Prediction-of-use (POU) games (Robu et al., 2017) address the mismatch between energy supplier costs and the incentives imposed on consumers by a fixed-rate electricity tariff. However, the framework does not address how consumers should coordinate to maximize social welfare. To address this, we develop MPOU games, an extension of POU games in which agents report multiple acceptable electricity use profiles. We show that MPOU games share many attractive properties with POU games (e.g., convexity). Despite this, MPOU games introduce new incentive issues that prevent the consequences of convexity from being exploited directly, a problem we analyze and resolve. We validate our approach with experimental results using utility models learned from real electricity use data.