BIOGRAPHY
David Gale
13
December
1921 Born
1943 B.A., Swarthmore College
1947 M.A., University of Michigan
obsd
1949 Ph.D., Princeton University
1943-45 Radiation Laboratory, Massachutts Institute of Technology 1949-50 Instructor, Princeton University
1950-57 Assistant Professor, Brown University
1957-58 Consultant, RAND Corporation, Santa Monica, California 1959-61 Associate Professor, Brown University
1961-65 Professor and Chairman of Department, Brown University
1965-66 Visiting Miller Professor, University of California, Berkeley 1966- Professor of Mathematics and of Operations Rearch,
University of California, Berkeley
1948 Proctor Fellowship, Princeton University
1953-54 Fulbright Rearch Scholarship, University of Copenhagen 1962-63 Guggenheim Fellowship, University of Osaka
1967- Professor of Economics, University of California, Berkeley
appointment)
(honorary儿童暑期夏令营
1968-69 NSF Senior Postdoctoral Fellowship
Professor
1971-72 Miller
1974-75 Vice Chairman for Personnel, Department of Mathematics 1975-76 Fellowship, Center for Advanced Study in Behavioral Sciences, Stanford
1978 Elected member of American Academy of Arts and Sciences 1979-80 Co-recipient of Von Neumann Prize for work in theory of
rearch
operation
1979-80 Recipient of a Lester R. Ford Prize for rearch paper
Fellowship
1981 Guggenheim
1983 Elected member of National Academy of Sciences
Bibliography
David Gale
Page 1
1.Compact ts of functions and function rings. Proceedings of the American Mathematical Society1
(1950), pp. 303-308.
sad是什么意思2.On symmetric games (with Kuhn and Tucker). Annals of Mathematical Studies24, Princeton
University Press (1950), pp. 37-49.
3.Reductions of game matrices (with Kuhn and Tucker). Annals of Mathematical Studies24,
Princeton University Press (1950), pp. 89-96.
4.Solutions of finite two-person games (with S. Sherman). Annals of Mathematical Studies 24,
Princeton University Press (1950), pp. 37-49.
5.Convex polyhedral cones and linear inequalities. Cowles Commission Monograph13, John Wiley
and Sons (1951), pp. 287-297.
6.Linear programming and the theory of games (with Kuhn and Tucker). Cowles Commission
Monograph13, John Wiley and Sons (1951), pp. 317-329.
7.An indeterminate problem in classical mechanics. American Mathematical Monthly LIX (1952),
pp. 291-295.
8.On inscribing N-dimensional ts in a regular N-simplex. Proceedings of the American
Mathematical Society4 (1953), pp. 222-225.
9. A theory of N-person games with perfect information. Proceedings of the National Academy of
Science39 (1953), pp. 496-501.
10.Infinite games with perfect information (with F.M. Stewart). Annals of Mathematics28 (1953), pp.
245-266.
11.Linear programming: an introduction to the problems and methods (with S. Dano). Nordisk
Tidskrift for Teknisk Okonomi (1954), pp. 5-31.
12.The law of supply and demand. Mathematica Scandinavica3 (1955), pp. 33-44.
13.The clod linear model of production. Annals of Mathematical Studies38 (1955), pp. 285-303.
Bibliography
David Gale
Page 2
14.Mathematics and economic models. American Scientist44 (1956), pp. 33-44.
15.Basic theorems of real linear equations, inequalities, linear programming, and game theory. Naval
Rearch Logistics quarterly3 (1956), pp. 193-200.
16.Neighboring vertices on a convex polyhedron. Annals of mathematical Studies38,Princeton
University Press (1956), pp. 255-263.
17.Information in games with finite resources. Annals of mathematical Studies39, Princeton
University Press (1957).
18. A theorem on flows in networks. Pacific Journal of Mathematics7 (1957), pp. 1073-1082.
文登考研19.Price equilibrium for linear models. Rand Paper P-1156 (1957).
20.Subalgebras of an algebra on one generator are finitely generated. Proceedings of the American
Mathematical Society8 (1957), pp. 929-930.
21.The theory of matrix games and linear economic models. Mimeographed Cour Notes,
Department of Mathematics, Brown University (1957).
开票系统
22. A note on polynomial and parable games (with O. Gross). Pacific Journal of Mathematics8
(1958), pp. 737-741.
23.Connsus of subjective probabilities. The Pari-Mutual Method (with E. Einberg). Annals of
Mathematical Statistics30 (1959).
24.Continuous convex ts (with V.L. Klee). Mathematica Scandinavica7 (1959), p. 379-391.arrange的用法
25.On transient flows in network. Michigan Mathematical Journal6 (1959), pp. 59-63.
