{"id":"W4249246040","doi":"10.1142/9789814417358_0004","title":"Using Tucker's theorem of the alternative to simplify, review and expand discrete arbitrage theory","year":2013,"lang":"en","type":"book-chapter","venue":"World Scientific handbook in financial economic series","topic":"Capital Investment and Risk Analysis","field":"Economics, Econometrics and Finance","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Arbitrage; Mathematical economics; Mathematics; Computer science; Economics; Financial 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":[0.001097142,0.0004275355,0.001303629,0.0006537805,0.0002683499,0.000210358,0.0005639654,0.0001419264,0.002181947],"category_scores_gemma":[0.00007098557,0.0003722416,0.0003692652,0.0001634803,0.001014271,0.0003662607,0.0003855946,0.0003313198,0.0003475302],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002656852,"about_ca_system_score_gemma":0.0001380461,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002369836,"about_ca_topic_score_gemma":0.002480441,"domain_scores_codex":[0.9973873,0.00003071126,0.001259382,0.0008974776,0.00006681657,0.0003583008],"domain_scores_gemma":[0.9980578,0.00007641704,0.0009456353,0.0007621218,0.00004151945,0.0001165465],"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":[0.00001735528,0.000008622589,0.0001639715,0.0001593717,0.00006687352,0.000001658658,0.0005488523,0.00005587131,0.00001203301,0.9955063,0.00322802,0.0002309953],"study_design_scores_gemma":[0.0002240582,0.00002922153,0.0002413647,0.001531277,0.0001062081,0.000003712646,0.00002801251,0.0001467188,0.0002641174,0.7845544,0.2122991,0.0005717882],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.03369579,0.4109063,0.0002058785,0.001423206,0.005391309,0.004097359,0.002992737,0.00004917086,0.5412382],"genre_scores_gemma":[0.01895379,0.0152956,0.0004955668,0.001378856,0.0003153659,0.000094567,0.00004805039,0.0001134329,0.9633048],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.4220666,"threshold_uncertainty_score":0.9998729,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03324877738878891,"score_gpt":0.235489229059875,"score_spread":0.2022404516710861,"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."}}