{"id":"W4378674802","doi":"10.1016/j.insmatheco.2023.05.006","title":"Pairwise counter-monotonicity","year":2023,"lang":"en","type":"article","venue":"Insurance Mathematics and Economics","topic":"Risk and Portfolio Optimization","field":"Decision Sciences","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"Actua; University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Monotonic function; Pairwise comparison; Mathematics; Representation (politics); Property (philosophy); Quantile; Mathematical economics; Applied mathematics; Econometrics; Statistics; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003796037,0.00143083,0.001993434,0.002011763,0.0024387,0.004203301,0.002474791,0.002221924,0.03728363],"category_scores_gemma":[0.02289924,0.0009471474,0.002466199,0.001729884,0.003217759,0.01306188,0.006478867,0.008986167,0.004710916],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001209526,"about_ca_system_score_gemma":0.001438217,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000518139,"about_ca_topic_score_gemma":0.000510069,"domain_scores_codex":[0.9954938,0.00152756,0.0002656488,0.001113167,0.001120238,0.0004795608],"domain_scores_gemma":[0.9886556,0.005998683,0.0006653207,0.002043388,0.001896631,0.0007403535],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004328152,0.00002556417,0.0002011652,0.00008290669,0.0000236102,0.00008262145,0.00007088255,0.0006431547,0.0006933178,0.9822673,0.006020046,0.009846091],"study_design_scores_gemma":[0.000009162964,0.0000164947,0.0001412602,0.00002118441,0.00001209343,0.0002561924,0.00002975212,0.00380179,0.0004792866,0.989843,0.005381595,0.000008203028],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.06864895,0.002576537,0.4245654,0.009541908,0.001675688,0.0002078322,0.001400839,0.0006247752,0.4907581],"genre_scores_gemma":[0.766157,0.002898142,0.1160144,0.006035184,0.001581196,0.0008257033,0.001935905,0.001092174,0.1034604],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.03728363,"threshold_uncertainty_score":0.1247262,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0736198519584988,"score_gpt":0.3266547097669433,"score_spread":0.2530348578084445,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}