{"id":"W4286763860","doi":"10.48550/arxiv.2207.10611","title":"Incentive Designs for Stackelberg Games with a Large Number of Followers\\n and their Mean-Field Limits","year":2022,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Royal Military College of Canada","funders":"","keywords":"Stackelberg competition; Incentive; Field (mathematics); Mathematical economics; Microeconomics; Economics; Mathematics; Pure mathematics","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":[0.005082759,0.001461969,0.001417364,0.001501411,0.001114899,0.00229623,0.002137904,0.00234125,0.004168211],"category_scores_gemma":[0.01756506,0.0008387575,0.001529941,0.0006161542,0.003260577,0.003787544,0.001958908,0.002357473,0.0004671051],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002854859,"about_ca_system_score_gemma":0.001650843,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0014407,"about_ca_topic_score_gemma":0.001091623,"domain_scores_codex":[0.9981322,0.0007666629,0.00008596988,0.0003428251,0.0003726979,0.0002996889],"domain_scores_gemma":[0.991147,0.005275254,0.001686806,0.0003520273,0.0006132447,0.0009257855],"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":[0.00008989011,0.0001317945,0.0008071606,0.0001159574,0.00006117189,0.0001587818,0.0002816015,0.1279455,0.003114526,0.8588557,0.001102512,0.007335435],"study_design_scores_gemma":[0.00005904023,0.0001212574,0.0002646048,0.00002980372,0.00002114773,0.00006131782,0.00007583158,0.6889785,0.0006687727,0.3087263,0.0009584798,0.00003496811],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1920404,0.0005648936,0.7864293,0.001231142,0.0001017927,0.000222942,0.0001599895,0.0001887687,0.01906079],"genre_scores_gemma":[0.9175543,0.0007228501,0.06708463,0.0003067841,0.0001171758,0.0006636916,0.0001041642,0.00006042804,0.01338601],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005082759,"threshold_uncertainty_score":0.0268805,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1156377117631378,"score_gpt":0.2572414412536693,"score_spread":0.1416037294905315,"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."}}