According to at least one example embodiment, a method and corresponding apparatus for controlling power in a multi-core processor chip include: accumulating, at a controller within the multi-core processor chip, one or more power estimates associated with multiple core processors within the multi-core processor chip. A global power threshold is determined based on a cumulative power estimate, the cumulative power estimate being determined based at least in part on the one or more power estimates accumulated. The controller causes power consumption at each of the core processors to be controlled based on the determined global power threshold. The controller may directly control power consumption at the core processors or may command the core processors to do so.