This paper provides a simple counterexample to the standard belief that in a world economy in which all countries are small, strategic interactions between policymarkers are trivial and thus cooperative and non-cooperative government policies coincide. It is well known that this holds for tariff policies. However, this paper demonstrates the result does not apply to fiscal policy. In addition, the paper analyzes how optimally coordinated fiscal policies differ from non-cooperative policies. It finds that, relative to optimally coordinated levels, non-cooperative government spending can be too high or too low, depending on the sign of a transmission effect which captures the overall effect countries' actions have on each other.