{"id":"https://openalex.org/W4387724833","doi":"https://doi.org/10.48550/arxiv.2310.10215","title":"An Adaptive and Verifiably Proportional Method for Participatory Budgeting","display_name":"An Adaptive and Verifiably Proportional Method for Participatory Budgeting","publication_year":2023,"publication_date":"2023-10-16","ids":{"openalex":"https://openalex.org/W4387724833","doi":"https://doi.org/10.48550/arxiv.2310.10215"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2310.10215","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2310.10215","pdf_url":"https://arxiv.org/pdf/2310.10215","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2310.10215","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024658210","display_name":"Sonja Kraiczy","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Kraiczy, Sonja","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5050150656","display_name":"Edith Elkind","orcid":"https://orcid.org/0000-0001-6718-3436"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Elkind, Edith","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5024658210"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"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":0.9959999918937683,"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":0.9959999918937683,"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/T11598","display_name":"Internet Traffic Analysis and Secure E-voting","score":0.9632999897003174,"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/T11182","display_name":"Auction Theory and Applications","score":0.9279000163078308,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/outcome","display_name":"Outcome (game theory)","score":0.6246005892753601},{"id":"https://openalex.org/keywords/budget-constraint","display_name":"Budget constraint","score":0.593143105506897},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5180749893188477},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.49651461839675903},{"id":"https://openalex.org/keywords/participatory-budgeting","display_name":"Participatory budgeting","score":0.4829356372356415},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.33942553400993347},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3316310942173004},{"id":"https://openalex.org/keywords/democracy","display_name":"Democracy","score":0.1593935191631317},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.15135899186134338},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.11005479097366333}],"concepts":[{"id":"https://openalex.org/C148220186","wikidata":"https://www.wikidata.org/wiki/Q7111912","display_name":"Outcome (game theory)","level":2,"score":0.6246005892753601},{"id":"https://openalex.org/C8505890","wikidata":"https://www.wikidata.org/wiki/Q605095","display_name":"Budget constraint","level":2,"score":0.593143105506897},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5180749893188477},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49651461839675903},{"id":"https://openalex.org/C2777305734","wikidata":"https://www.wikidata.org/wiki/Q1021120","display_name":"Participatory budgeting","level":4,"score":0.4829356372356415},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.33942553400993347},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3316310942173004},{"id":"https://openalex.org/C555826173","wikidata":"https://www.wikidata.org/wiki/Q7174","display_name":"Democracy","level":3,"score":0.1593935191631317},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.15135899186134338},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.11005479097366333},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2310.10215","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2310.10215","pdf_url":"https://arxiv.org/pdf/2310.10215","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"doi:10.48550/arxiv.2310.10215","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2310.10215","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":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2310.10215","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2310.10215","pdf_url":"https://arxiv.org/pdf/2310.10215","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/17","display_name":"Partnerships for the goals","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4387724833.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2367215407","https://openalex.org/W2535593743","https://openalex.org/W3043687110","https://openalex.org/W4313233104","https://openalex.org/W2577976427","https://openalex.org/W2942924912","https://openalex.org/W2580511567","https://openalex.org/W1488198802","https://openalex.org/W2978999882","https://openalex.org/W2067321853"],"abstract_inverted_index":{"Participatory":[0],"Budgeting":[1],"(PB)":[2],"is":[3,34,67,70,102,122,137,173,248,255],"a":[4,13,22,35,49,63,114,129,158,184,188,226],"form":[5],"of":[6,15,27,59,65,150,160,167,232,251,258,264,281],"participatory":[7],"democracy":[8],"in":[9,32,44,56,100,175,225,238,274],"which":[10,42,162],"citizens":[11],"select":[12],"set":[14],"projects":[16,86],"to":[17,21,80,142,212],"be":[18,78],"implemented,":[19],"subject":[20],"budget":[23,90,109,115,125,185,190,199,275],"constraint.":[24,91],"The":[25,135],"Method":[26,166],"Equal":[28,168],"Shares":[29,169],"(MES),":[30],"introduced":[31],"[18],":[33],"simple":[36],"iterative":[37],"method":[38,172],"for":[39,113,133,147,183,198],"this":[40],"task,":[41],"runs":[43],"polynomial":[45],"time":[46,239],"and":[47,187,206,253],"satisfies":[48,223],"demanding":[50],"proportionality":[51],"axiom":[52],"(Extended":[53],"Justified":[54],"Representation)":[55],"the":[57,89,94,96,176,195,210,230,249,256,262,282],"setting":[58],"approval":[60],"utilities.":[61],"However,":[62],"downside":[64],"MES":[66,74,121,144],"that":[68,119,242,271],"it":[69,76,82,127,192,243],"non-exhaustive:":[71],"given":[72,105,179,229],"an":[73,106,180],"outcome,":[75,95],"may":[77],"possible":[79],"expand":[81],"by":[83,201],"adding":[84],"new":[85,189],"without":[87],"violating":[88],"To":[92,152],"complete":[93],"approach":[97],"currently":[98],"used":[99],"practice":[101],"as":[103],"follows:":[104],"instance":[107],"with":[108,124],"$b$,":[110],"one":[111,140,235],"searches":[112],"$b'\\ge":[116],"b$":[117],"such":[118],"when":[120,217],"executed":[123],"$b'$,":[126],"produces":[128],"maximal":[130],"feasible":[131],"solution":[132],"$b$.":[134],"search":[136],"greedy,":[138],"i.e.,":[139],"has":[141],"execute":[143],"from":[145,215],"scratch":[146,216],"each":[148],"value":[149],"$b'$.":[151],"avoid":[153],"redundant":[154],"computation,":[155],"we":[156,163],"introduce":[157],"variant":[159],"MES,":[161],"call":[164],"Adaptive":[165],"(AMES).":[170],"Our":[171],"budget-adaptive,":[174],"sense":[177],"that,":[178],"outcome":[181,196],"$W$":[182,205],"$b$":[186],"$b'>b$,":[191],"can":[193,236],"compute":[194],"$W'$":[197],"$b'$":[200],"leveraging":[202],"similarities":[203],"between":[204],"$W'$.":[207],"This":[208],"eliminates":[209],"need":[211],"recompute":[213],"solutions":[214],"increasing":[218],"virtual":[219],"budgets.":[220],"Furthermore,":[221],"AMES":[222,265],"EJR":[224,245],"certifiable":[227],"way:":[228],"output":[231],"our":[233],"method,":[234],"check":[237],"$O(n\\log":[240],"n+mn)$":[241],"provides":[244],"(here,":[246],"$n$":[247],"number":[250,257],"voters":[252],"$m$":[254],"projects).":[259],"We":[260],"evaluate":[261],"potential":[263],"on":[266],"real-world":[267],"PB":[268],"data,":[269],"showing":[270],"small":[272],"increases":[273],"typically":[276],"require":[277],"only":[278],"minor":[279],"modifications":[280],"outcome.":[283]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2023-10-18T00:00:00"}