{"id":"https://openalex.org/W7165755701","doi":"https://doi.org/10.48550/arxiv.2606.23853","title":"The Measurable Majority","display_name":"The Measurable Majority","publication_year":2026,"publication_date":"2026-06-22","ids":{"openalex":"https://openalex.org/W7165755701","doi":"https://doi.org/10.48550/arxiv.2606.23853"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2606.23853","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.23853","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2606.23853","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5139251070","display_name":"Lawrence S. Moss","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Moss, Lawrence S.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5085007274","display_name":"Arthur Paul Pedersen","orcid":"https://orcid.org/0000-0002-2164-6404"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pedersen, Arthur Paul","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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":0.9761999845504761,"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":0.9761999845504761,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.011099999770522118,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.00279999990016222,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.7006999850273132},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5766000151634216},{"id":"https://openalex.org/keywords/voting","display_name":"Voting","score":0.5716999769210815},{"id":"https://openalex.org/keywords/coherence","display_name":"Coherence (philosophical gambling strategy)","score":0.5442000031471252},{"id":"https://openalex.org/keywords/majority-rule","display_name":"Majority rule","score":0.5425999760627747},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4763000011444092},{"id":"https://openalex.org/keywords/social-choice-theory","display_name":"Social choice theory","score":0.4268999993801117}],"concepts":[{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.7006999850273132},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6295999884605408},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5766000151634216},{"id":"https://openalex.org/C520049643","wikidata":"https://www.wikidata.org/wiki/Q189760","display_name":"Voting","level":3,"score":0.5716999769210815},{"id":"https://openalex.org/C2781181686","wikidata":"https://www.wikidata.org/wiki/Q4226068","display_name":"Coherence (philosophical gambling strategy)","level":2,"score":0.5442000031471252},{"id":"https://openalex.org/C153668964","wikidata":"https://www.wikidata.org/wiki/Q27636","display_name":"Majority rule","level":2,"score":0.5425999760627747},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4763000011444092},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.446399986743927},{"id":"https://openalex.org/C189352744","wikidata":"https://www.wikidata.org/wiki/Q1971461","display_name":"Social choice theory","level":2,"score":0.4268999993801117},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4214000105857849},{"id":"https://openalex.org/C2776608160","wikidata":"https://www.wikidata.org/wiki/Q4785462","display_name":"Natural (archaeology)","level":2,"score":0.3508000075817108},{"id":"https://openalex.org/C2776230367","wikidata":"https://www.wikidata.org/wiki/Q7314222","display_name":"Representation theorem","level":2,"score":0.3312999904155731},{"id":"https://openalex.org/C115988155","wikidata":"https://www.wikidata.org/wiki/Q3262192","display_name":"Decision problem","level":2,"score":0.3050000071525574},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.3005000054836273},{"id":"https://openalex.org/C136979486","wikidata":"https://www.wikidata.org/wiki/Q773483","display_name":"Existential quantification","level":2,"score":0.2888999879360199},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2827000021934509},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.2824999988079071},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.2736000120639801},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25999999046325684}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2606.23853","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.23853","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2606.23853","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.23853","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.7994660139083862,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1,105],"studies":[2],"strict":[3,33,54,69,131],"majority":[4,40,132],"reasoning":[5,67],"in":[6,88],"finite":[7,14,89],"electorates":[8],"using":[9],"so-called":[10],"$\\textit{social":[11],"decision":[12,136],"frames}$:":[13],"sets":[15],"of":[16,22,53,82,91,103],"voters":[17],"equipped":[18],"with":[19],"distinguished":[20],"families":[21,90],"coalitions":[23],"interpreted":[24],"as":[25],"those":[26],"voting":[27],"blocs":[28],"evaluated":[29],"to":[30,46,73,108,120,124],"form":[31],"a":[32,62,96,110,126],"majority.":[34],"A":[35],"coherence":[36],"criterion":[37],"for":[38,51,66,114,129,134],"qualitative":[39,116],"judgments":[41],"is":[42,71],"identified":[43],"and":[44,76,95,123],"shown":[45,72],"give":[47],"an":[48],"exact":[49],"characterization":[50,128],"representability":[52],"majorities":[55,70],"by":[56],"finitely":[57],"additive":[58],"measures.":[59],"In":[60],"addition,":[61],"minimal":[63],"natural":[64],"logic":[65],"about":[68],"be":[74],"sound":[75],"complete.":[77],"These":[78],"developments":[79],"motivate":[80],"examination":[81],"associated":[83],"combinatorial":[84],"questions":[85],"concerning":[86],"incoherence":[87],"sets;":[92],"partial":[93],"results":[94,102],"conjecture":[97],"are":[98,106],"given.":[99],"Finally,":[100],"the":[101],"this":[104],"applied":[107],"correct":[109],"classical":[111],"representation":[112],"theorem":[113],"weak":[115],"probability":[117],"structures":[118],"due":[119],"Patrick":[121],"Suppes":[122],"establish":[125],"May-type":[127],"ordinary":[130],"rule":[133],"social":[135],"frames.":[137]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-06-25T00:00:00"}