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.

翻译：本文对日本、其他国家及国际原子能机构（IAEA）围绕福岛第一核电站经处理核污水排海决策的战略互动进行了学术研究。论文引入收益矩阵与复制动态方程中的时滞元素，以反映现实决策中的延迟特征。通过线性化系统的特征根与数值模拟，分析了不同稳定状态下策略的稳定性及稳定条件。研究结论表明，时滞显著影响核污水处置决策的稳定性与演化路径。本研究强调了高效污水处理技术的重要性、出口税收损失对日本策略的影响以及国际合作的积极作用。其创新性在于将海洋动力学与政府决策中的时滞元素整合进博弈论模型。