Before revision:  For sufficiently thick markets , we show that such a myopic policy is also optimal in the long run. In thinner markets, even though a static policy of full or no adoption can be suboptimal, we show it achieves a constant-factor approximation where the factor improves with market thickness.
After revision:  For sufficiently thick markets , we show that such a policy is either optimal or achieves a constant-factor approximation where the factor improves with market thickness.