Profile Major Works Resources

David Gale, 1921-2008.

American mathematician, mathematical economist and game theorist.

Born in New York City, David Gale studied mathematics at Swarthmore, Michigan and obtained his Ph.D. from Princeton in 1949.  His doctoral thesis was conducted under Albert W   Tucker  on the then-nascent field of game theory.  He contributed several papers to Kuhn and Tucker's Contributions to the Theory of Games (1950, 1953).  He also provided an early existence theory in general equilibrium theory (1955). Gale's 1960 textbook was an early classic of mathematical economics, popularizing linear programming methods.  His 1962 article with Lloyd Shapley introduced a famous stable matching algorithm, then went on to have multiple practical applications.

Gale was a professor at Brown University from 1950 until 1965, thereafter moving to UC Berkeley, where he remained for the remainder of his career.

 

  

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Major works of David Gale

  • "Solutions of finite two-person games", with S. Sherman, 1950, in Kuhn and Tucker, editors,, Contributions to the Theory of Games
  • "On Symmetric Games", with H.W. Kuhn and A,W. Tucker, 1950, in  Kuhn and  Tucker, editors, Contributions to the Theory of Games
  • "Reductions of game matrices", with H.W. Kuhn and A,W. Tucker, 1950, in  Kuhn and  Tucker, editors, Contributions to the Theory of Games
  • "Linear Programming and the Theory of Games", with H.W. Kuhn and A.W. Tucker, 1951, in Koopmans, editor, Activity Analysis of Allocation and Production.
  • "Infinite games with perfect information", with F.M. Stewart, 1953, in Kuhn and  Tucker, editors, Contributions to the Theory of Games v. 2
  • "A Theory of n-person games with perfect information", 1953, Proc NAS [pnas]
  • "The Law of Supply and Demand", 1955, Mathematica.
  • "A Closed Linear Model of Production", 1956, in Kuhn and Tucker, editors, Linear Inequalities and Related Systems.
  • Theory of Linear Economic Models, 1960.
  • "A Note on Revealed Preference", 1960, Economica.
  • "College Admissions and the Stability of Marriage", with L.S. Shapley, 1962, American Mathematical Monthly [pdf]
  • "A Note on Global Instability of Competitive Equilibrium", 1963, Naval Research Log Quarterly.
  •  "On Optimal Development in a Multi-Sector Economy", 1967, RES
  • "A Curious Nim-Type Game", 1974, American Mathematical Monthly
  • "An Equilibrium Existence Theorem for a General Model without Ordered Preferences", with A.Mas-Colell, 1975, JMathE.
  • "The Game of Hex and the Brouwer Fixed-Point Theorem", 1979, American Mathematical Monthly
HET

 
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