{"id":"https://openalex.org/W7127307182","doi":"https://doi.org/10.48550/arxiv.2602.01048","title":"Minimizing Inequity in Facility Location Games","display_name":"Minimizing Inequity in Facility Location Games","publication_year":2026,"publication_date":"2026-02-01","ids":{"openalex":"https://openalex.org/W7127307182","doi":"https://doi.org/10.48550/arxiv.2602.01048"},"language":null,"primary_location":{"id":"pmh:doi:10.48550/arxiv.2602.01048","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5124951456","display_name":"Yuhang Guo","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Guo, Yuhang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5124875834","display_name":"Houyu Zhou","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhou, Houyu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"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":0.7962999939918518,"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":0.7962999939918518,"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/T11031","display_name":"Game Theory and Applications","score":0.0763000026345253,"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"}},{"id":"https://openalex.org/T11182","display_name":"Auction Theory and Applications","score":0.03240000084042549,"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/group","display_name":"Group (periodic table)","score":0.5590000152587891},{"id":"https://openalex.org/keywords/facility-location-problem","display_name":"Facility location problem","score":0.5382000207901001},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4595000147819519},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.45159998536109924},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.3878999948501587},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.3398999869823456}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5805000066757202},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5590000152587891},{"id":"https://openalex.org/C108005400","wikidata":"https://www.wikidata.org/wiki/Q1305598","display_name":"Facility location problem","level":2,"score":0.5382000207901001},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5080999732017517},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4595000147819519},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.45159998536109924},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.3878999948501587},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3709000051021576},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.3398999869823456},{"id":"https://openalex.org/C89611455","wikidata":"https://www.wikidata.org/wiki/Q6804646","display_name":"Mechanism (biology)","level":2,"score":0.3084999918937683},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.3027999997138977},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.2858999967575073},{"id":"https://openalex.org/C153517567","wikidata":"https://www.wikidata.org/wiki/Q26090","display_name":"Mechanism design","level":2,"score":0.2849000096321106},{"id":"https://openalex.org/C2989514635","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization problem","level":3,"score":0.2775999903678894},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.2768999934196472}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:doi:10.48550/arxiv.2602.01048","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Article"},{"id":"doi:10.48550/arxiv.2602.01048","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.01048","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:doi:10.48550/arxiv.2602.01048","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.40105754137039185,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"the":[3,14,34,56,74,100,111,114,118,133,143,172,179],"problem":[4],"of":[5,132],"minimizing":[6],"group-level":[7],"inequity":[8],"in":[9,146],"facility":[10],"location":[11],"games":[12],"on":[13],"real":[15],"line,":[16],"where":[17],"agents":[18],"belong":[19],"to":[20,55,98,183],"different":[21],"groups":[22],"and":[23,41,79,92,117,124,156,177,187],"may":[24],"act":[25],"strategically.":[26],"We":[27,63],"explore":[28],"a":[29,167],"fairness-oriented":[30],"objective":[31],"that":[32,65,189],"minimizes":[33],"maximum":[35,53,90,101,134,197],"group":[36,94,102,135,198],"effect":[37,46,136,199],"introduced":[38],"by":[39,60,153],"Marsh":[40],"Schilling":[42],"(1994).":[43],"Each":[44],"group's":[45],"is":[47],"defined":[48],"as":[49,84,86],"its":[50],"total":[51,91],"or":[52],"distance":[54],"nearest":[57],"facility,":[58],"weighted":[59],"group-specific":[61],"factors.":[62],"show":[64],"this":[66],"formulation":[67],"generalizes":[68],"several":[69],"prominent":[70],"optimization":[71],"objectives,":[72,83,89],"including":[73],"classical":[75,163,180],"utilitarian":[76],"(social":[77],"cost)":[78,82],"egalitarian":[80],"(maximum":[81],"well":[85],"two":[87,107,195],"group-fair":[88],"average":[93],"cost.":[95],"In":[96],"order":[97],"minimize":[99],"effect,":[103],"we":[104,175],"first":[105],"propose":[106],"novel":[108],"mechanisms":[109,139,165],"for":[110,149,194],"single-facility":[112],"case,":[113,174],"BALANCED":[115],"mechanism":[116,182],"MAJOR-PHANTOM":[119],"mechanism.":[120],"Both":[121],"are":[122],"strategyproof":[123],"achieve":[125],"tight":[126,192],"approximation":[127,147],"guarantees":[128],"under":[129],"distinct":[130,196],"formulations":[131],"objective.":[137],"Our":[138],"not":[140],"only":[141],"close":[142],"existing":[144],"gap":[145],"bounds":[148,193],"group-fairness":[150],"objectives":[151],"identified":[152],"Zhou,":[154],"Li,":[155],"Chan":[157],"(2022),":[158],"but":[159],"also":[160],"unify":[161],"many":[162],"truthful":[164],"within":[166],"broader":[168],"fairness-aware":[169],"framework.":[170],"For":[171],"two-facility":[173],"revisit":[176],"extend":[178],"endpoint":[181],"our":[184],"generalized":[185],"setting":[186],"demonstrate":[188],"it":[190],"provides":[191],"objectives.":[200]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-02-04T00:00:00"}
