{"id":"W4399189595","doi":"10.3842/sigma.2024.045","title":"The Cobb-Douglas Production Function and the Old Bowley's Law","year":2024,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Economic theories and models","field":"Economics, Econometrics and Finance","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Dalhousie University","funders":"","keywords":"Wage; Economics; Production (economics); Function (biology); Factor shares; Cobb–Douglas production function; Mathematical economics; CobB; Capital (architecture); Classical economics; Law; Neoclassical economics; Econometrics; Labour economics; Microeconomics; Political science; History","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":[0.002937613,0.001139803,0.001249254,0.001912314,0.001149489,0.003841403,0.002107024,0.003010595,0.006169363],"category_scores_gemma":[0.01135638,0.0006853388,0.001294109,0.002868116,0.004123603,0.003785414,0.001240128,0.002572541,0.002134232],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.004086181,"about_ca_system_score_gemma":0.002724296,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.01462436,"about_ca_topic_score_gemma":0.005864669,"domain_scores_codex":[0.9983742,0.0004405264,0.00009591111,0.0004736184,0.0004392454,0.0001763722],"domain_scores_gemma":[0.9952443,0.003053784,0.0006612185,0.0002515202,0.0006586552,0.0001305195],"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":[0.0000170305,0.00002800901,0.001625281,0.0001132492,0.00002497384,0.0002398663,0.0002019869,0.03302988,0.0002807736,0.9457463,0.004942904,0.01374976],"study_design_scores_gemma":[0.00002177043,0.00003919239,0.001799106,0.0001344273,0.0000277077,0.000282831,0.0001231274,0.08432315,0.0002822885,0.8675193,0.04537839,0.00006880361],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02940825,0.01267524,0.8747326,0.007908173,0.0007621476,0.0002082096,0.002141646,0.0003111796,0.0718526],"genre_scores_gemma":[0.7557223,0.02111502,0.1639671,0.001562694,0.001285651,0.0005378128,0.001115622,0.0001358419,0.05455787],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01462436,"threshold_uncertainty_score":0.02964747,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02250345554969923,"score_gpt":0.2878067640166546,"score_spread":0.2653033084669553,"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."}}