科研模式触发：当涉及数学建模、论文分析、算法设计中的多方互动决策、纳什均衡计算、机制设计时调用。 生活模式触发：当涉及日常决策受他人影响、人际互动策略、生活规划中的利益协调与冲突时调用。 Research mode trigger: When math modeling, paper analysis, algorithm design involves multi-party interactive decisions, Nash equilibrium computation, mechanism design. Life mode trigger: When daily decisions are influenced by others, interpersonal interaction strategy, benefit coordination and conflict in life planning. English: Trigger when decisions involve multiple interacting parties, optimal strategy depends on others' choices, or incentive mechanisms need designing.