{"id":"W1892095999","doi":"10.1287/opre.1110.0964","title":"Rational Generating Functions and Integer Programming Games","year":2011,"lang":"en","type":"article","venue":"Operations Research","topic":"Game Theory and Applications","field":"Decision Sciences","cited_by":29,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Integer programming; Nash equilibrium; Integer (computer science); Dimension (graph theory); Class (philosophy); Price of anarchy; Stochastic game; Game theory; Action (physics)","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00191629,0.001409762,0.001053364,0.00147828,0.0007360627,0.002914877,0.001514039,0.0009512216,0.004764348],"category_scores_gemma":[0.01255235,0.0004643916,0.001106776,0.001786537,0.002472653,0.005149791,0.00137624,0.002432998,0.0006324535],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001963294,"about_ca_system_score_gemma":0.0009852678,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001873726,"about_ca_topic_score_gemma":0.001509948,"domain_scores_codex":[0.9984805,0.0006962162,0.00006260653,0.0002475093,0.000272677,0.0002404831],"domain_scores_gemma":[0.9913488,0.007370472,0.0005264716,0.0003949178,0.0002144763,0.0001448848],"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":[0.00006723315,0.00008142221,0.0005447078,0.00009109163,0.0000218086,0.00006947567,0.0001493754,0.1847027,0.0003904114,0.7875135,0.001431986,0.02493631],"study_design_scores_gemma":[0.0000163503,0.00001923177,0.00005863778,0.00001342671,0.00000645462,0.00002485019,0.00003774331,0.377603,0.0003311724,0.6209815,0.0008978124,0.000009867261],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.09046711,0.0005838565,0.8956192,0.001285498,0.00006889692,0.0001083235,0.0003014521,0.000369828,0.01119594],"genre_scores_gemma":[0.7028693,0.00100142,0.2884731,0.0002819138,0.0001844879,0.0004153025,0.0008621516,0.0001634684,0.005748776],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.004764348,"threshold_uncertainty_score":0.01593834,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.4787675912690242,"score_gpt":0.5057032951195757,"score_spread":0.02693570385055144,"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."}}