{"id":"W64006730","doi":"","title":"Approximating Games and Economies by Markets","year":2001,"lang":"en","type":"article","venue":"","topic":"Game Theory and Voting Systems","field":"Economics, Econometrics and Finance","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematical economics; Equivalence (formal languages); Mathematics; Closeness; Combinatorics; Economics; Economy; Discrete mathematics","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":[0.0007023223,0.00009085676,0.000230759,0.00006179143,0.00007325517,0.00008291396,0.00008237037,0.00004852584,0.0007301293],"category_scores_gemma":[0.00006933527,0.00009753575,0.00003197948,0.00005224353,0.00003950655,0.0001598259,0.0000315993,0.00005353631,0.0003372467],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001560788,"about_ca_system_score_gemma":0.000001784064,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006179635,"about_ca_topic_score_gemma":0.000003936446,"domain_scores_codex":[0.9992012,0.00001292949,0.0003662611,0.0002337525,0.000007652067,0.0001782531],"domain_scores_gemma":[0.9995779,0.00007211998,0.0001543711,0.0001413351,0.000004930098,0.00004931894],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00001710051,0.00003976838,0.2536248,0.00005076563,0.00004369571,0.000001745426,0.0005000234,0.000004228271,0.00004977118,0.7322229,0.00766445,0.005780749],"study_design_scores_gemma":[0.001708491,0.0001197463,0.03878926,0.00006445519,0.000008672409,0.0001200985,0.001662585,0.01581241,0.0005077804,0.2657968,0.6742511,0.001158558],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6806615,0.001422773,0.002044665,0.0002913152,0.0001167659,0.00007879797,0.00001440045,0.00005438011,0.3153154],"genre_scores_gemma":[0.9780425,0.0001136626,0.0005525287,0.0001804478,0.00005241489,0.000009794978,0.000003199372,0.00001191982,0.02103351],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6665866,"threshold_uncertainty_score":0.7994404,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01843932435597097,"score_gpt":0.1932771938395245,"score_spread":0.1748378694835535,"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."}}