We study countries choosing armament levels and then whether or not to go to war. We show that if the costs of war are not overly high or low, then all equilibria must involve "dove," "hawk," and "deterrent" strategies and the probability of war is positive (but less than one) in any given period. Wars are between countries with differing armament levels and the frequency of wars is tempered by the presence of armament levels that are expressly chosen for their deterrent properties. As the probability of winning a war becomes more reactive to increased armament, the frequency of wars decreases. Finally, as it becomes increasingly possible to negotiate a credible settlement, the probability of peace increases, but the variance of armament levels increases and war becomes increasingly likely when negotiation is not available. This matches observed patterns in the data over time.
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Paper provided by Columbia University, Department of Economics in its series Discussion Papers with number
0708-04.
References listed on IDEAS Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
Michele Piccione & Ariel Rubinstein, 2007.
"Equilibrium in the Jungle,"
Economic Journal,
Royal Economic Society, vol. 117(522), pages 883-896, 07.
[Downloadable!] (restricted)
Balinga, Sandeep & Sjostrom, Tomas, 2001.
"Arms Races and Negotiations,"
Working Papers
3-01-2, Pennsylvania State University, Department of Economics.
[Downloadable!]