@article{statisticalimpossibilityandpossibilityof, title = {Statistical Impossibility and Possibility of Aligning LLMs with Human Preferences: From Condorcet Paradox to Nash Equilibrium}, author = {Kaizhao Liu and Qi Long and Zhekun Shi and Weijie J. Su and Jiancong Xiao}, year = {2025}, eprint = {2503.10990}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2503.10990v1}, }