{"id":"W3214632958","doi":"10.3934/jdg.2021030","title":"Using chemical reaction network theory to show stability of distributional dynamics in game theory","year":2021,"lang":"en","type":"article","venue":"Journal of Dynamics and Games","topic":"Evolutionary Game Theory and Cooperation","field":"Social Sciences","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"Wilfrid Laurier University","funders":"European Commission","keywords":"Mathematical economics; Game theory; Replicator equation; Uniqueness; Stability (learning theory); Mathematics; Population; Extensive-form game; Prisoner's dilemma; Group (periodic table); Distribution (mathematics); Repeated game; Equilibrium selection; Computer science; Physics; Mathematical analysis","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":[0.002183239,0.0010054,0.0007293723,0.001732678,0.001204777,0.001430003,0.001063391,0.001427327,0.003365951],"category_scores_gemma":[0.009245308,0.0003937739,0.001497738,0.0008179356,0.003681011,0.004223111,0.002424152,0.002634143,0.0004428217],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001878352,"about_ca_system_score_gemma":0.0007533061,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002722939,"about_ca_topic_score_gemma":0.001194747,"domain_scores_codex":[0.9985273,0.0006647873,0.0000720966,0.0002850492,0.0003327814,0.0001179051],"domain_scores_gemma":[0.9959551,0.002994694,0.0003607793,0.0002102663,0.0003254837,0.0001537067],"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":[0.00001440073,0.00001686235,0.0004113648,0.00006211745,0.00003074697,0.0001062978,0.0001803823,0.09236644,0.001918569,0.8992368,0.0003548209,0.005301131],"study_design_scores_gemma":[0.000009150496,0.00002231636,0.0001185424,0.00001511539,0.000008560314,0.00007215141,0.00003230586,0.4095167,0.0008181579,0.5871365,0.002233632,0.0000168736],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.015695,0.0004575802,0.9691757,0.0006175695,0.00009703074,0.00005456736,0.00005211548,0.00007641217,0.01377405],"genre_scores_gemma":[0.7439508,0.001692789,0.2415891,0.00047821,0.0002409265,0.0006231595,0.0001508909,0.0001567018,0.01111747],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003365951,"threshold_uncertainty_score":0.01362848,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01773397562609479,"score_gpt":0.2923766503198325,"score_spread":0.2746426746937377,"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."}}