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Differential Paths to Parity: A Study of the Contemporary Arms Race

Published online by Cambridge University Press:  01 August 2014

Michael Don Ward
Michael Don Ward*
Affiliation:
University of Colorado
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Abstract

This article presents a model of arms expenditures and arms accumulation for the Soviet Union and United States from 1952 through 1978. It argues that contemporary superpowers do not react solely to the military budgets of one another in assessing the potential threat against which they must allocate military resources, i.e., in deciding upon the military budget. Rather, they respond primary to the relative balance of strategic and conventional military forces. A continuous time model of this process is developed and estimated. If one examines only the budgets of these two nations, it would appear that no race is occurring; rather, the Soviets are simply increasing their arms expenditures irrespective of what the United States does. However, when one examines the relative stocks of military capabilities, it appears that the USSR is racing to catch up to the United States. Finally, the dynamics governing arms competition between the United States and the USSR appear to be undergoing marked change.

Type
Research Article
Information
American Political Science Review , Volume 78 , Issue 2 , June 1984 , pp. 297 - 317
Copyright
Copyright © American Political Science Association 1984

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References

Abolfathi, F.Defense expenditures in the Persian Gulf. In Hollist, W. L. (Ed.), Exploring competitive arms processes: applications of mathematical modeling and computer simulation in arms policy analysis. New York: Marcel Dekker, 1978, pp. 99–131.Google Scholar
Allan, P., & Luterbacher, U. Analyzing detente: simulations and scenarios. Unpublished, 1981.Google Scholar
Anderson, T. W.An introduction to multivariate statistics. New York: Wiley, 1958.Google Scholar
Aoki, M.Dynamic analysis of open economies. New York: Academic, 1981.Google Scholar
Azar, E. E.The codebook of the Conflict and Peace Data Bank (COPDAB): A computer-assisted approach to monitoring and analyzing international and domestic events. Mimeographed, University of North Carolina, Chapel Hill, 1980. (a)Google Scholar
Azar, E. E.The Conflict and Peace Data Bank (COPDAB) project. Journal of Conflict Resolution, 1980, 24, 142–152. (b)CrossRefGoogle Scholar
Bailey, R. W., Hall, V. B., & Phillips, P. C. B.A model of output, employment, capital formation and inflation. Cowles Foundation Discussion Paper No. 552. New Haven, Conn.: Cowles Foundation for Research in Economics, 1980.Google Scholar
Bergstrom, A. R.Non-recursive models as discrete approximations to systems of stochastic differential equations. Econometrica, 1966, 34, 173–182.Google Scholar
Bergstrom, A. R.Statistical inference in continuous time economic models. Amsterdam: North-Holland, 1976.Google Scholar
Bergstrom, A. R.Gaussian estimation of structural parameters in higher order continuous time dynamic models. Econometrica, 1983, 51, 117–152.Google Scholar
Burt, R.Defense budgeting: the British and American cases. Adelphi Papers, No. 112. London: International Institute of Strategic Studies, 1975.Google Scholar
Carter, R. A. L., & Nagar, A. L.Coefficients of correlation for simultaneous equation systems. Journal of Econometrics, 1977, 6, 39–50.Google Scholar
Chatterji, M.A model of resolution of conflict between India and Pakistan. Peace Science Society (International) Papers, 1969, 12, 87–102.Google Scholar
Congressional Quarterly Inc. China: US Policy since 1945. Washington, D.C.: Congressional Quarterly, 1980.Google Scholar
Cusack, T. R., & Ward, M. D.Military spending in the United States, Soviet Union, and the People's Republic of China. Journal of Conflict Resolution, 1981, 25, 429–469.Google Scholar
Davidon, W. C.Variable metric method of minimization. AEC Research and Development Report ANL-5990 (Rev.), 1959.Google Scholar
Dennis, J. E. Jr., Gay, D. M., & Welsh, R. E.An adaptive nonlinear least squares algorithm. ACM Transactions on Mathematical Software, 1981, 7, 348–368. (a)CrossRefGoogle Scholar
