{"id":"W4413477157","doi":"10.1007/978-3-031-84869-8_32","title":"Algebraic Structure and Complexity of Games","year":2025,"lang":"en","type":"book-chapter","venue":"Springer proceedings in mathematics & statistics","topic":"Game Theory and Applications","field":"Decision Sciences","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Algebraic number; Algebraic structure; Computer science; Algebra over a field; Pure mathematics; 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":[0.0005617922,0.0006528128,0.0008256292,0.001362512,0.0008503177,0.004347009,0.0006817206,0.0008176356,0.007921639],"category_scores_gemma":[0.003297915,0.0004282033,0.0005986086,0.001850431,0.003366126,0.005799837,0.001219081,0.003252125,0.0009569406],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00212381,"about_ca_system_score_gemma":0.0008211233,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009989762,"about_ca_topic_score_gemma":0.0007642537,"domain_scores_codex":[0.9993538,0.0001994816,0.00003100533,0.00008823336,0.0002683381,0.00005919089],"domain_scores_gemma":[0.9981797,0.001296918,0.0001193496,0.0001569614,0.0001563945,0.00009070258],"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":[0.000003543735,0.000005227047,0.00004353802,0.00002551579,0.000003639402,0.000006619287,0.00005598166,0.001005599,0.00007660563,0.9914452,0.00233,0.004998614],"study_design_scores_gemma":[0.000001762438,0.000002086377,0.00006004544,0.000006280366,0.000001273877,0.00001360678,0.00001388259,0.001162919,0.00002102296,0.994052,0.004662818,0.000002339166],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.06299061,0.03460709,0.2941048,0.018136,0.001108292,0.00009788341,0.001002523,0.0002832734,0.5876695],"genre_scores_gemma":[0.8439853,0.02320573,0.05421626,0.001112102,0.003497729,0.0002669142,0.0009306885,0.0001372722,0.07264802],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007921639,"threshold_uncertainty_score":0.02650052,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08452569229232898,"score_gpt":0.3432818468337452,"score_spread":0.2587561545414163,"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."}}