{"id":"W3183232237","doi":"10.48550/arxiv.2107.09168","title":"Linear quadratic mean field games: Decentralized $O(1/N)$-Nash equilibria","year":2021,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"","keywords":"Ode; Nash equilibrium; Mathematics; Riccati equation; Applied mathematics; Ordinary differential equation; State (computer science); Differential (mechanical device); Quadratic equation; Field (mathematics); Mathematical optimization; Mathematical economics; Differential equation; Mathematical analysis; Pure mathematics; 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":[0.001185168,0.0005846716,0.0007614982,0.0003251908,0.0003865551,0.0008694631,0.0007718852,0.0008939937,0.002764158],"category_scores_gemma":[0.00572812,0.0002700885,0.000449035,0.0002937227,0.001252571,0.001769021,0.001153002,0.0008445511,0.0002541324],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009468893,"about_ca_system_score_gemma":0.0006805654,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001572282,"about_ca_topic_score_gemma":0.0009213805,"domain_scores_codex":[0.9994189,0.0002687369,0.00001956258,0.0001259618,0.0001070928,0.00005980484],"domain_scores_gemma":[0.9984972,0.0009500111,0.0002363047,0.00007342912,0.000159939,0.00008308154],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001083289,0.00009934443,0.0006204581,0.0001333695,0.00004781348,0.000217688,0.0001388502,0.4932919,0.009728529,0.4809415,0.00128095,0.01339117],"study_design_scores_gemma":[0.00002228955,0.00004651547,0.0001409642,0.000004079206,0.000004907237,0.00002958903,0.00001879804,0.9018311,0.0005372198,0.09697705,0.0003791323,0.000008343925],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1251696,0.0001657259,0.8614581,0.0005884852,0.00002815026,0.00006794518,0.00005257095,0.0001210429,0.01234836],"genre_scores_gemma":[0.959021,0.000145557,0.03337028,0.0001149897,0.00004763011,0.0001505974,0.0000454108,0.00003353905,0.007070877],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002764158,"threshold_uncertainty_score":0.009247065,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08480233525153716,"score_gpt":0.195399976047484,"score_spread":0.1105976407959469,"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."}}