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.
На Украине рассказали о технике влияния Ермака на Зеленского14:52。关于这个话题，搜狗输入法2026提供了深入分析
，这一点在搜狗输入法2026中也有详细论述
入夜，沂水静流。山东曲阜市尼山鲁源村景区的“寻礼”之旅，吸引了八方来客。。业内人士推荐夫子作为进阶阅读
Dust was yet to settle on Luke Donald’s commitment to a third successive stint as Europe’s Ryder Cup captain when Rory McIlroy highlighted the elephant in the locker room.
A note on names