{"id":"W2028553491","doi":"10.1016/s0304-4068(99)00044-0","title":"A note on ordinally equivalent Pareto surfaces","year":2000,"lang":"en","type":"article","venue":"Journal of Mathematical Economics","topic":"Economic theories and models","field":"Economics, Econometrics and Finance","cited_by":11,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Pareto principle; Corollary; Surface (topology); Transformation (genetics); Set (abstract data type); Monotone polygon; Preference; Mathematical economics; Mathematics; Computer science; Mathematical optimization; Pure mathematics; Geometry; Chemistry; Statistics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.001188967,0.0002096049,0.0008439281,0.0001462729,0.00006834415,0.0001137659,0.0004275712,0.0001235289,0.005966499],"category_scores_gemma":[0.0001182762,0.0002050723,0.0003553567,0.00005169724,0.00008289519,0.0003338953,0.00003526097,0.0002602213,0.002363566],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002057272,"about_ca_system_score_gemma":0.00004533916,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004996743,"about_ca_topic_score_gemma":0.000002992658,"domain_scores_codex":[0.9977387,0.00001326975,0.001641966,0.0002463831,0.00003126005,0.0003283905],"domain_scores_gemma":[0.9983644,0.0002389239,0.0008077612,0.0003474435,0.00003282901,0.0002086818],"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":[0.0001780269,0.0002511723,0.0002145002,0.00004170019,0.00011818,0.00001039686,0.0004111074,0.009804198,0.000004719296,0.9828854,0.0009525898,0.005128043],"study_design_scores_gemma":[0.0009897606,0.0004416649,0.0002853995,0.00006945686,0.00001864708,0.00009841828,0.00008057665,0.009571333,0.00008550776,0.9138709,0.07415836,0.0003300014],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8733159,0.0002823269,0.002674736,0.001686938,0.0003471339,0.000115438,0.00005997003,0.00001378334,0.1215038],"genre_scores_gemma":[0.9913883,0.0008935381,0.004067784,0.0005839439,0.0003067291,0.000003670332,0.000001438245,0.00004267838,0.002711906],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1187919,"threshold_uncertainty_score":0.9984132,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03604073082717639,"score_gpt":0.2387891421753756,"score_spread":0.2027484113481992,"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."}}