{"id":"W3121870614","doi":"","title":"Monotonicity and Bounds for Cost Shares under the Path Serial Rule","year":2002,"lang":"en","type":"article","venue":"Cahiers de recherche","topic":"Economic theories and models","field":"Economics, Econometrics and Finance","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université Laval","funders":"","keywords":"Path (computing); Monotonic function; Function (biology); Cost sharing; Mathematical optimization; Computer science; 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":[],"consensus_categories":[],"category_scores_codex":[0.001899745,0.0001202238,0.0002292481,0.00003779084,0.0002109538,0.0001286516,0.0001972717,0.0003702122,0.0002731356],"category_scores_gemma":[0.0002963107,0.0001007264,0.00009175949,0.00006586991,0.0001783324,0.0001242947,0.00003346767,0.0003724746,0.00005097644],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004605737,"about_ca_system_score_gemma":0.0000189892,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006345689,"about_ca_topic_score_gemma":0.00001656768,"domain_scores_codex":[0.9990907,0.00005903034,0.0002590641,0.0002780017,0.00001062126,0.0003026118],"domain_scores_gemma":[0.9990348,0.0004829565,0.0001204478,0.0002613487,0.0000158963,0.00008458509],"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":[0.00003718369,0.00003210823,0.0004985133,0.00002285979,0.000068095,4.846938e-7,0.002302937,0.0001665342,0.00003751219,0.9847792,0.004029582,0.008024961],"study_design_scores_gemma":[0.0008683963,0.00005688914,0.0005451748,0.000006941981,0.0000123009,0.00000717656,0.0006653719,0.02039173,0.0001984268,0.7696133,0.2073721,0.0002622455],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8549796,0.00768757,0.06896538,0.006501491,0.0007966626,0.00110703,0.0007255417,0.00008493943,0.05915179],"genre_scores_gemma":[0.9659243,0.003647447,0.006587042,0.002705644,0.0003939131,0.0002778557,0.00001917997,0.0000617297,0.02038292],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2151659,"threshold_uncertainty_score":0.4107502,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1967193179656436,"score_gpt":0.2992252874763236,"score_spread":0.10250596951068,"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."}}