{"id":"https://openalex.org/W3183389161","doi":"https://doi.org/10.1145/3465456.3467619","title":"Multi-Rank Smart Reserves","display_name":"Multi-Rank Smart Reserves","publication_year":2021,"publication_date":"2021-07-18","ids":{"openalex":"https://openalex.org/W3183389161","doi":"https://doi.org/10.1145/3465456.3467619","mag":"3183389161"},"language":"en","primary_location":{"id":"doi:10.1145/3465456.3467619","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3465456.3467619","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 22nd ACM Conference on Economics and Computation","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044987618","display_name":"Haris Aziz","orcid":"https://orcid.org/0000-0001-9757-4956"},"institutions":[{"id":"https://openalex.org/I1292875679","display_name":"Commonwealth Scientific and Industrial Research Organisation","ror":"https://ror.org/03qn8fb07","country_code":"AU","type":"funder","lineage":["https://openalex.org/I1292875679","https://openalex.org/I2801453606","https://openalex.org/I4387156119"]},{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]},{"id":"https://openalex.org/I42894916","display_name":"Data61","ror":"https://ror.org/03q397159","country_code":"AU","type":"other","lineage":["https://openalex.org/I1292875679","https://openalex.org/I2801453606","https://openalex.org/I42894916","https://openalex.org/I4387156119"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Haris Aziz","raw_affiliation_strings":["University of New South Wales Sydney &amp; Data61 CSIRO, Sydney, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"University of New South Wales Sydney &amp; Data61 CSIRO, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I42894916","https://openalex.org/I31746571","https://openalex.org/I1292875679"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064189451","display_name":"Zhaohong Sun","orcid":"https://orcid.org/0000-0003-1394-1232"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]},{"id":"https://openalex.org/I42894916","display_name":"Data61","ror":"https://ror.org/03q397159","country_code":"AU","type":"other","lineage":["https://openalex.org/I1292875679","https://openalex.org/I2801453606","https://openalex.org/I42894916","https://openalex.org/I4387156119"]},{"id":"https://openalex.org/I1292875679","display_name":"Commonwealth Scientific and Industrial Research Organisation","ror":"https://ror.org/03qn8fb07","country_code":"AU","type":"funder","lineage":["https://openalex.org/I1292875679","https://openalex.org/I2801453606","https://openalex.org/I4387156119"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Zhaohong Sun","raw_affiliation_strings":["University of New South Wales Sydney &amp; Data61 CSIRO, Sydney, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"University of New South Wales Sydney &amp; Data61 CSIRO, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I42894916","https://openalex.org/I31746571","https://openalex.org/I1292875679"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5044987618"],"corresponding_institution_ids":["https://openalex.org/I1292875679","https://openalex.org/I31746571","https://openalex.org/I42894916"],"apc_list":null,"apc_paid":null,"fwci":0.92,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.83450833,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"105","last_page":"124"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9998999834060669,"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":0.9998999834060669,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9970999956130981,"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"}},{"id":"https://openalex.org/T11182","display_name":"Auction Theory and Applications","score":0.9898999929428101,"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/rank","display_name":"Rank (graph theory)","score":0.7543954849243164},{"id":"https://openalex.org/keywords/diversity","display_name":"Diversity (politics)","score":0.6824129819869995},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.6577576398849487},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.5942877531051636},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5821967124938965},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5811724066734314},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5430566072463989},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5423991680145264},{"id":"https://openalex.org/keywords/outcome","display_name":"Outcome (game theory)","score":0.5401431918144226},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5010406970977783},{"id":"https://openalex.org/keywords/school-choice","display_name":"School choice","score":0.42664724588394165},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.41219761967658997},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4015328884124756},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37041619420051575},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32551220059394836},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24354666471481323},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.21917882561683655},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1320166289806366},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.12409773468971252},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.1086527407169342}],"concepts":[{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.7543954849243164},{"id":"https://openalex.org/C2781316041","wikidata":"https://www.wikidata.org/wiki/Q1230584","display_name":"Diversity (politics)","level":2,"score":0.6824129819869995},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.6577576398849487},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.5942877531051636},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5821967124938965},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5811724066734314},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5430566072463989},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5423991680145264},{"id":"https://openalex.org/C148220186","wikidata":"https://www.wikidata.org/wiki/Q7111912","display_name":"Outcome (game theory)","level":2,"score":0.5401431918144226},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5010406970977783},{"id":"https://openalex.org/C2778136243","wikidata":"https://www.wikidata.org/wiki/Q2248822","display_name":"School choice","level":2,"score":0.42664724588394165},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.41219761967658997},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4015328884124756},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37041619420051575},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32551220059394836},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24354666471481323},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.21917882561683655},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1320166289806366},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.12409773468971252},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.1086527407169342},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3465456.3467619","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3465456.3467619","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 22nd ACM Conference on Economics and Computation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W1946154213","https://openalex.org/W1978256120","https://openalex.org/W1990764606","https://openalex.org/W2044116032","https://openalex.org/W2045342277","https://openalex.org/W2053182991","https://openalex.org/W2060580529","https://openalex.org/W2062793650","https://openalex.org/W2096375861","https://openalex.org/W2110013180","https://openalex.org/W2116188555","https://openalex.org/W2143529993","https://openalex.org/W2153583058","https://openalex.org/W2158486621","https://openalex.org/W2164712528","https://openalex.org/W2295782722","https://openalex.org/W2340985688","https://openalex.org/W2508480868","https://openalex.org/W2582892330","https://openalex.org/W2608239929","https://openalex.org/W2616078394","https://openalex.org/W2768254850","https://openalex.org/W2771060730","https://openalex.org/W2943625691","https://openalex.org/W2945004604","https://openalex.org/W2951084603","https://openalex.org/W2952288963","https://openalex.org/W2963400632","https://openalex.org/W2971758806","https://openalex.org/W2971924490","https://openalex.org/W3000352248","https://openalex.org/W3000574161","https://openalex.org/W3021624403","https://openalex.org/W3035176869","https://openalex.org/W3037367067","https://openalex.org/W3122305857","https://openalex.org/W3123564902","https://openalex.org/W3125308548","https://openalex.org/W3178884508","https://openalex.org/W3182439385","https://openalex.org/W3184111600","https://openalex.org/W4213094076","https://openalex.org/W4383558094","https://openalex.org/W6700181353"],"related_works":["https://openalex.org/W2978999882","https://openalex.org/W2153369162","https://openalex.org/W2119369480","https://openalex.org/W3141031773","https://openalex.org/W1595686156","https://openalex.org/W2181392282","https://openalex.org/W148937441","https://openalex.org/W4367046737","https://openalex.org/W2902152298","https://openalex.org/W1774334694"],"abstract_inverted_index":{"We":[0,34,59],"study":[1],"the":[2,28,45,73,84,94,109,125,141],"school":[3,8],"choice":[4,38,67,119,126],"problem":[5],"where":[6,169],"each":[7,15],"has":[9],"flexible":[10],"multi-ranked":[11],"diversity":[12,184],"goals,":[13],"and":[14,23,40,56,98,134,149,153,159],"student":[16],"may":[17],"belong":[18],"to":[19,114,146,162,177],"multiple":[20],"overlapping":[21],"types,":[22],"consumes":[24],"only":[25],"one":[26],"of":[27,87,96,165],"positions":[29,171],"reserved":[30],"for":[31,65,93,101,130],"their":[32],"types.":[33],"propose":[35],"a":[36,61,163],"novel":[37],"function":[39,68,127],"show":[41],"that":[42,48,69,124],"it":[43],"is":[44,70,108],"unique":[46],"rule":[47],"satisfies":[49,132],"three":[50],"fundamental":[51],"properties:":[52],"maximal":[53,90],"diversity,":[54],"non-wastefulness,":[55],"justified":[57],"envy-freeness.":[58],"provide":[60],"fast":[62],"polynomial-time":[63,112],"algorithm":[64,145],"our":[66],"based":[71],"on":[72],"Dulmage":[74],"Mendelsohn":[75],"Decomposition":[76],"Theorem":[77],"as":[78,80,168],"well":[79],"new":[81],"insights":[82],"into":[83,182],"combinatorial":[85],"structure":[86],"constrained":[88],"rank":[89],"matchings.":[91],"Even":[92],"case":[95],"minimum":[97],"maximum":[99],"quotas":[100],"types":[102],"(that":[103],"capture":[104],"two":[105],"ranks),":[106],"ours":[107],"first":[110],"known":[111],"approach":[113],"compute":[115],"an":[116],"optimally":[117],"diverse":[118],"outcome.":[120],"Finally,":[121],"we":[122,128],"prove":[123],"design":[129],"schools,":[131],"substitutability":[133],"hence":[135],"can":[136],"be":[137,178],"directly":[138,160],"embedded":[139],"in":[140],"generalized":[142],"deferred":[143],"acceptance":[144],"achieve":[147],"strategyproofness":[148],"stability.":[150],"Our":[151],"algorithms":[152],"results":[154],"have":[155],"immediate":[156],"policy":[157],"implications":[158],"apply":[161],"variety":[164],"scenarios,":[166],"such":[167],"hiring":[170],"or":[172,186],"scarce":[173],"medical":[174],"resources":[175],"need":[176],"allocated":[179],"while":[180],"taking":[181],"account":[183],"concerns":[185],"ethical":[187],"principles.":[188]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
