{"id":"W7123345170","doi":"10.1109/cdc57313.2025.11312830","title":"Mean Field Games on Sparse Network Limits: Laplexion Dynamics and ε-Nash Equilibria","year":2025,"lang":"","type":"article","venue":"","topic":"Opinion Dynamics and Social Influence","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University; McGill University","funders":"","keywords":"Limit (mathematics); Infinity; Mean field theory; Network topology; Node (physics); Population; Cluster (spacecraft); Laplace operator; Graph; Field (mathematics)","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002712525,0.0004267419,0.0005205446,0.00008622855,0.0004410595,0.0004236066,0.0003065601,0.0002559629,0.0004046479],"category_scores_gemma":[0.00002292264,0.000437169,0.0002112014,0.0004332782,0.0001561093,0.000192279,0.0002743165,0.0005035948,0.00005077578],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008911893,"about_ca_system_score_gemma":0.0001985325,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004297559,"about_ca_topic_score_gemma":0.0002967165,"domain_scores_codex":[0.9977988,0.0001126458,0.0005745026,0.000650952,0.0002021786,0.0006609194],"domain_scores_gemma":[0.9985592,0.0004629412,0.0001828168,0.0004999186,0.0001079635,0.0001871909],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00008808997,0.0001377085,0.01609826,0.00004228025,0.0001661654,0.000001326089,0.0001904755,0.0008382716,0.00001221742,0.9102471,0.005159188,0.06701889],"study_design_scores_gemma":[0.00202875,0.0009508568,0.009159957,0.00137311,0.0002315223,5.721502e-7,0.002421981,0.724001,0.000184454,0.2203046,0.03792559,0.001417611],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5813587,0.001042373,0.03161126,0.01388401,0.00479398,0.001116462,0.0001727377,0.000128681,0.3658918],"genre_scores_gemma":[0.9773999,0.0004321478,0.0004533794,0.002412687,0.0007176496,0.00001809343,0.00006482286,0.00002776487,0.01847357],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7231627,"threshold_uncertainty_score":0.999808,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01180311463760475,"score_gpt":0.2749761375606084,"score_spread":0.2631730229230037,"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."}}