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An otome game is a story based video game that is targeted towards the female market. Generally one of the goals, besides the main plot goal, is to develop a romantic relationship between the female player character and one of several male or female characters.

http://en.wikipedia.org/wiki/Otome_game

Work centered on following a character through the ups and downs during a notable part of their life. There's often more of an emphasis on characterization, relationships, and a series of dramatic events than on strict adherence to conventional story structures and plotlines.