Dennis, J. E. Jr., Gay, D. M., & Welsh, R. E.Algorithm 573-NL2SOL—An adaptive nonlinear least squares algorithm. ACM Transactions on Mathematical Software, 1981, 7, 369–383. (b)Google Scholar
Desai, M., & Blake, D.Modelling the ultimate absurdity: A comment on “A quantitative study of the strategic arms race in the missile age.” The Review of Economics and Statistics, 1981, 63, 629–633.Google Scholar
Dixon, W. J., Brown, M. B., Engleman, L., Frane, J. W., Hill, M. A., Jennrich, R. I., & Toporek, J. B.BMDP Statistical Software 1981. Berkeley: University of California Press, 1981.Google Scholar
Donaldson, J. R., & Tryon, P. V.Introduction to STARPAC. National Bureau of Standards Technical Note 1068-1. U.S. Dept. of Commerce and National Bureau of Standards. Washington, D.C.: Government Printing Office, 1983. (a)Google Scholar
Donaldson, J. R., & Tryon, P. V.Nonlinear least squares regression using STARPAC: The standards time series and regression package. National Bureau of Standards Technical Note 1068-2. U.S. Dept. of Commerce and National Bureau of Standards. Washington, D.C.: Government Printing Office, 1983. (b)Google Scholar
Fischer, G. W., & Crecine, J. P. Defense budgets, fiscal policy, domestic spending and arms races. Presented at the Annual Meeting of the American Political Science Association, Washington, D.C., 08, 1979.Google Scholar
Fletcher, R.Function minimization without evaluating derivatives—a review. Computing Journal, 1965, 8, 33–41.Google Scholar
Gandolfo, G.Economic dynamics: methods and models. Amsterdam: North-Holland, 1980.Google Scholar
Gandolfo, G.Qualitative analysis and econometric estimation of continuous time dynamic models. Amsterdam: North-Holland, 1981.Google Scholar
Gillespie, J. V., Zinnes, D. A., Schrodt, P. A., Tahim, G. S., & Rubinson, R. M.An optimal control model of arms races. American Political Science Review, 1977, 71, 226–244.Google Scholar
Green, D. W., & Higgins, C. I.SOVMOD I: A macro-economic model of the Soviet Union. New York: Academic Press, 1977.Google Scholar
Gregory, P.Economic growth, U.S. defense expenditures and the Soviet budget. Soviet Studies, 1974, 24, 72–80.Google Scholar
Hamblin, R. L., Hout, M., Miller, J. L. L. & Pitcher, B. L.Arms races: A test of two models. American Sociological Review, 1977, 42, 338–354.Google Scholar
Hollist, W. L.An analysis of arms processes in the United States and the Soviet Union. International Studies Quarterly, 1977, 21, 503–528. (a)CrossRefGoogle Scholar
Hollist, W. L.Alternative explanations of competitive arms processes: Tests on four pairs of nations. American Journal of Political Science, 1977, 21, 313–340. (b)Google Scholar
Hollist, W. L., & Guetzkow, H.Cumulative research in international relations: Empirical analysis and computer simulation of competitive arms processes. In Hollist, W. L. (Ed.), Exploring competitive arms processes: Applications of mathematical modeling and computer simulation in arms policy analysis. New York: Marcel Dekker, 1978, pp. 165–195.Google Scholar
Holzman, F. D.Are the Soviets really outspending the U.S. on defense? International Security, 1980, 4, 86–104.Google Scholar
Holzman, F. D.Soviet military spending: Assessing the numbers game. International Security, 1982, 6, 78–101.Google Scholar
Hopple, G. W., Rossa, P. J., & Wilkenfeld, J.Threat and foreign policy analysis: Assessing the overt behavior of states in conflict. In McGowan, P. J. & Kegley, C. W. Jr. (Eds.), Sage international yearbook of foreign policy studies. Beverly Hills, Calif.: Sage, 1980, pp. 19–53.Google Scholar
Hutchings, R.Fluctuation and interaction in estimates of Soviet budget expenditure. Osteuropa Wirtschaft, 1973, 18, 53–79.Google Scholar
International Institute of Strategic Studies. The military balance, 1971-72; 1972-73; 1973-74; 1974-75; 1975-76; 1976-77; 1977-78; 1978-79; and 1979-80. London: IISS, 1971–1979.Google Scholar
James, F., & Roos, M.Minuit. CERNLIB Documentation: Report D506, 1975.Google Scholar
Joint Economic Committee, Congress of the United States.Soviet economy in a new perspective. Washington, D.C.: Government Printing Office, 1976.Google Scholar
