{"id":"W2041674345","doi":"10.1007/s11083-011-9198-0","title":"Lattices of Games","year":2011,"lang":"en","type":"article","venue":"Order","topic":"Artificial Intelligence in Games","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Distributive lattice; Mathematics; Distributive property; Lattice (music); Combinatorial game theory; Combinatorics; Complete lattice; Congruence lattice problem; Set (abstract data type); Map of lattices; Partially ordered set; Discrete mathematics; Algebra over a field; Mathematical economics; Game theory; Pure mathematics; Sequential game; Computer science; Universality (dynamical systems)","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":[0.00008712395,0.00004493773,0.00006555993,0.00003622208,0.00001841094,0.00001309145,0.0004966007,0.0000238758,0.0003469932],"category_scores_gemma":[0.00004531469,0.00003781791,0.00002108038,0.0001962685,0.0000617702,0.0002291819,0.0001001937,0.0000340692,0.000272215],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000002897622,"about_ca_system_score_gemma":0.0000209894,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007641377,"about_ca_topic_score_gemma":0.00001452233,"domain_scores_codex":[0.9995449,0.00001493939,0.0001180237,0.0001204024,0.0000967426,0.000104997],"domain_scores_gemma":[0.9995121,0.00003314979,0.00004989604,0.0002969548,0.00008341025,0.00002452363],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.000007141858,0.0001917389,0.01996425,0.00001953375,0.000028444,0.00001100042,0.01614445,0.00002412393,0.00216231,0.5952669,0.001735007,0.3644451],"study_design_scores_gemma":[0.0001112013,0.0002939429,0.0283197,0.00005473363,0.00001548024,0.00001221181,0.0007540675,0.02218007,0.7263276,0.1840956,0.03731728,0.0005181343],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2027669,0.0002673879,0.6434125,0.0003857657,0.0005937319,0.0001022594,6.773657e-7,0.0001681438,0.1523027],"genre_scores_gemma":[0.9192606,0.000007840383,0.07994282,0.00009846815,0.00001564123,0.000002421465,6.313161e-8,0.000003130801,0.0006689632],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7241653,"threshold_uncertainty_score":0.3799332,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06924299315783805,"score_gpt":0.2901136555825268,"score_spread":0.2208706624246887,"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."}}