degree in economics from [[California Institute of Technology|Caltech]] in 1974. Shortly after completing his Ph.D. in economics at the [[University of Minnesota]] in 1979, he returned to Caltech as a faculty member, where he remained for over forty years.<ref name="caltech-obit" />
Border received a bachelor's degree in economics from [[California Institute of Technology|Caltech]] in 1974. Shortly after completing his Ph.D. in economics at the [[University of Minnesota]] in 1979, he returned to Caltech as a faculty member, where he remained for over forty years.<ref name="caltech-obit" />


Border specialized in [[decision theory]] and [[Auction theory|auction design]]. In 1991, he proved a set of inequalities (now known as "Border's theorem") that characterize the possible allocations for a single-item auction,<ref>{{cite journal |last1=Border |first1=Kim C. |title=Implementation of Reduced Form Auctions: A Geometric Approach |journal=Econometrica |date=1991 |volume=59 |issue=4 |pages=1175–1187 |doi=10.2307/2938181 |jstor=2938181 |url=https://www.jstor.org/stable/2938181 |access-date=3 April 2021 |issn=0012-9682}}</ref> a result that now plays a key role in [[Mechanism design|the computational design of auctions]].<ref>{{cite web |last1=Nisan |first1=Noam |title=On the Borders of Border's Theorem {{!}} Simons Institute for the Theory of Computing |url=https://simons.berkeley.edu/talks/noam-nisan-10-15 |website=simons.berkeley.edu |access-date=3 April 2021}}</ref> He also contributed several applications of [[Arrow's impossibility theorem]] to economic domains.<ref>{{cite journal |last1=Le Breton |first1=Michel |last2=Weymark |first2=John A. |title=Chapter Seventeen - Arrovian Social Choice Theory on Economic Domains |journal=Handbook of Social Choice and Welfare |date=1 January 2011 |volume=2 |pages=191–299 |url=https://www.sciencedirect.com/science/article/pii/S0169721810000171 |publisher=Elsevier |doi=10.1016/S0169-7218(10)00017-1 |hdl=1803/15728 |language=en|hdl-access=free }}</ref>
Border specialized in [[decision theory]] and [[Auction theory|auction design]]. In 1991, he proved a set of inequalities (now known as [[Border's theorem]]) that characterize the possible allocations for a single-item auction,<ref>{{cite journal |last1=Border |first1=Kim C. |title=Implementation of Reduced Form Auctions: A Geometric Approach |journal=Econometrica |date=1991 |volume=59 |issue=4 |pages=1175–1187 |doi=10.2307/2938181 |jstor=2938181 |url=https://www.jstor.org/stable/2938181 |access-date=3 April 2021 |issn=0012-9682}}</ref> a result that now plays a key role in [[Mechanism design|the computational design of auctions]].<ref>{{cite web |last1=Nisan |first1=Noam |title=On the Borders of Border's Theorem {{!}} Simons Institute for the Theory of Computing |url=https://simons.berkeley.edu/talks/noam-nisan-10-15 |website=simons.berkeley.edu |access-date=3 April 2021}}</ref> He also contributed several applications of [[Arrow's impossibility theorem]] to economic domains.<ref>{{cite journal |last1=Le Breton |first1=Michel |last2=Weymark |first2=John A. |title=Chapter Seventeen - Arrovian Social Choice Theory on Economic Domains |journal=Handbook of Social Choice and Welfare |date=1 January 2011 |volume=2 |pages=191–299 |url=https://www.sciencedirect.com/science/article/pii/S0169721810000171 |publisher=Elsevier |doi=10.1016/S0169-7218(10)00017-1 |hdl=1803/15728 |language=en|hdl-access=free }}</ref>


Border was also known for his teaching in subjects of mathematical economics, and for his extensive in-depth lecture notes.<ref>{{Cite web|title=The Kim C. Border Repository|url=https://healy.econ.ohio-state.edu/kcb/|access-date=2021-07-13|website=healy.econ.ohio-state.edu}}</ref>
Border was also known for his teaching in subjects of mathematical economics, and for his extensive in-depth lecture notes.<ref>{{Cite web|title=The Kim C. Border Repository|url=https://healy.econ.ohio-state.edu/kcb/|access-date=2021-07-13|website=healy.econ.ohio-state.edu}}</ref>

Latest revision as of 01:00, 30 September 2024

Kim C. Border
Born(1952-06-27)June 27, 1952
DiedNovember 19, 2020(2020-11-19) (aged 68)[2]
NationalityAmerican
Alma mater
[1]
Known forBorder's theorem
Children1
Scientific career
FieldsEconomics
Doctoral advisorMarcel Kessel Richter[1]

Kim C. Border was an American behavioral economist and professor of economics at the California Institute of Technology.

Career

[edit]

Border received a bachelor's degree in economics from Caltech in 1974. Shortly after completing his Ph.D. in economics at the University of Minnesota in 1979, he returned to Caltech as a faculty member, where he remained for over forty years.[2]

Border specialized in decision theory and auction design. In 1991, he proved a set of inequalities (now known as Border's theorem) that characterize the possible allocations for a single-item auction,[3] a result that now plays a key role in the computational design of auctions.[4] He also contributed several applications of Arrow's impossibility theorem to economic domains.[5]

Border was also known for his teaching in subjects of mathematical economics, and for his extensive in-depth lecture notes.[6]

Personal life

[edit]

Border died on November 19, 2020, and is survived by his son.[2]

Selected publications

[edit]
  • Border, Kim (1985). Fixed Point Theorems with Applications to Economics and Game Theory. Cambridge: Cambridge University Press. doi:10.1017/CBO9780511625756. ISBN 9780511625756.
  • Aliprantis, Charalambos; Border, Kim (2006). Infinite Dimensional Analysis: A Hitchhiker's Guide. Springer-Verlag. doi:10.1007/3-540-29587-9. ISBN 9783662039625.
  • Border, Kim C.; Sobel, Joel (1987). "Samurai Accountant: A Theory of Auditing and Plunder". The Review of Economic Studies. 54 (4): 525–540. doi:10.2307/2297481. JSTOR 2297481.
  • Border, Kim C. (1991). "Implementation of Reduced Form Auctions: A Geometric Approach". Econometrica. 59 (4): 1178–1187. doi:10.2307/2938181. JSTOR 2938181.

References

[edit]
  1. ^ a b "Kim Christian Border". The Mathematics Genealogy Project. Retrieved 3 April 2021.
  2. ^ a b c Clavin, Whitney. "Caltech Mourns the Passing of Professor Kim Border (1952-2020)". Caltech. Retrieved 3 April 2021.
  3. ^ Border, Kim C. (1991). "Implementation of Reduced Form Auctions: A Geometric Approach". Econometrica. 59 (4): 1175–1187. doi:10.2307/2938181. ISSN 0012-9682. JSTOR 2938181. Retrieved 3 April 2021.
  4. ^ Nisan, Noam. "On the Borders of Border's Theorem | Simons Institute for the Theory of Computing". simons.berkeley.edu. Retrieved 3 April 2021.
  5. ^ Le Breton, Michel; Weymark, John A. (1 January 2011). "Chapter Seventeen - Arrovian Social Choice Theory on Economic Domains". Handbook of Social Choice and Welfare. 2. Elsevier: 191–299. doi:10.1016/S0169-7218(10)00017-1. hdl:1803/15728.
  6. ^ "The Kim C. Border Repository". healy.econ.ohio-state.edu. Retrieved 2021-07-13.
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