{"id":"W4415183496","doi":"10.1016/j.automatica.2025.112643","title":"On linear quadratic potential games","year":2025,"lang":"en","type":"article","venue":"Automatica","topic":"Game Theory and Applications","field":"Decision Sciences","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung","keywords":"Nash equilibrium; Potential game; Action (physics); Class (philosophy); Convergence (economics); Quadratic equation; Best response; Set (abstract data type)","routes":{"ca_aff":true,"ca_fund":true,"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":["insufficient_payload"],"category_scores_codex":[0.000851302,0.00008316559,0.0001609012,0.0001630006,0.0001614945,0.0001160384,0.0005282389,0.00004431289,0.001120101],"category_scores_gemma":[0.00170908,0.00005821731,0.00007932559,0.0006081347,0.00009496137,0.00007349307,0.00006749618,0.00008633225,0.005601141],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001132733,"about_ca_system_score_gemma":0.00005077411,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001911203,"about_ca_topic_score_gemma":0.000001424652,"domain_scores_codex":[0.9986745,0.0001332575,0.0003719187,0.0002480874,0.0004300234,0.0001421909],"domain_scores_gemma":[0.9977311,0.001393893,0.00007564753,0.0006761889,0.00007473573,0.00004835848],"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":[0.00001159805,0.0001213086,0.00005642356,0.000004287973,0.00001538906,0.000002707052,0.0001817014,0.0004572641,0.0006069839,0.9174535,0.03121257,0.04987631],"study_design_scores_gemma":[0.0001612709,0.0000328164,0.005950833,0.00002454108,0.00001486483,0.00000112913,0.0001734781,0.0460793,0.001164889,0.9338219,0.01249642,0.00007854549],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7389399,0.00004455811,0.09011322,0.01308958,0.0004288864,0.000323561,0.000009186988,0.0002889099,0.1567622],"genre_scores_gemma":[0.9827282,0.000001229756,0.002060956,0.001075382,0.00002673415,0.00002704308,0.000001366789,0.000003946021,0.01407511],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2437884,"threshold_uncertainty_score":0.999793,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03962225223216166,"score_gpt":0.4028065365741275,"score_spread":0.3631842843419659,"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."}}