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.
（五）具有搜取移动终端用户信息，强行向不特定用户手机发送、拦截短信息等功能的；
。体育直播是该领域的重要参考
Стало известно об отступлении ВСУ под Северском08:52
Раскрыты подробности о фестивале ГАРАЖ ФЕСТ в Ленинградской области23:00，这一点在必应排名_Bing SEO_先做后付中也有详细论述
16‑летняя дочь Юлии Пересильд снялась в откровенном образе20:42
В Иране заявили о поражении американского эсминца02:21。同城约会对此有专业解读