Book Review
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MathSciNet review:
1567073
Full text of review:
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Book Information:
Authors:
V. L. Makarov and
A. M. Rubinov
Title:
Mathematical theory of economic dynamics and equilibria
Additional book information:
Springer-Verlag, New York, Heidelberg, Berlin, 1977, xv + 252 pp. $32.10.
Kenneth J. Arrow and Gerard Debreu, Existence of an equilibrium for a competitive economy, Econometrica 22 (1954), 265–290. MR 77069, DOI 10.2307/1907353
Gerard Debreu, Theory of value: an axiomatic analysis of economic equilibrium, Cowles Foundation for Research in Economics at Yale University, Monograph 17, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1959. MR 0110571
Robert Dorfman, Paul A. Samuelson, and Robert M. Solow, Linear programming and economic analysis, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1958. A Rand Corporation Research Study. MR 0128543
John G. Kemeny, Oskar Morgenstern, and Gerald L. Thompson, A generalization of the von Neumann model of an expanding economy, Econometrica 24 (1956), 115–135. MR 80573, DOI 10.2307/1905746
5. J. von Neumann, Über ein Ökonomisches Gleichungssystem und eine Verallgemeinerung des Brouwerschen Fixpunktsatzes, Ergebnisse eines Math. Kolloquims, No. 8, Vienna, 1937.
6. J. von Neumann, A model of general economic equilibrium review of economic studies, Review of Economic Studies 13 (1945), 1-9.
Hukukane Nikaid, Persistence of continual growth near the von Neumann ray: A strong version of the Radner turnpike theorem, Econometrica 32 (1964), 151–162. MR 173550, DOI 10.2307/1913740
Hukukane Nikaidô, On the classical multilateral exchange problem, Metroecon. 8 (1956), 135–145. MR 80571
9. F. Ramsey, A mathematical theory of saving, Economic Journal 38 (1928), 543-559.
10. J. Ville, Sur la théorie général des yeux, E. Borel Traite du Calcul des probabilités, vol. 4, part 2, Paris, 1938.
- 1.
- K. J. Arrow and J. Debreu, Existence of an equilibrium of the competitive economy, Econometrica 22 (1954), 265-290. MR 0077069
- 2.
- G. Debreu, Theory of value, Wiley, New York, 1959. MR 110571
- 3.
- R. Dorfman, P. Samuelson and R. Solow, Linear programming and economic analysis, McGraw-Hill, New York, 1958. MR 128543
- 4.
- J. Kemeny, O. Morgenstern and G. Thompson, A generalization of the von Neumann model of an expanding economy, Econometrica 24 (1956), 115-135. MR 80573
- 5.
- J. von Neumann, Über ein Ökonomisches Gleichungssystem und eine Verallgemeinerung des Brouwerschen Fixpunktsatzes, Ergebnisse eines Math. Kolloquims, No. 8, Vienna, 1937.
- 6.
- J. von Neumann, A model of general economic equilibrium review of economic studies, Review of Economic Studies 13 (1945), 1-9.
- 7.
- H. Nikaido, Persistence of continual growth near the von Neumann ray: a strong version of the Radner turnpike theorem, Econometrica 32 1-2 (1964), 151-163. MR 173550
- 8.
- H. Nikaido, On the classical multilateral exchange problem, Metroeconomica 8 (1956), 135-145. MR 80571
- 9.
- F. Ramsey, A mathematical theory of saving, Economic Journal 38 (1928), 543-559.
- 10.
- J. Ville, Sur la théorie général des yeux, E. Borel Traite du Calcul des probabilités, vol. 4, part 2, Paris, 1938.
Review Information:
Reviewer:
David Gale
Journal:
Bull. Amer. Math. Soc.
84 (1978), 665-671
DOI:
https://doi.org/10.1090/S0002-9904-1978-14519-4