Kohfeld, C. W., & Salert, B.Discrete and continuous representation of dynamic models. Political Methodology, 1982, 8, 1–32.Google Scholar
Korn, G. A., & Wait, J. V.Digital continuous system simulation. Englewood Cliffs, N.J.: Prentice-Hall, 1977.Google Scholar
Koyck, L. M.Distributed lags and investment analysis. Amsterdam: North-Holland, 1954.Google Scholar
Kugler, J., Organski, A. F. K., with Fox, D. J.Deterrence and the arms race: The impotence of power. International Security, 1980, 1, 105–138.Google Scholar
Lambelet, J. C.Toward a dynamic two theater model of the East-West arms race. Journal of Peace Science, 1973, 1, 1–37.Google Scholar
Lambelet, J. C., & Luterbacher, U. with Allan, P.Dynamics of arms races: mutual stimulation vs. self-stimulation. Journal of Peace Science, 1979, 4, 4–66.Google Scholar
Lee, W. T.The estimation of Soviet defense expenditures: 1955-1975, an unconventional approach. New York: Praeger, 1977.Google Scholar
Luterbacher, U.Dimensions historiques de modeles dynamiques de conflit: Application aux courses armements 1900-1965. Geneva and Leyden: IUHEI and Sijthoff, 1974.Google Scholar
Luterbacher, U.Arms race models: Where do we stand? European Journal of Political Research, 1975, 3, 199–217.CrossRefGoogle Scholar
Luterbacher, U., Allan, P., & Imhoff, A.SIMPEST: A simulation model of political, economic and strategic interactions among major powers. Presented at the Xlth World Congress of the International Political Science, Moscow, 08 12-18, 1979.Google Scholar
Majeski, S., & Jones, D.Arms race modeling: Causality analysis and model specification. Journal of Conflict Resolution, 1980, 24, 153–185.Google Scholar
May, J.Period analysis and continuous analysis in Patinkin's macroeconomic model. Journal of Economic Theory, 1970, 2, 1–9.Google Scholar
McGuire, M. C.A quantitative study of the strategic arms race in the missile age. Review of Economics and Statistics, 1977, 59, 328–349.Google Scholar
Milstein, J.Soviet and American influences on the Arab-Israeli arms race: A quantitative analysis. Peace Science Society International Papers, 1972, 19, 6–27.Google Scholar
Moll, K., & Luebbert, G.Arms races and military expenditure models. Journal of Conflict Resolution, 1980, 24, 153–186.CrossRefGoogle Scholar
Nincic, M.The arms race: The political economy of military growth. New York: Praeger, 1982.Google Scholar
Nincic, M., & Cusack, T. R.The political economy of U.S. military spending. Journal of Peace Research, 1919, 16, 101–115.CrossRefGoogle Scholar
Organski, A. F. K., & Kugler, J.War ledger. Chicago: University of Chicago Press, 1980.Google Scholar
Ostrom, C.Evaluating alternative foreign policy models: An empirical test between an arms race model and an organizational politics model. Journal of Conflict Resolution, 1911, 23, 239–265.Google Scholar
Ostrom, C.A reactive linkage model of the U.S. defense expenditure policy making process. American Political Science Review, 1978, 22, 941–957.Google Scholar
Phillips, P. C. B.The problem of identification in finite parameter continuous time models. Journal of Econometrics, 1973, 1, 351–362.Google Scholar
Phillips, P. C. B.The estimation of some continuous time models. Econometrica, 1975, 42, 803–823.Google Scholar
Powell, M. J. D.An efficient method for finding the minimum of a function of several variables without calculating derivatives. Computer Journal, 1964, 7, 155–162.Google Scholar
Powell, M. J. D.Algorithms for constrained and unconstrained optimization calculations. Presented at the International Symposium on the Development in Econometrics and Related Fields. Econometric Institute, Erasmus University, Rotterdam, 1981.Google Scholar
Ralston, M. L.Jennrich, R. I., Sampson, P. F., & Uno, F. K.Fitting models defined by differential equations. In Gentlemen, J. (Ed.), Proceedings of the Computer Science and Statistics 12th Annual Symposium on the Interface. 05 10-11, 1979, University of Waterloo, Waterloo, Ontario.Google Scholar
Rattinger, H.Econometrics and arms races: A critical review and some extensions. European Journal of Political Research, 1976, 4, 421–439.Google Scholar
