1. A display device that includes a display portion in which a plurality of pixels that have light emitting elements that emit light in accordance with an amount of electric can are arranged in the form of a matrix, scanning lines that supply to the pixels, in a specified scan cycle, selection signals that select the pixels that will emit light, and data lines that supply video signals to the pixels, the display device comprising: a storage portion that stores data that pertain to amounts of light emission that correspond to a plurality of positions in the display portion and that are accumulated based on the video signals for a plurality of frames; and a luminance control portion that performs control based on a peak value of the data that pertain to the amounts of light emission and are stored in the storage portion, such that maximum luminances of the video signals that are supplied to the display portion are restricted.