Examples ======== Real-world applications of PrefGraph. `Detecting Inconsistency in AI Agents `_ Do LLMs keep a stable action ranking across menus? We build preference graphs from model choices and test for cycles (SARP, IIA), then quantify minimal edits (HM) to restore consistency. `Descriptive Study of Classifieds Choice `_ How consistent are 70,000 users on Norway's largest classifieds platform? We map 1.3M unique listings to 290 category-geography groups, run SARP, HM, and RUM tests, and compare search versus recommendation behavior. `Predicting Customer Spend & Engagement `_ Do RP features improve predictive models? We benchmark GARP, CCEI, MPI, HM, and VEI features against spend/engagement baselines on churn, high-spender, engagement, and LTV tasks across 10+ datasets. `Performance Benchmarks `_ Throughput and scaling metrics for the Rust engine across dataset sizes, user counts, and choice dimensions. .. toctree:: :hidden: :maxdepth: 1 budget/app_llm_benchmark menu/app_finn_slates benchmarks_ecommerce performance