Richardson, L. F.Arms and security. Pittsburgh: Homewood, 1919/1960.Google Scholar
Richelson, J.Evaluating the strategic balance. American Journal of Political Science, 1980, 24, 779–801.CrossRefGoogle Scholar
Richelson, J.Static indicators and the ranking of strategic forces. Journal of Conflict Resolution, 1982, 26, 265–282.CrossRefGoogle Scholar
Saris, W., & Middendorp, C.Arms races: External security or domestic pressure? British Journal of Political Science, 1980, 10, 121–178.Google Scholar
Schrodt, P. A., Gillespie, J. V., & Zinnes, D. A.Parameter estimation by numerical minimization methods. International Interactions, 1978, 4, 279–301.Google Scholar
Science. They have more EMT than we. 02 2, 1981, 216, 32.Google Scholar
Shisko, R.Defense burden interactions revisited. Rand Paper P-5882. Santa Monica, Calif.: Rand Corporation, 1977.Google Scholar
Soviet Ministry of Defense. From whence the threat to peace, 1982.Google Scholar
Squires, M. L.Modeling the U.S.-U.S.S.R. strategic arms race. Presented to the Annual Meetings of the International Studies Association, Cincinnati, Ohio, 03 25, 1982.Google Scholar
Strauss, R.An adaptive expectations model of the East West arms race. Peace Research Society (International) Papers, 1972, 19, 29–34.Google Scholar
Strauss, R.Interdependent national budgets: A model of U.S.-USSR defense expenditures. In Hollist, W. L. (Ed.), Exploring competitive arms processes: Applications of mathematical modeling and computer simulation in arms policy analysis. New York: Marcel Dekker, 1978, pp. 89–98.Google Scholar
Taagepera, R., Shiffler, G. M., Perkins, R. T., & Wagner, D. L.Soviet-American and Israeli-Arab arms races and the Richardson model. General Systems Yearbook, 1975, 20, 151–158.Google Scholar
Taagepera, R.Stockpile-budget and ratio interaction models for arms races. Peace Science Society (International) Papers, 1979/1980, 29, 67–78.Google Scholar
Tsipis, K.Physics and calculus of countercity and counterforce nuclear attacks. Science, 1975, 187, 393–397.Google Scholar
Turnovsky, S. J.Macroeconomic analysis and stabilization policies. Cambridge: Cambridge University Press, 1977.Google Scholar
U.S. Council of Economic Advisors. Economic report of the President, 1979. Washington, D.C.: Government Printing Office, 1979.Google Scholar
U.S. Department of Commerce, Bureau of Census. Statistical abstract of the United States 1979:100th edition. Washington, D.C.: Government Printing Office, 1979.Google Scholar
U.S. Department of Defense. Soviet military power. Washington, D.C.: U.S. Dept. of Defense, 1981.Google Scholar
U.S. Department of Defense. U.S. defense budget for fiscal year 1979. Washington, D.C.: Government Printing Office, 1979.Google Scholar
Wagner, D. L., Perkins, R. T., & Taagepera, R.Complete solution of Richardson's arms race equations. Journal of Peace Science, 1975, 1, 159–172.Google Scholar
Wait, J. V., & Clarke, D. III. DAREP User's Manual. Unpublished Mimeograph, Department of Electrical Engineering, University of Arizona College of Engineering, 1979.Google Scholar
Wallace, M. D.Arms races and escalation. Journal of Conflict Resolution, 1979, 23, 3–16.Google Scholar
Wallace, M. D.Some persisting findings: A reply to Professor Weede. Journal of Conflict Resolution, 1980, 24, 289–292. (a)CrossRefGoogle Scholar
Wallace, M. D.Accounting for superpower arms spending. In McGowan, P. & Kegley, C. (Eds.). Sage international yearbook of foreign policy studies, Vol. 5. Beverly Hills, Calif.: Sage, 1980, pp. 259–274. (b)Google Scholar
Ward, M. D.Dynamics of cooperation and conflict in foreign policy behavior: Reaction and memory. International Studies Quarterly, 1982, 26, 87–126.Google Scholar
Wymer, C. R.Econometric estimation of stochastic differential equation systems. Econometrica, 1972, 40, 565–577.Google Scholar
Wymer, C. R.Estimation of continuous time models with an application to the world sugar market. In Labys, W. C. (Ed.), Quantitative models of commodity markets. New York: Praeger, 1975, pp. 173–191.Google Scholar
Zinnes, D. A., & Gillespie, J. V.Analysis of arms race models. Modeling and simulation, 1913, 4, 149–154.Google Scholar
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