{"id":"W4225764471","doi":"10.1109/tac.2023.3291953","title":"Second-Order Mirror Descent: Convergence in Games Beyond Averaging and Discounting","year":2023,"lang":"en","type":"preprint","venue":"IEEE Transactions on Automatic Control","topic":"Complex Systems and Time Series Analysis","field":"Economics, Econometrics and Finance","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Regret; Convergence (economics); Discounting; Mathematics; Applied mathematics; Order (exchange); Exponential function; Mathematical optimization; Rate of convergence; Mathematical economics; Computer science; Mathematical analysis; Economics; Statistics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.002618113,0.001098094,0.001092905,0.0004107765,0.000476898,0.001364641,0.001507607,0.001247581,0.002323437],"category_scores_gemma":[0.009004441,0.0004852714,0.0008533656,0.0003344281,0.00170561,0.002258914,0.001902407,0.002297501,0.0003036394],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001280569,"about_ca_system_score_gemma":0.001389434,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001918729,"about_ca_topic_score_gemma":0.001294269,"domain_scores_codex":[0.9989918,0.000445574,0.00004565176,0.0001940361,0.0002319332,0.00009104609],"domain_scores_gemma":[0.9974443,0.001530387,0.0002589473,0.0002650441,0.0002795361,0.0002218158],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001242555,0.00007406651,0.0009098593,0.0001521691,0.00007246491,0.0001879902,0.0001678851,0.4999939,0.004388842,0.4731653,0.001272244,0.01949113],"study_design_scores_gemma":[0.000008160438,0.00004561953,0.00005989298,0.000006287637,0.000003908426,0.00002775847,0.000007126661,0.9518315,0.0004122033,0.04712055,0.0004691872,0.000007773404],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01713456,0.0001663317,0.979336,0.0003456475,0.0000491006,0.00003894317,0.0000346607,0.00008337713,0.002811477],"genre_scores_gemma":[0.8337764,0.0003870217,0.1582746,0.0003632667,0.00009520243,0.0001864581,0.00009130852,0.0001019349,0.00672366],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002618113,"threshold_uncertainty_score":0.0138461,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02694262816407171,"score_gpt":0.2311145857227958,"score_spread":0.2041719575587241,"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."}}