{"id":"W1982865661","doi":"10.1016/j.mathsocsci.2012.04.003","title":"Product filters, acyclicity and Suzumura consistency","year":2012,"lang":"en","type":"article","venue":"Mathematical Social Sciences","topic":"Game Theory and Voting Systems","field":"Economics, Econometrics and Finance","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Transitive relation; Ultrafilter; Product (mathematics); Mathematical economics; Consistency (knowledge bases); Coherence (philosophical gambling strategy); Relation (database); Filter (signal processing); Property (philosophy); Set (abstract data type); Mathematics; Economics; Discrete mathematics; Combinatorics; Computer science; Epistemology; Statistics; Philosophy","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":[0.007256056,0.000504705,0.002686976,0.00380222,0.00285253,0.004395795,0.001801598,0.002835222,0.008742433],"category_scores_gemma":[0.04210663,0.001092299,0.002161634,0.003284449,0.004324949,0.008635564,0.001704899,0.00255266,0.000697934],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001633983,"about_ca_system_score_gemma":0.001932901,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003637122,"about_ca_topic_score_gemma":0.004418727,"domain_scores_codex":[0.996861,0.001185203,0.0002170157,0.0009891362,0.0003443316,0.000403303],"domain_scores_gemma":[0.9504179,0.03760947,0.004031882,0.004257639,0.002423737,0.001259401],"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":[0.0001076407,0.00004886165,0.001974055,0.00006686797,0.00006421695,0.0000590423,0.0002328,0.006586692,0.0005123373,0.9791656,0.001557285,0.009624701],"study_design_scores_gemma":[0.00004063319,0.00002337695,0.001194671,0.0000202043,0.00003668543,0.00006407243,0.00005395455,0.03754563,0.0003319892,0.958948,0.001708782,0.00003218856],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2567333,0.001210996,0.7232274,0.00302374,0.0001750076,0.0001157729,0.0006887942,0.0003940398,0.01443107],"genre_scores_gemma":[0.8679298,0.001147036,0.1120998,0.0008802847,0.0005788535,0.0003171819,0.0008213221,0.0002591863,0.01596652],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008742433,"threshold_uncertainty_score":0.03837419,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1048564263860787,"score_gpt":0.285984099229812,"score_spread":0.1811276728437333,"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."}}