Contribution
Gale's contributions to mathematical economics include an early proof of the existence of competitive equilibrium, his solution of the n-dimensional Ramsey problem, in the theory of optimal economic growth.
Gale and Stewart initiated the study of infinite games with perfect information. This work led to fundamental contributions to mathematical logic.
Gale is the inventor of the game of Bridg-It (also known as "Game of Gale") and Chomp.
Gale played a fundamental role in the development of the theory of linear programming and linear inequalities. His classic 1960 book The Theory of Linear Economic Models continues to be a standard reference for this area.
The Gale Transform is an involution on sets of points in projective space. The concept is important in optimization, coding theory, and algebraic geometry.
Gale's paper with Lloyd Shapley on the stable marriage problem provides the first formal statement and proof of a problem that has far-reaching implications in many matching markets and is currently being applied in New York and Boston public school systems in assigning students to schools. In 2012 The Nobel Prize in Economics was awarded to Shapley for this work.
Gale wrote a Mathematical Entertainments column for the Mathematical Intelligencer from 1991 through 1997. The book Tracking the Automatic Ant collects these columns.
In 2004 Gale developed MathSite, a pedagogic website that uses interactive exhibits to illustrate important mathematical ideas. MathSite won the 2007 Pirelli Internetional Award for Science Communication in Mathematics.
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Famous quotes containing the word contribution:
“If melodrama is the quintessence of drama, farce is the quintessence of theatre. Melodrama is written. A moving image of the world is provided by a writer. Farce is acted. The writer’s contribution seems not only absorbed but translated.... One cannot imagine melodrama being improvised. The improvised drama was pre-eminently farce.”
—Eric Bentley (b. 1916)
“All in all, the creative act is not performed by the artist alone; the spectator brings the work in contact with the external world by deciphering and interpreting its inner qualifications and thus adds his contribution to the creative act. This becomes even more obvious when posterity gives its final verdict and sometimes rehabilitates forgotten artists.”
—Marcel Duchamp (1887–1968)
“The corruption of the age is produced by the individual contribution of each one of us; some contribute treachery, others injustice, irreligion, tyranny, avarice, cruelty, in accordance with their greater power; the weaker ones bring stupidity, vanity, passivity, and I am one of them.”
—Michel de Montaigne (1533–1592)