26. A note on revealed preference. Economica (1960), pp. 348-354.
Bibliography
David Gale
北京外国语大学培训学院Page 3
27.The theory of linear economic models. BOOK, McGraw-Hill, New York, 1960.
28.Collee admissions and the stability of marriage (with L.S. Shapley). American Mathematical
Monthly69 (1962), pp. 9-15.
29. A note on global instability of competitive equilibrium. Naval Rearch Logistics Quarterly10
(1963), pp. 81-87.
30.On Lipschitzian mappings of convex bodies. Convexity, American Mathematical Society (1963),
pp. 221-224.
31.Neighborly and cyclic polytopes. Convexity, American Mathematical Society (1963), pp. 225-232.
32.On equilibrium for a multi-ctor model of income propagation. International Economic Review5
(1964), pp. 185-200.
33.On the number of vertices of a convex polytope. Canadian Journal of Mathematics16 (1964), pp.
12-17.
34.The Jacobian matrix and global univalence of mappings (with H. Nikaido). Mathematische
annalen2 (1965), pp. 81-93.
35.Optimal programs for quential investment. Brown University Press (1965).
36. A geometric duality theorem with economic applications. The Review of Economic Studies34
(1967), pp. 19-24.
37.On optimal development in a multi-ctor economy. The Review of Economic Studies 34 (1967),
pp. 1-18.
38. A mathematical theory of optimal economic development. Bulletin of the American Mathematical
Society74, no. 2(1968), pp. 207-223.
39.Optimal assignments in an ordered t, an application of matroid theory. Journal of Combinatorial
Mathematics5 (1968), pp. 176-180.
Bibliography
David Gale
Page 4
40.Analysis of a one good model of economic development (with W.R. Sutherland). Mathematics of
the Decision Sciences, Part 2, Lectures in Applied Mathematics, 12, pp. 120-136.
41.Convex functions on convex polytopes (with V. Klee and R.T. Rockafellar). Proceedings of the
American Mathematical Society, 19 (1968), pp. 867-873.
42.How to solve linear inequalities. American mathematical Monthly, June 1969, pp. 589-599.
43.Optimal growth under factor augmenting technological change (with W. Brock). Journal of
Economic Theory1 (1969), pp. 229-243.
44.Optimal growth under factor augmenting progress (with W. A. Brock). Journal of Economic theory
1 (1969), pp. 229-243.
45.The jeep once more or jeeper by the dozen. American Mathematical Monthly77 (1970), pp. 493-
501.
46.Nonlinear duality and qualitative properties of optimal growth. Integer and Nonlinear
Programming, edited by J. Abadie, North-Holland Publishing Company, Amsterdam (1970), pp.
309-319.
47.General equilibrium with imbalance of trade. Journal of International Economics1 (1971), pp.
141-158.
48.Optimal strategy for rving in tennis. Mathematics Magazine44 (1971), pp. 197-199.
49. A phenomenon in the theory of sorting (with R.M. Karp). Journal of Computer and Systems
Sciences6 (1972), pp. 103-115.枫桥夜泊古诗翻译
50.On equilibrium growth of dynamic economic models. Mathematical Topics in Economic Theory
and Computation, Society for Industrial and Applied Mathematics (1972), pp. 84-98.
51.Comment. Econometrica40 (1972), pp. 391-392.
Bibliography
David Gale
Page 5
52.Pure exchange equilibrium of dynamic economic models. Journal of Economic Theory6 (1973),
pp. 12-26.
53.On the theory of interest. American mathematical Monthly80 (1973), pp. 853-868.
54.Exchange equilibrium and coalitions. An example. Journal of Mathematical Economics1 (1974),
pp. 63-66.
55.The trade imbalance story. Journal of International Economics4 (1974), pp. 119-137.
56. A curious nim-type game. American mathematical Monthly81 (1974), pp. 876-879.
57.An equilibrium existence theorem for a general model without ordered preferences (with A. Mas-
Colell). Journal of Mathematical Economics2 (1975), p. 9-15.
58.Note and comment on the interest rate theorems of Malinvaud and Starrett (with R. Rockwell).
Econometrica43 (1975), pp. 347-360.
pax59.An extension of Cass’ characterization of infinite efficient production programs (with L.
Benveniste). Journal of Economic Theory10 (1975), pp. 229-238.
60.Unique reducibility of subts of commutative topological groups and mi-groups (with V.L.
Klee). Mathematica Scandinavica 36 (1975), pp. 174-198.
61.The linear exchange model. Journal of Mathematical Economics3 (1976), pp. 205-209.
multiple
62.The Malinvaud eigenvalue lemma: Correction and amplification (with R. Rockwell).
Econometrica44 (1976), pp. 1323-1324.
63.Piecewi linear exchange equilibrium. Journal of Mathematical Economics4 (1977), pp. 81-86.
