{"id":"W2954622038","doi":"10.2139/ssrn.3013429","title":"A Mean Field Competition","year":2017,"lang":"en","type":"preprint","venue":"SSRN Electronic Journal","topic":"Consumer Market Behavior and Pricing","field":"Business, Management and Accounting","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"National Science Foundation","keywords":"Rank (graph theory); Fraction (chemistry); Competition (biology); Scheme (mathematics); Principal (computer security); Computer science; Field (mathematics); Population; Mathematical optimization; Mathematics; Combinatorics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001576141,0.0007346905,0.00202709,0.001588327,0.002305673,0.005227723,0.001879869,0.005580576,0.06302764],"category_scores_gemma":[0.005909783,0.0004992018,0.001712531,0.001137471,0.002408811,0.005043954,0.001877519,0.00307794,0.004266024],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001520768,"about_ca_system_score_gemma":0.00183674,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001796308,"about_ca_topic_score_gemma":0.001601882,"domain_scores_codex":[0.998684,0.0003475976,0.00003560509,0.0003042833,0.0003248217,0.000303773],"domain_scores_gemma":[0.9969493,0.001003191,0.000197106,0.0004574678,0.0006144277,0.0007785257],"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":[0.0001006296,0.00008962969,0.0001281905,0.00004349214,0.00002323448,0.00007927373,0.00003782344,0.002093256,0.001033957,0.9810057,0.0101474,0.005217405],"study_design_scores_gemma":[0.00009512643,0.0001003746,0.0006691421,0.00001510301,0.00001973651,0.0002959052,0.00006220863,0.03448852,0.0003476993,0.9588571,0.005011133,0.00003797866],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1790449,0.001296242,0.1169557,0.0164781,0.001833132,0.0001466554,0.0008418669,0.000769721,0.6826336],"genre_scores_gemma":[0.8611783,0.000402009,0.007808841,0.002179636,0.001339981,0.00007060629,0.0002823939,0.0001541807,0.1265841],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.06302764,"threshold_uncertainty_score":0.2108485,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01820530135985,"score_gpt":0.2571349086354764,"score_spread":0.2389296072756264,"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."}}