{"id":"W2913811578","doi":"10.1109/cdc.2018.8619367","title":"Graphon Mean Field Games and the GMFG Equations","year":2018,"lang":"en","type":"article","venue":"","topic":"Game Theory and Applications","field":"Decision Sciences","cited_by":52,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University; McGill University","funders":"","keywords":"Uniqueness; Sketch; Generalization; Game theory; Dynamical systems theory; Nash equilibrium; Mathematical economics; Computer science; Field (mathematics); Dynamical system (definition); Mathematics; Applied mathematics; Discrete mathematics; Theoretical computer science; Pure mathematics; Algorithm; Mathematical analysis; Physics","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":[0.0008270173,0.0004941765,0.0004737322,0.0006349546,0.0004653925,0.0008702066,0.0008374306,0.001365494,0.002523735],"category_scores_gemma":[0.002241467,0.0001791243,0.0006693383,0.0003613221,0.001586621,0.001674494,0.0009099524,0.00114468,0.000198761],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001457028,"about_ca_system_score_gemma":0.000885753,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00543798,"about_ca_topic_score_gemma":0.003627482,"domain_scores_codex":[0.9996469,0.0001578581,0.00001104035,0.00005664138,0.00008220776,0.00004534426],"domain_scores_gemma":[0.9995288,0.0002768449,0.00006388313,0.00002518725,0.00005180128,0.00005348249],"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":[0.000006585288,0.000006474567,0.0002100503,0.00001769637,0.000007017909,0.0000417644,0.0000593577,0.03404824,0.0003894628,0.9616917,0.0008680486,0.002653649],"study_design_scores_gemma":[0.00001407007,0.00001458853,0.0002464761,0.00001299473,0.000005672906,0.00004941204,0.00003447385,0.2051498,0.0001331662,0.7911589,0.003168279,0.00001217158],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09673151,0.001869856,0.8433369,0.005140033,0.0002735947,0.0001027539,0.000309551,0.0001001745,0.05213568],"genre_scores_gemma":[0.8868269,0.00170093,0.0876942,0.0008547856,0.0002412977,0.0002781465,0.0001610378,0.00003719384,0.02220556],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00543798,"threshold_uncertainty_score":0.01081264,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1007480457693853,"score_gpt":0.3966995229109854,"score_spread":0.2959514771416001,"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."}}