{"id":"https://openalex.org/W7203697713","doi":"https://doi.org/10.48550/arxiv.2608.16869","title":"The New Mathematics of Democracy","display_name":"The New Mathematics of Democracy","publication_year":2026,"publication_date":"2026-08-17","ids":{"openalex":"https://openalex.org/W7203697713","doi":"https://doi.org/10.48550/arxiv.2608.16869"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.16869","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.16869","pdf_url":"https://arxiv.org/pdf/2608.16869","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2608.16869","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058074172","display_name":"Bailey Flanigan","orcid":"https://orcid.org/0000-0002-7805-1989","observed_orcids":["https://orcid.org/0000-0002-7805-1989"]},"institutions":[{"id":"https://openalex.org/I189731429","display_name":"Wellesley College","ror":"https://ror.org/01srpnj69","country_code":"US","type":"education","lineage":["https://openalex.org/I189731429"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Flanigan, Bailey","raw_affiliation_strings":["Department of Mathematics & Statistics and Institute for Mathematics and Democracy , Wellesley College , Wellesley , MA 02481","Department of Political Science and Computer Science (LIDS) , MIT , Cambridge , MA 02139"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics & Statistics and Institute for Mathematics and Democracy , Wellesley College , Wellesley , MA 02481","institution_ids":["https://openalex.org/I189731429"]},{"raw_affiliation_string":"Department of Political Science and Computer Science (LIDS) , MIT , Cambridge , MA 02139","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045989358","display_name":"Ismar Voli\u0107","orcid":"https://orcid.org/0000-0002-5158-3416","observed_orcids":["https://orcid.org/0000-0002-5158-3416"]},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Volic, Ismar","raw_affiliation_strings":["Department of Political Science and Computer Science (LIDS) , MIT , Cambridge , MA 02139"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Political Science and Computer Science (LIDS) , MIT , Cambridge , MA 02139","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13291","display_name":"Political Theory and Democracy","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/3320","display_name":"Political Science and International Relations"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/voting-theory","display_name":"voting theory","score":0.9950000047683716},{"id":"https://openalex.org/keywords/participatory-budgeting","display_name":"participatory budgeting","score":1.0},{"id":"https://openalex.org/keywords/deliberative-democracy","display_name":"deliberative democracy","score":0.9980000257492065},{"id":"https://openalex.org/keywords/social-choice-theory","display_name":"social choice","score":0.5580000281333923},{"id":"https://openalex.org/keywords/institutional-constraints","display_name":"institutional constraints","score":0.5120000243186951},{"id":"https://openalex.org/keywords/implementation-feasibility","display_name":"implementation feasibility","score":0.6970000267028809},{"id":"https://openalex.org/keywords/real-world-data","display_name":"real-world data","score":0.546999990940094}],"concepts":[{"id":"https://openalex.org/C555826173","wikidata":"https://www.wikidata.org/wiki/Q7174","display_name":"Democracy","level":3,"score":0.6549000144004822},{"id":"https://openalex.org/C520049643","wikidata":"https://www.wikidata.org/wiki/Q189760","display_name":"Voting","level":3,"score":0.6263999938964844},{"id":"https://openalex.org/C2776946740","wikidata":"https://www.wikidata.org/wiki/Q358652","display_name":"Deliberation","level":3,"score":0.5491999983787537},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.46959999203681946},{"id":"https://openalex.org/C203663800","wikidata":"https://www.wikidata.org/wiki/Q848979","display_name":"Citizen journalism","level":2,"score":0.45719999074935913},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.4307999908924103},{"id":"https://openalex.org/C2991749311","wikidata":"https://www.wikidata.org/wiki/Q310988","display_name":"Participatory democracy","level":4,"score":0.3695000112056732},{"id":"https://openalex.org/C539667460","wikidata":"https://www.wikidata.org/wiki/Q2414942","display_name":"Management science","level":1,"score":0.35530000925064087},{"id":"https://openalex.org/C2992346504","wikidata":"https://www.wikidata.org/wiki/Q7174","display_name":"Democratic theory","level":4,"score":0.34139999747276306},{"id":"https://openalex.org/C55587333","wikidata":"https://www.wikidata.org/wiki/Q1133029","display_name":"Engineering ethics","level":1,"score":0.3409999907016754},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.3407999873161316},{"id":"https://openalex.org/C2781093426","wikidata":"https://www.wikidata.org/wiki/Q284289","display_name":"Deliberative democracy","level":4,"score":0.33250001072883606},{"id":"https://openalex.org/C140988679","wikidata":"https://www.wikidata.org/wiki/Q7140444","display_name":"Participatory action research","level":2,"score":0.31439998745918274},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3125999867916107},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28690001368522644},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.2838999927043915}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.16869","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.16869","pdf_url":"https://arxiv.org/pdf/2608.16869","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2608.16869","doi":"https://doi.org/10.48550/arxiv.2608.16869","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.16869","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.16869","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.16869","pdf_url":"https://arxiv.org/pdf/2608.16869","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"score":0.6601999998092651,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, justice, and strong institutions"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7203697713.pdf","grobid_xml":"https://content.openalex.org/works/W7203697713.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W4393335740","https://openalex.org/W4398298276","https://openalex.org/W4402101012","https://openalex.org/W4407719551","https://openalex.org/W4416176279","https://openalex.org/W4416434616","https://openalex.org/W6910869534","https://openalex.org/W7133969878","https://openalex.org/W7161113252","https://openalex.org/W7171701382"],"related_works":["https://openalex.org/W2978764856","https://openalex.org/W4410055700","https://openalex.org/W3197977159","https://openalex.org/W7139170707","https://openalex.org/W3037489630","https://openalex.org/W2477654000","https://openalex.org/W7030635860","https://openalex.org/W1508658710","https://openalex.org/W1638723363","https://openalex.org/W2765574535"],"abstract_inverted_index":{"This":[0],"article":[1],"surveys":[2],"emerging":[3],"directions":[4],"in":[5],"the":[6],"mathematics":[7],"of":[8,53],"democracy.":[9],"It":[10],"uses":[11],"three":[12],"case":[13],"studies":[14],"---":[15,23],"voting":[16],"theory,":[17],"participatory":[18],"budgeting,":[19],"and":[20,39,48,58],"deliberative":[21],"democracy":[22],"to":[24],"highlight":[25,46],"how":[26],"contemporary":[27],"challenges":[28],"motivate":[29],"rigorous":[30],"mathematical":[31],"research":[32,50],"that":[33],"incorporates":[34],"real-world":[35,54],"data,":[36],"institutional":[37],"constraints,":[38],"implementation":[40],"feasibility.":[41],"Within":[42],"each":[43],"case,":[44],"we":[45],"active":[47],"promising":[49],"frontiers,":[51],"evidence":[52],"impact,":[55],"practical":[56],"applications,":[57],"opportunities":[59],"for":[60],"getting":[61],"involved.":[62]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-08-19T00:00:00"}
