Abstract
Lewis Richardson’s (1960a, first published 1939) venture to develop a mathematical theory of arms races was initially brought to the attention of a wider audience when Anatol Rapoport (1957) published his review article “Lewis F. Richardson’s Mathematical Theory of War”. This piece unleashed a veritable avalanche of formal theorizing and empirical research about arms races in subsequent years. The wealth of theoretical and empirical arms race studies has been well-documented in bibliographies (Cioffi-Revi1la 1979) and reviews of the literature (Busch 1970, Moll and Luebbert 1980, Intriligator 1976, 1982). In modern textbooks, formal modelling of arms races is distinguished as one of the major scientific approaches to the study of international relations (Zinnes 1976), doctoral theses (e.g. Schrodt 1977, Smith 1978) and stimulating monographs (Nincic 1982) have emerged from the field.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Altfeld, Michael F., “Arms Races? - and Escalation?”, International Studies Quarterly 27 (1983), 225–231.
Busch, Peter A., “Appendix:Mathematical Models of Arms Races” in:Bruce M. Russett, What Price Vigilance?, New Haven, 1970.
Cioffi-Revilla, Claudio A., Mathematical Models in International Relations:A Bibliography (Institute for Research in Social Science, IRSS Technical Paper No. 4), Chapel Hill, 1979.
Cusack, Thomas R. and Michael D. Ward, “Military Spending in the United States, Soviet Union, and the People’s Republic of China”, Journal of Conflict Resolution 25 (1981), 429–469.
Goldmann, Kjell, Tension and Détente in Bipolar Europe, Stockholm, 1974.
Intriligator, Michael D., “Formal Models of Arms Races”, Journal of Peace Science 2 (1976), 77–88.
Intriligator, Michael D., “Research on Conflict Theory”, Journal of Conflict Resolution 26 (1982), 307–328.
Luterbacher, Urs, “Arms Race Models:Where Do We Stand?”, European Journal of Political Research 3 (1975), 199–217.
Mihalka, Michael, Arms Accumulation in the Middle East (Center for International Studies Paper, Massachusetts Institute of Technology),Cambridge, Mass., 1975.
Moll, Kendall D. and Gregory M. Luebbert, “Arms Race and Military Expenditure Models”, Journal of Conflict Resolution 24 (1980), 153–185.
Nincic, Miroslav, The Arms Race, New York, 1982.
Ostrom, Charles W., “Evaluating Alternative Foreign Policy Decision-Making Models”, Journal of Conflict Resolution 21 (1977), 235–266.
Rapoport, Anatol, “Lewis F. Richardson’s Mathematical Theory of War”, Journal of Conflict Resolution 1 (1957), 249–299.
Rattinger, Hans, “Gleichgewicht von Riis tungswe ttlauf en und seine Stabi1itatseigenschaften als Erklarungs- variablen fur den Ausgang von Riis tung swe ttlauf en”, Politische Vierteljahresschrift 15 (1974), 471–523.
Rattinger, Hans, Rüstungsdynamik im Internationalen System, München, 1975a.
Rattinger, Hans, “Armaments, Detente, and Bureaucracy”, Journal of Conflict Resolution 19 (1975b), 571–595.
Rattinger, Hans, “Rüstung in Europa:Aufrtistung, Wett- riisten und andere Erklarungen”, Österreichische Zeitschrift fur Politikwissenschaft 4 (1975c), 231–250.
Rattinger, Hans, “From War to War to War:Arms Races in the Middle East”, International Studies Quarterly 20 (1976a), 501–531.
Rattinger, Hans, “Econometrics and Arms Races”, European Journal of Political Research 4 (1976b), 421–439.
Richardson, Lewis F., Arms and Insecurity, Chicago, 1960a (initially published as Generalized Foreign Politics, London, 1939 ).
Richardson, Lewis F., Statistics of Deadly Quarrels, Chicago, 1960b.
Russett, Bruce M., “International Interactions and Processes”, in:Ada Finifter, ed., Political Science:The State of the Discipline, Washington, 1983, 541–568.
Schrodt, Philip A., The Effects of a Richardson Arms. Race on the Distribution of Power in an International System ( Ph.D.Dissertation, Indiana University ), 1977.
Singer, J. David, “The Outcome of Arms Races”, Proceedings of the International Peace Research Association, Third General Conference, vol. II:The International System, Assen, 1970, 135–146.
Singer, J. David and Melvin Small, The Wages of War, 1816–1965, New York, 1972.
Smith, Theresa C., The Arms Race/War Connection (Ph. D. Dissertation, University of Minnesota)
Wallace, Michael D., “Arms Races and Escalation”, Journal of Conflict Resolution 23 (1979), 3–16.
Wallace, Michael D.,“Armaments and Escalation”, International Studies Quarterly 26 (1982), 37–56.
Wallace, Michael D., “Arms Races and Escalation”, International Studies Quarterly 27 (1983), 233–235.
Ward, Michael D., The Differential Paths to Parity (Paper, Science Center Berlin), 1982.
Weede, Erich, “Arms Races and Escalation”, Journal of Conflict Resolution 24 (1980), 285–287.
Wright, Quincy, A Study of War, Chicago, 21963.
Zinnes, Dina A., Contemporary Research in International Relations, New York, 1976.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1984 Plenum Press, New York
About this chapter
Cite this chapter
Rattinger, H. (1984). Empirical Validation of Richardson Models of Arms Races. In: Avenhaus, R., Huber, R.K. (eds) Quantitative Assessment in Arms Control. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2805-6_8
Download citation
DOI: https://doi.org/10.1007/978-1-4613-2805-6_8
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-9727-7
Online ISBN: 978-1-4613-2805-6
eBook Packages: Springer Book Archive