{"id":"W4407780548","doi":"10.1561/2400000040","title":"Integer Programming Games","year":2025,"lang":"en","type":"article","venue":"Foundations and Trends® in Optimization","topic":"Game Theory and Voting Systems","field":"Economics, Econometrics and Finance","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Integer programming; Computer science; Mathematics; Mathematical economics; Mathematical optimization","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":[0.0002958573,0.00006797961,0.0001369892,0.0005412607,0.00009519442,0.0001150745,0.00005131961,0.00004936559,0.0002520293],"category_scores_gemma":[0.00006353389,0.00007845883,0.00002551285,0.0005724016,0.00003382648,0.0001826655,0.00001961145,0.00006051036,0.00001972107],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003659603,"about_ca_system_score_gemma":0.000005220882,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008643144,"about_ca_topic_score_gemma":0.0000447141,"domain_scores_codex":[0.9993632,0.0000155592,0.0003116662,0.0001907662,0.00001100402,0.0001078327],"domain_scores_gemma":[0.999726,0.00003271714,0.00009604252,0.0001115326,0.00001727954,0.00001644958],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000006098872,0.00006326602,0.03146994,0.00001911721,0.00001841119,3.643659e-7,0.0003993446,0.0297478,4.548673e-7,0.9069856,0.0001429261,0.03114666],"study_design_scores_gemma":[0.002303991,0.00010028,0.0590848,0.0002499938,0.00002559168,0.000006687784,0.0008292329,0.6816505,0.00001520257,0.09741029,0.1576683,0.0006551191],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03799195,0.001388319,0.7447245,0.002054918,0.001003959,0.0002974123,0.00003052336,0.0001417112,0.2123667],"genre_scores_gemma":[0.9872628,0.0000380102,0.005851535,0.00004540616,0.00002210807,0.00003565391,0.00007304647,0.000006458394,0.006665018],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9492708,"threshold_uncertainty_score":0.3199458,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02348981713826095,"score_gpt":0.2615163708784337,"score_spread":0.2380265537401728,"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."}}