{"id":"https://openalex.org/W3013180986","doi":"https://doi.org/10.1145/3391403.3399453","title":"Menu-size Complexity and Revenue Continuity of Buy-many Mechanisms","display_name":"Menu-size Complexity and Revenue Continuity of Buy-many Mechanisms","publication_year":2020,"publication_date":"2020-07-09","ids":{"openalex":"https://openalex.org/W3013180986","doi":"https://doi.org/10.1145/3391403.3399453","mag":"3013180986"},"language":"en","primary_location":{"id":"doi:10.1145/3391403.3399453","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3391403.3399453","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3391403.3399453","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 21st ACM Conference on Economics and Computation","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3391403.3399453","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005407267","display_name":"Shuchi Chawla","orcid":"https://orcid.org/0000-0001-5583-2320"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Shuchi Chawla","raw_affiliation_strings":["University of Wisconsin-Madison, Madison, WI, USA","University of Wisconsin-Madison, #TAB#"],"affiliations":[{"raw_affiliation_string":"University of Wisconsin-Madison, Madison, WI, USA","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"University of Wisconsin-Madison, #TAB#","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003604562","display_name":"Yifeng Teng","orcid":"https://orcid.org/0000-0002-4824-3840"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yifeng Teng","raw_affiliation_strings":["University of Wisconsin-Madison, Madison, WI, USA","University of Wisconsin-Madison, #TAB#"],"affiliations":[{"raw_affiliation_string":"University of Wisconsin-Madison, Madison, WI, USA","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"University of Wisconsin-Madison, #TAB#","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027430783","display_name":"Christos Tzamos","orcid":"https://orcid.org/0000-0002-7560-5069"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Christos Tzamos","raw_affiliation_strings":["University of Wisconsin-Madison, Madison, WI, USA","University of Wisconsin-Madison, #TAB#"],"affiliations":[{"raw_affiliation_string":"University of Wisconsin-Madison, Madison, WI, USA","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"University of Wisconsin-Madison, #TAB#","institution_ids":["https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5005407267"],"corresponding_institution_ids":["https://openalex.org/I135310074"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0354284,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"475","last_page":"476"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11182","display_name":"Auction Theory and Applications","score":0.9998999834060669,"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":0.9998999834060669,"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/T11161","display_name":"Consumer Market Behavior and Pricing","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1406","display_name":"Marketing"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11437","display_name":"Digital Platforms and Economics","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1408","display_name":"Strategy and Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/revenue","display_name":"Revenue","score":0.6840327978134155},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4790281355381012},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4717617332935333},{"id":"https://openalex.org/keywords/mechanism-design","display_name":"Mechanism design","score":0.4706878960132599},{"id":"https://openalex.org/keywords/incentive","display_name":"Incentive","score":0.45574215054512024},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4484923183917999},{"id":"https://openalex.org/keywords/incentive-compatibility","display_name":"Incentive compatibility","score":0.44390174746513367},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42082783579826355},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.41576775908470154},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3531985282897949},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.326190322637558},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.2379065454006195},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.2253839373588562}],"concepts":[{"id":"https://openalex.org/C195487862","wikidata":"https://www.wikidata.org/wiki/Q850210","display_name":"Revenue","level":2,"score":0.6840327978134155},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4790281355381012},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4717617332935333},{"id":"https://openalex.org/C153517567","wikidata":"https://www.wikidata.org/wiki/Q26090","display_name":"Mechanism design","level":2,"score":0.4706878960132599},{"id":"https://openalex.org/C29122968","wikidata":"https://www.wikidata.org/wiki/Q1414816","display_name":"Incentive","level":2,"score":0.45574215054512024},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4484923183917999},{"id":"https://openalex.org/C91810955","wikidata":"https://www.wikidata.org/wiki/Q7731670","display_name":"Incentive