  This academic paper examines the strategic interactions between Japan, other
nations, and the International Atomic Energy Agency (IAEA) regarding Japan's
decision to release treated nuclear wastewater from the Fukushima Daiichi
Nuclear Power Plant into the sea. It introduces a payoff matrix and time-delay
elements in replicator dynamic equations to mirror real-world decision-making
delays. The paper analyzes the stability of strategies and conditions for
different stable states using characteristic roots of a linearized system and
numerical simulations. It concludes that time delays significantly affect
decision-making stability and evolution trajectories in nuclear wastewater
disposal strategies. The study highlights the importance of efficient
wastewater treatment technology, the impact of export tax revenue losses on
Japan's strategies, and the role of international cooperation. The novelty of
the research lies in integrating time-delay elements from ocean dynamics and
governmental decision-making into the game-theoretical model.
