{"id":"W4252888861","doi":"10.23952/jano.1.2019.1.04","title":"Convergence of solutions to lexicographic equilibrium problems","year":2019,"lang":"en","type":"article","venue":"Journal of Applied and Numerical Optimization","topic":"Lexicography and Language Studies","field":"Arts and Humanities","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"National Foundation for Science and Technology Development","keywords":"Lexicographical order; Convergence (economics); Applied mathematics; Mathematics; Mathematical optimization; Mathematical economics; Computer science; Economics; Combinatorics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001274303,0.000078495,0.0002051381,0.0001513862,0.0000686027,0.00003075361,0.00006980758,0.00002383825,0.0004479128],"category_scores_gemma":[0.000009051589,0.00005841389,0.00007362313,0.0001123936,0.00009699038,0.0001303896,0.00003099536,0.00007970948,0.000004189742],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000004895018,"about_ca_system_score_gemma":0.0000136075,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001003221,"about_ca_topic_score_gemma":0.000001487521,"domain_scores_codex":[0.9993361,0.0000112195,0.0003032579,0.00008234505,0.0001484617,0.0001186105],"domain_scores_gemma":[0.999474,0.00003444499,0.0002177704,0.00005979825,0.0001528961,0.00006110375],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0008079063,0.0007316221,0.002722979,0.0004570669,0.0005827733,0.000004312639,0.1044975,0.4410596,0.007705098,0.43064,0.003160049,0.007630999],"study_design_scores_gemma":[0.02182674,0.02216768,0.01689195,0.002835366,0.002337005,0.0001703635,0.120096,0.1844639,0.01002454,0.06370507,0.5492828,0.006198439],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.720786,0.003301524,0.131914,0.002048883,0.002174026,0.001321916,0.00004654886,0.0000882131,0.1383189],"genre_scores_gemma":[0.9973515,0.00008707074,0.002198294,0.000153312,0.0001226572,0.000002924796,0.000001780227,0.000007002823,0.00007542247],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5461228,"threshold_uncertainty_score":0.490433,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.015232416422482,"score_gpt":0.2066567205166707,"score_spread":0.1914243040941887,"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."}}