Abstract
Sometimes a large power attempts to influence the actions of one or more smaller agents that may be influenced by other small agents. This situation gives rise to amixed system of symmetric and asymmetric interactions and each case of this kind seems to have unique characteristics. This article asks, can a formal approach bring out some general features of such interactions? We extend a well-known model of the dynamics of arms races in new directions, and produce some counterintuitive results that may have interest for policy debates.
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