{"id":"W2571136727","doi":"10.1109/cdc.2016.7799341","title":"Linear-quadratic mean field teams with a major agent","year":2016,"lang":"en","type":"article","venue":"","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":32,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematical optimization; Uniqueness; Optimal control; Population; Mathematics; Field (mathematics); Mean field theory; Quadratic equation; Stochastic differential equation; Computer science; Applied mathematics; Mathematical analysis; Pure mathematics","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":[],"category_scores_codex":[0.00008506318,0.00009502682,0.0001742238,0.00005835034,0.00007405855,0.00001920795,0.0001510311,0.00004921174,0.0005458515],"category_scores_gemma":[0.00005808709,0.00006283711,0.00004058218,0.0001598439,0.00003019174,0.000088487,0.00002901436,0.0000427542,0.00153136],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003167942,"about_ca_system_score_gemma":0.00002004653,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001957176,"about_ca_topic_score_gemma":0.0001491457,"domain_scores_codex":[0.9992589,7.784975e-7,0.000262298,0.0002674385,0.00002402075,0.0001866049],"domain_scores_gemma":[0.9994777,0.00006134053,0.00010816,0.0002614999,0.00002553815,0.00006577981],"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":[0.00001250284,0.00004639785,0.001636047,0.000008240022,0.00001473964,0.000001081966,0.0001069249,7.360317e-7,0.00002971225,0.9918417,0.0004299677,0.005871916],"study_design_scores_gemma":[0.001930266,0.0006415173,0.006597398,0.00007472774,0.00001993481,0.00001067786,0.0001286555,0.0007470087,0.001718426,0.8409165,0.1464456,0.0007692964],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.008130617,0.0002430871,0.9545715,0.003712964,0.00006680997,0.0001645748,0.00002790003,0.00005198192,0.03303052],"genre_scores_gemma":[0.98594,0.00003026653,0.008794018,0.0008066217,0.0001179301,0.000107028,0.00000188651,0.00001556207,0.004186727],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9778094,"threshold_uncertainty_score":0.9992461,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0176773540055622,"score_gpt":0.2140598674615601,"score_spread":0.1963825134559979,"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."}}