{"id":"W1988769349","doi":"10.1073/pnas.1400823111","title":"The replicator equation and other game dynamics","year":2014,"lang":"en","type":"article","venue":"Proceedings of the National Academy of Sciences","topic":"Evolutionary Game Theory and Cooperation","field":"Social Sciences","cited_by":309,"is_retracted":false,"has_abstract":true,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Replicator equation; Nash equilibrium; Evolutionary game theory; Mathematical economics; Best response; Dynamics (music); Game theory; Convergence (economics); Evolutionary dynamics; Normal-form game; Stability (learning theory); Mathematics; Computer science; Population; Applied mathematics; Repeated game; Economics; Physics; Sociology","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":[],"consensus_categories":[],"category_scores_codex":[0.004441453,0.00004163516,0.00005554705,0.00003782156,0.0008392725,0.00004340978,0.0004414729,0.00005048064,0.000006875071],"category_scores_gemma":[0.001501064,0.00002435517,0.00002551356,0.000384242,0.001780746,0.0003125422,0.00004874974,0.00007234894,0.000001317453],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000351539,"about_ca_system_score_gemma":0.00003147754,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002339593,"about_ca_topic_score_gemma":0.000003126619,"domain_scores_codex":[0.9988731,0.00003235163,0.0001705563,0.0001271791,0.0006978128,0.0000989593],"domain_scores_gemma":[0.9992257,0.0003219727,0.0002334924,0.000006737574,0.000189886,0.00002223875],"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":[0.00000575721,0.000006872785,0.00361929,0.00000367297,0.000002275493,6.605577e-11,0.0005420913,0.00002174004,0.002802477,0.9913493,0.000111123,0.001535398],"study_design_scores_gemma":[0.00009636078,0.00003731385,0.02989928,0.00003262302,0.000007977576,0.000001128906,0.001549973,0.01461023,0.004387298,0.9376834,0.01161878,0.00007563132],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8918841,0.0001305405,0.00004063439,0.02322844,0.0000344531,0.0002326635,0.00000539895,0.00001984312,0.08442397],"genre_scores_gemma":[0.9986814,0.00003623593,0.0001859388,0.0003344382,0.0001030008,0.000007342557,3.696344e-8,0.000001696178,0.0006498739],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1067974,"threshold_uncertainty_score":0.6561234,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03942784600199307,"score_gpt":0.3236583490827857,"score_spread":0.2842305030807926,"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."}}