{"id":"W1964249253","doi":"10.1007/s00355-011-0645-z","title":"Generalized average rules as stable Nash mechanisms to implement generalized median rules","year":2012,"lang":"en","type":"article","venue":"Social Choice and Welfare","topic":"Game Theory and Voting Systems","field":"Economics, Econometrics and Finance","cited_by":24,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Japan Society for the Promotion of Science; Waseda University; Lunds Universitet; Concordia University","keywords":"Nash equilibrium; Mathematical economics; Best response; Outcome (game theory); Epsilon-equilibrium; Interpretation (philosophy); Class (philosophy); Path (computing); Mathematics; Set (abstract data type); Mathematical optimization; Computer science; Artificial intelligence","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0009953765,0.0002406469,0.0005184969,0.0001390288,0.0006517708,0.000136087,0.0001753005,0.0001610636,0.001744827],"category_scores_gemma":[0.00008573776,0.0002631108,0.0001348262,0.0001345608,0.00002787125,0.0002591625,0.0001171061,0.0001263289,0.0007414027],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000903338,"about_ca_system_score_gemma":0.00001241083,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002215724,"about_ca_topic_score_gemma":0.0001298729,"domain_scores_codex":[0.9983011,0.00007789745,0.0005177439,0.0003567866,0.00007994061,0.0006664662],"domain_scores_gemma":[0.9992254,0.00003899272,0.0002271788,0.0002011237,0.00003341468,0.0002739129],"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":[0.00001636362,0.00004721308,0.005145843,0.00004574574,0.00007344096,0.000001717476,0.003337505,0.000002700182,0.0001807189,0.9892288,0.001271439,0.000648526],"study_design_scores_gemma":[0.002339372,0.0001270378,0.02903099,0.00002672181,0.00003717608,0.00001145119,0.00168198,0.00004314752,0.0007873285,0.2009437,0.7639641,0.001007009],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.982616,0.001172094,0.0007154809,0.003594503,0.0009956005,0.0004004015,0.0006394118,0.00009037559,0.009776144],"genre_scores_gemma":[0.9947956,0.00005070966,0.0007601225,0.001052757,0.001186537,0.00008401157,0.000116328,0.00004409971,0.001909885],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7882851,"threshold_uncertainty_score":0.9999821,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03412768288190568,"score_gpt":0.2646568772223437,"score_spread":0.230529194340438,"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."}}