Liquid crystal display element, driving method of the same, and electronic paper having the same

A liquid crystal display element comprising:

• a liquid crystal enclosed between a pair of substrates;
• a pixel including the liquid crystal and a pair of electrodes sandwiching the liquid crystal;
• and
• a driving device for displaying a multiplicity of grayscales by performing a first step for initializing the liquid crystal in the pixel and displaying an initial grayscale at the pixel and a second step for displaying a desired grayscale lower than the initial grayscale by making a cumulative time difference between low grayscales lower than a reference grayscale longer than a cumulative time difference between high grayscales higher than the reference grayscale, where the cumulative time differences are a difference between a cumulative voltage application time of voltage pulses cumulatively applied to display a grayscale lower than the initial grayscale and a cumulative voltage application time of the voltage pulses cumulatively applied to display a grayscale one level lower than the grayscale lower than the initial grayscale.