{"id":"W2001647405","doi":"10.1145/1807406.1807447","title":"Symmetric games with piecewise linear utilities","year":2010,"lang":"en","type":"article","venue":"","topic":"Game Theory and Applications","field":"Decision Sciences","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Representation (politics); Nash equilibrium; Mathematics; Computational complexity theory; Piecewise; Piecewise linear function; Time complexity; Polynomial; Focus (optics); Discrete mathematics; Mathematical optimization; Algorithm","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":["insufficient_payload"],"category_scores_codex":[0.001011408,0.00007950328,0.0001216406,0.0002057552,0.0001208606,0.0001196863,0.0005352697,0.00004139118,0.004365828],"category_scores_gemma":[0.0009256635,0.00004302328,0.00004087633,0.001103604,0.0002133635,0.000173214,0.00005549519,0.0001546525,0.002485598],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000002306635,"about_ca_system_score_gemma":0.0000368315,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001679823,"about_ca_topic_score_gemma":0.00007499991,"domain_scores_codex":[0.9988361,0.00003633444,0.0002138203,0.0002634536,0.0004978612,0.0001524152],"domain_scores_gemma":[0.9978599,0.001090506,0.0000614706,0.0006957164,0.0001931512,0.00009925247],"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":[0.00002189137,0.00008232452,0.005561173,0.000001147391,0.000006862622,0.000001484988,0.0002606568,0.00001211049,0.002009711,0.9105675,0.005626818,0.07584827],"study_design_scores_gemma":[0.000400903,0.0001217498,0.03174125,0.000003725536,0.0000147692,0.00003398032,0.003068413,0.001591903,0.01926574,0.4169248,0.5265281,0.0003047224],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7682125,0.00001580715,0.008026401,0.001071623,0.00009617511,0.00009924178,0.000006880423,0.00008232691,0.222389],"genre_scores_gemma":[0.948724,0.000001560109,0.005260864,0.0002389494,0.00006893656,0.0000163715,9.129535e-7,0.000005281191,0.04568317],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5209013,"threshold_uncertainty_score":0.9982911,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07662254952079682,"score_gpt":0.3726518853322362,"score_spread":0.2960293358114394,"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."}}