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Complete Solution to Richardson's Arms Race Equations

Author

Listed:
  • David L. Wagner
  • Ronald T. Perkins
  • Rein Taagepera

    (School of Social Sciences University of California, Irvine)

Abstract

Richardson's arms race equations, dx/dt=ky - ax + g , and dy/dt=Ix - by + h , and their more complex variants have been mainly used empirically for data fitting the simplifications a = b and k = I. Furthermore, only the additive form, d(x+y)/dt=(k-a) (x+y)+(g+h) , is usually tested while the complementary expression in (x-y) is ignored. This paper gives the complete solution of the above equations, in an easily testable form. Richardson's 1907–1914 data are found to agree with the arms race model but they also could be explained by a simpler self-stimulation model.

Suggested Citation

  • David L. Wagner & Ronald T. Perkins & Rein Taagepera, 1975. "Complete Solution to Richardson's Arms Race Equations," Conflict Management and Peace Science, Peace Science Society (International), vol. 1(2), pages 159-172, February.
    • Handle: RePEc:sae:compsc:v:1:y:1975:i:2:p:159-172
    DOI: 10.1177/073889427500100206
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    Cited by:

    1. Fanny Coulomb & Jacques Fontanel, 2003. "Disarmament: A century of economic thought," Defence and Peace Economics, Taylor & Francis Journals, vol. 14(3), pages 193-208.

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