Light Yagami's pursuit of justice in the anime "Death Note" is initially driven by his desire to create a world free of crime and to establish himself as a self-proclaimed "god" of this new world. As the consequences become more severe, his motivation evolves into an obsession with power and control, fueling his determination to eliminate anyone who stands in the way of his vision for a perfect society. This obsession blinds him to the moral implications of his actions, leading to his downfall.