MEDIA HIGHLIGHTS
Warren Page, Section Editor Tanya Leise Philip Straffin
New Rochelle, NY Amherst College Longmont, CO
wxpny@aol.com Amherst, MA
Media Highlights are short, approximately half-page, reviews intended to help CMJ readers monitor
a broad spectrum of publications, web materials, professional activities, and instructional resources.
Readers are encouraged to submit items that will be of interest to colleagues in the mathematical
community. Media Highlights should be sent to Warren Page at wxpny@aol.com.
Kenneth Arrow, Nobel-Winning Economist Whose Influence Spanned Decades,
Dies at 95, M. Weinstein. The New York Times (February 21, 2017) A21, https://
www.nytimes.com/2017/02/21/business/economy/kenneth-arrow-dead-no
bel-laureate-in-economics.html.
Kenneth Arrow (August 23, 1921–February 21, 2017) was one of the most influential
economists of the 20th century, helping to transform economic theory into a mathemat-
ical science. He was the youngest recipient of the Nobel Prize in Economics, which he
won in 1972 with Sir John Hicks, for pioneering work in general equilibrium theory
and social welfare theory. General equilibrium theory studies the balance of supply
and demand in a competitive market. Arrow, along with G
´
erard Debreu and Lionel W.
McKenzie, generated the first rigorous mathematical proofs of an equilibrium price at
which the supply of an item is equal to its demand. In particular, the Arrow–Debreu
model introduced the important mathematical tools of convexity and fixed point theory
to economic analysis in order to demonstrate the existence of a set of prices such that
aggregate supplies will equal aggregate demands for every commodity in the econ-
omy (assuming perfect competition and a few other strong conditions). Arrow also
made fundamental contributions to social welfare theory (collective choice), starting
with the publication of his book Social Choice and Individual Values in 1951. In this
book, Arrow states his famous impossibility theorem: No reasonably consistent and
fair system of aggregating individuals' preferences into an overall ranked ordering
exists; either the overall ranking is determined by a dictator or the societal preferences
are intransitive (e.g., A is preferred to B is preferred to C is preferred to A) with no
ranking possible. Arrow's work has been widely influential from the mid-20th century
up to the present, including his study of health care economics, which he discussed
during an interview in 2016, https://promarket.org/there-is-regulatory-
capture-but-it-is-by-no-means-complete/. TL
The Battle Against Malaria: A Teachable Moment, R. K. Schwartz. Journal
of Humanistic Mathematics 7:1 (January 2017) 204–228, http://dx.doi.org/
10.5642/jhummath.201701.16.
Worldwide there are over 200 million new cases of malaria each year. Sadly, although
the disease is both preventable and curable, poorer countries suffer the most. For
example, the United States has around 1,500 instances per year, most of these due
to travelers returning from infected regions. On the other hand, 90% of all cases occur
in Africa, where it causes 20% of all childhood deaths. This article points out that
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