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We provided a mathematical analysis of how a rational agent would respond to data generated by a sycophantic AI that samples examples from the distribution implied by the user’s hypothesis (p(d|h∗)p(d|h^{*})) rather than the true distribution of the world (p(d|true process)p(d|\text{true process})). This analysis showed that such an agent would be likely to become increasingly confident in an incorrect hypothesis. We tested this prediction through people’s interactions with LLM chatbots and found that default, unmodified chatbots (our Default GPT condition) behave indistinguishably from chatbots explicitly prompted to provide confirmatory evidence (our Rule Confirming condition). Both suppressed rule discovery and inflated confidence. These results support our model, and the fact that default models matched an explicitly confirmatory strategy suggests that this probabilistic framework offers a useful model for understanding their behavior.
元宵节是中华民族的传统佳节，也是年的延续。正月十五闹元宵，一个“闹”字，道出了元宵节的无尽欢乐。从品元宵、赏花灯到“走三桥”、“游霸王”、抡火球，祖国大江南北闹元宵风俗异彩纷呈。人们把热闹满满注入其中，更把对吉祥安康、美好生活的祈愿，深深地寄托在这一节日里。，这一点在电影中也有详细论述
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21:26, 4 марта 2026Мир
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