{"id":"W3039532024","doi":"10.1007/978-3-030-63591-6_5","title":"Spatial Iterated Prisoner’s Dilemma as a Transformation Semigroup","year":2021,"lang":"en","type":"book-chapter","venue":"Springer proceedings in mathematics & statistics","topic":"Evolutionary Game Theory and Cooperation","field":"Social Sciences","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Iterated function; Mathematics; Prisoner's dilemma; Algebraic number; Normal-form game; Algebraic structure; Discrete mathematics; Game theory; Repeated game; Algebra over a field; Pure mathematics; Mathematical economics","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","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001108681,0.0004183722,0.0005443711,0.0002482277,0.0004047653,0.0003513308,0.0003256971,0.0005268239,0.001476939],"category_scores_gemma":[0.0005829197,0.0004749779,0.00009249493,0.0001316598,0.0002648153,0.0004180395,0.00006746181,0.000677769,0.0002325502],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004417606,"about_ca_system_score_gemma":0.0004531176,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001989564,"about_ca_topic_score_gemma":0.000872988,"domain_scores_codex":[0.9972657,0.00003077636,0.0009250172,0.0004316235,0.0009049647,0.000441938],"domain_scores_gemma":[0.9982344,0.00020253,0.0004679911,0.0001598338,0.0007911529,0.0001440955],"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":[0.00001984499,0.00007871065,0.00001406787,0.000437779,0.00003760981,0.00002588431,0.02735788,0.000008316829,0.00007038839,0.96814,0.0005278668,0.003281625],"study_design_scores_gemma":[0.0004703525,0.0001112044,0.00003156172,0.001509528,0.0001596094,0.00001705324,0.002798655,0.002362886,0.0001084979,0.7845796,0.2069283,0.0009227734],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.002350077,0.0002485729,0.03735205,0.0003197703,0.0004336671,0.00119622,0.0001981001,0.000203347,0.9576982],"genre_scores_gemma":[0.07487159,0.003452962,0.1004858,0.0003142475,0.001520917,0.0002233866,0.0007877108,0.000327098,0.8180162],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.2064004,"threshold_uncertainty_score":0.9997702,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01919628915066557,"score_gpt":0.2769562739486759,"score_spread":0.2577599847980103,"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."}}