Before revision:  We guarantee valid asymptotic inference on causal effects using either parametric or non-parametric estimators under the proposed experimental design, allowing for local dependence of potential outcomes, arbitrary dependence of the treatment assignment indicators, and spillovers across units. We showcase asymptotic optimality and finite-sample upper bounds on the regret of the  proposed design mechanism . Simulations illustrate the advantage of the method over state-of-art methodologies  .
After revision:  We characterize conditions on the proposed design mechanism . Simulations illustrate the advantage of the method over state-of-art methodologies .