{"id":"W1983553101","doi":"10.1016/j.orl.2005.06.002","title":"The k-level facility location game","year":2005,"lang":"en","type":"article","venue":"Operations Research Letters","topic":"Game Theory and Voting Systems","field":"Economics, Econometrics and Finance","cited_by":42,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Facility location problem; Monotonic function; Scheme (mathematics); Computer science; Game theory; 1-center problem; Mathematical optimization; 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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.003980243,0.00006611567,0.00009948786,0.0001218305,0.0007752896,0.0003413753,0.0003033004,0.00003783305,0.0001811694],"category_scores_gemma":[0.0006387286,0.00005713094,0.00003763286,0.0003398686,0.0001847713,0.0002551961,0.00004407037,0.0002611227,0.005453194],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001542324,"about_ca_system_score_gemma":0.00002608431,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003241482,"about_ca_topic_score_gemma":0.0003624601,"domain_scores_codex":[0.9988586,0.0001565666,0.0003433336,0.0002372294,0.00008079036,0.0003235147],"domain_scores_gemma":[0.9992139,0.0001739936,0.00002641554,0.0004269963,0.0001017853,0.00005689914],"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":[0.00002274023,0.0001068041,0.003793443,0.00002219069,0.00005285641,0.000001282048,0.002639854,0.04978147,0.00236766,0.9053516,0.02641659,0.009443538],"study_design_scores_gemma":[0.0005053623,0.00005277164,0.01564816,0.0000187147,0.000001620928,0.000006113476,0.0004906657,0.05818542,0.000855396,0.003021027,0.920913,0.000301712],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8912769,0.00075902,0.02471985,0.07214715,0.0002842203,0.0005743509,0.0001292555,0.00005009192,0.01005917],"genre_scores_gemma":[0.9925522,0.00003073107,0.0002082286,0.0004361105,0.0002045824,0.00009178016,0.00001614257,0.000006785211,0.006453431],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.9023305,"threshold_uncertainty_score":0.9953212,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1621553426125074,"score_gpt":0.3297216512856123,"score_spread":0.1675663086731049,"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."}}