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We characterize the unique equilibrium of a competitive continuoustime game between a resource-constrained informed player and asequence of rivals who partially observe his action intensity. Ourgame adds noisy monitoring and impatient players to Aumannand Maschler (1966), and also subsumes insider trading models.The intensity bound induces a novel strategic bias and serial meanreversion by uninformed players. We compute the duration of theinformed player's informational edge. The uninformed player'svalue of information is concave if the intensity bound is largeenough. Costly obfuscation by the informed player optimally rises inthe public deception.