{"id":"https://openalex.org/W4245581944","doi":"https://doi.org/10.4086/toc.2012.v008a005","title":"","display_name":"","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W4245581944","doi":"https://doi.org/10.4086/toc.2012.v008a005"},"language":"en","primary_location":{"id":"doi:10.4086/toc.2012.v008a005","is_oa":true,"landing_page_url":"https://doi.org/10.4086/toc.2012.v008a005","pdf_url":"https://theoryofcomputing.org/articles/v008a005/v008a005.pdf","source":{"id":"https://openalex.org/S142665794","display_name":"Theory of Computing","issn_l":"1557-2862","issn":["1557-2862"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315690","host_organization_name":"University of Chicago","host_organization_lineage":["https://openalex.org/P4310315690"],"host_organization_lineage_names":["University of Chicago"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://theoryofcomputing.org/articles/v008a005/v008a005.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001275905","display_name":"Shaddin Dughmi","orcid":"https://orcid.org/0000-0002-2784-1868"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shaddin Dughmi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022886322","display_name":"Tim Roughgarden","orcid":"https://orcid.org/0000-0002-7163-8306"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tim Roughgarden","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5102759846","display_name":"M. Sundararajan","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mukund Sundararajan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.242,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.83875029,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"8","issue":"1","first_page":"95","last_page":"119"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11182","display_name":"Auction Theory and Applications","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11182","display_name":"Auction Theory and Applications","score":0.9994999766349792,"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/T11762","display_name":"Law, Economics, and Judicial Systems","score":0.9739999771118164,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.972100019454956,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/submodular-set-function","display_name":"Submodular set function","score":0.9195941686630249},{"id":"https://openalex.org/keywords/matroid","display_name":"Matroid","score":0.8691071271896362},{"id":"https://openalex.org/keywords/revenue","display_name":"Revenue","score":0.6614341735839844},{"id":"https://openalex.org/keywords/common-value-auction","display_name":"Common value auction","score":0.5250444412231445},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.3723413944244385},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36741483211517334},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35106050968170166},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3346450924873352},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27267906069755554},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.27044975757598877},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.21820667386054993},{"id":"https://openalex.org/keywords/finance","display_name":"Finance","score":0.13178172707557678}],"concepts":[{"id":"https://openalex.org/C178621042","wikidata":"https://www.wikidata.org/wiki/Q7631710","display_name":"Submodular set function","level":2,"score":0.9195941686630249},{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.8691071271896362},{"id":"https://openalex.org/C195487862","wikidata":"https://www.wikidata.org/wiki/Q850210","display_name":"Revenue","level":2,"score":0.6614341735839844},{"id":"https://openalex.org/C163239763","wikidata":"https://www.wikidata.org/wiki/Q5153637","display_name":"Common value auction","level":2,"score":0.5250444412231445},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.3723413944244385},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36741483211517334},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35106050968170166},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3346450924873352},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27267906069755554},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.27044975757598877},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.21820667386054993},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.13178172707557678}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.4086/toc.2012.v008a005","is_oa":true,"landing_page_url":"https://doi.org/10.4086/toc.2012.v008a005","pdf_url":"https://theoryofcomputing.org/articles/v008a005/v008a005.pdf","source":{"id":"https://openalex.org/S142665794","display_name":"Theory of Computing","issn_l":"1557-2862","issn":["1557-2862"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315690","host_organization_name":"University of Chicago","host_organization_lineage":["https://openalex.org/P4310315690"],"host_organization_lineage_names":["University of Chicago"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.4086/toc.2012.v008a005","is_oa":true,"landing_page_url":"https://doi.org/10.4086/toc.2012.v008a005","pdf_url":"https://theoryofcomputing.org/articles/v008a005/v008a005.pdf","source":{"id":"https://openalex.org/S142665794","display_name":"Theory of Computing","issn_l":"1557-2862","issn":["1557-2862"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315690","host_organization_name":"University of Chicago","host_organization_lineage":["https://openalex.org/P4310315690"],"host_organization_lineage_names":["University of Chicago"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6671297155","display_name":null,"funder_award_id":"CAREER","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7125725937","display_name":"CAREER: Algorithmic Game Theory","funder_award_id":"0448664","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7844697471","display_name":null,"funder_award_id":"CCF-0448664","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320333591","display_name":"Multidisciplinary University Research Initiative","ror":null},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4245581944.pdf","grobid_xml":"https://content.openalex.org/works/W4245581944.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1489273657","https://openalex.org/W1537430179","https://openalex.org/W1680189815","https://openalex.org/W1971045091","https://openalex.org/W1989453388","https://openalex.org/W2011039300","https://openalex.org/W2029050771","https://openalex.org/W2030368787","https://openalex.org/W2053381548","https://openalex.org/W2056577277","https://openalex.org/W2066957841","https://openalex.org/W2111319461","https://openalex.org/W2118442327","https://openalex.org/W2127347613","https://openalex.org/W2128331532","https://openalex.org/W2153370512","https://openalex.org/W2160516733","https://openalex.org/W2160747366","https://openalex.org/W3122305203","https://openalex.org/W3125810850","https://openalex.org/W4206483639","https://openalex.org/W4231144620","https://openalex.org/W4246580564"],"related_works":["https://openalex.org/W4385627918","https://openalex.org/W4252399622","https://openalex.org/W4320232260","https://openalex.org/W1499990180","https://openalex.org/W4241672388","https://openalex.org/W3121315611","https://openalex.org/W2094128433","https://openalex.org/W1526980154","https://openalex.org/W3122007008","https://openalex.org/W2144839313"],"abstract_inverted_index":{"We":[0,17,54],"introduce":[1],"revenue":[2,20,60,72],"submodularity,":[3],"the":[4,40,75],"property":[5],"that":[6,19,29,39],"market":[7,67],"expansion":[8,68],"has":[9],"diminishing":[10],"returns":[11],"on":[12],"an":[13],"auction's":[14],"expected":[15],"revenue.":[16],"prove":[18],"submodularity":[21],"is":[22,43],"generally":[23],"possible":[24],"only":[25],"in":[26,35,45],"matroid":[27,46],"markets,":[28,37],"Bayesian-optimal":[30],"auctions":[31],"are":[32],"always":[33],"revenue-submodular":[34,44],"such":[36],"and":[38,51,70],"VCG":[41,76],"mechanism":[42,77],"markets":[47],"with":[48,78],"i.i.d.":[49,79],"bidders":[50],"\"sufficient":[52],"competition.\"":[53],"also":[55],"give":[56],"two":[57],"applications":[58],"of":[59],"submodularity:":[61],"good":[62],"approximation":[63],"algorithms":[64],"for":[65,74],"novel":[66],"problems,":[69],"approximate":[71],"guarantees":[73],"bidders.":[80]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2022-05-12T00:00:00"}