compatibility","level":3,"score":0.44390174746513367},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42082783579826355},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.41576775908470154},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3531985282897949},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.326190322637558},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.2379065454006195},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.2253839373588562},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1145/3391403.3399453","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3391403.3399453","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3391403.3399453","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 21st ACM Conference on Economics and Computation","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2003.10636","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2003.10636","pdf_url":"https://arxiv.org/pdf/2003.10636","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:3013180986","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/2003.10636","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2003.10636","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2003.10636","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1145/3391403.3399453","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3391403.3399453","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3391403.3399453","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 21st ACM Conference on Economics and Computation","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3013180986.pdf","grobid_xml":"https://content.openalex.org/works/W3013180986.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W2018323549","https://openalex.org/W2137162903","https://openalex.org/W2146268012","https://openalex.org/W2240464601","https://openalex.org/W2344198663","https://openalex.org/W2617513782","https://openalex.org/W2888571344","https://openalex.org/W2949836530","https://openalex.org/W2962924022","https://openalex.org/W2963050463","https://openalex.org/W2964055676","https://openalex.org/W2965052587","https://openalex.org/W2987414108","https://openalex.org/W2990906638","https://openalex.org/W2999769482"],"related_works":["https://openalex.org/W3041483436","https://openalex.org/W2949836530","https://openalex.org/W2899418306","https://openalex.org/W3167079978","https://openalex.org/W2783798409","https://openalex.org/W2949299486","https://openalex.org/W1635784337","https://openalex.org/W3145911598","https://openalex.org/W2953167839","https://openalex.org/W3124160165","https://openalex.org/W1501382518","https://openalex.org/W3135849243","https://openalex.org/W2126680086","https://openalex.org/W1488645339","https://openalex.org/W3210519325","https://openalex.org/W2962882094","https://openalex.org/W1682425415","https://openalex.org/W3008906886","https://openalex.org/W2084778193","https://openalex.org/W762884832"],"abstract_inverted_index":{"We":[0,18,177],"study":[1],"the":[2,36,41,50,64,69,78,103,107,117,138,141,173,185,198,224],"multi-item":[3],"mechanism":[4,42,144],"design":[5],"problem":[6],"where":[7],"a":[8,15,23,113,127,147,170,191,202,216],"monopolist":[9],"sells":[10],"$n$":[11,194],"heterogeneous":[12],"items":[13,214],"to":[14,38,168,172,205],"single":[16],"buyer.":[17],"focus":[19],"on":[20,87,184],"buy-many":[21,33,84,122,175],"mechanisms,":[22,137],"natural":[24],"class":[25],"of":[26,46,66,106,115,129,140,161,187,193,227],"mechanisms":[27,67,85,123,209,230],"frequently":[28],"used":[29],"in":[30,49],"practice.":[31],"The":[32],"property":[34],"allows":[35],"buyer":[37,108,217],"interact":[39],"with":[40,218],"multiple":[43],"times":[44],"instead":[45],"once":[47],"as":[48,190,210],"more":[51],"commonly":[52],"studied":[53],"buy-one":[54,82,136,208],"mechanisms.":[55],"This":[56],"imposes":[57],"additional":[58],"incentive":[59],"constraints":[60],"and":[61,83,93,181,195,215],"thus":[62],"restricts":[63],"space":[65],"that":[68,101,157],"seller":[70],"can":[71,149],"use.":[72],"In":[73,133],"this":[74],"paper,":[75],"we":[76],"explore":[77],"qualitative":[79],"differences":[80],"between":[81],"focusing":[86],"two":[88,213],"important":[89],"properties:":[90],"revenue":[91,119,139],"continuity":[92],"menu-size":[94,225],"complexity.":[95],"Our":[96,152],"first":[97],"main":[98,154],"result":[99,155,203],"is":[100,109,231],"when":[102],"value":[104],"function":[105,192],"perturbed":[110],"multiplicatively":[111],"by":[112,121,126],"factor":[114,128],"$1\\pm\u03b5$,":[116],"optimal":[118,143,174,229],"obtained":[120],"only":[124],"changes":[125],"$1":[130],"\\pm":[131],"\\textrm{poly}(n,\u03b5)$.":[132],"contrast,":[134],"for":[135,207,212],"resulting":[142],"after":[145],"such":[146,201],"perturbation":[148],"change":[150],"arbitrarily.":[151],"second":[153],"shows":[156],"under":[158],"any":[159],"distribution":[160],"arbitrary":[162],"valuations,":[163,223],"finite":[164],"menu":[165,188],"size":[166],"suffices":[167],"achieve":[169],"$(1-\u03b5)$-approximation":[171],"mechanism.":[176],"give":[178],"tight":[179],"upper":[180],"lower":[182],"bounds":[183],"number":[186],"entries":[189],"$\u03b5$.":[196],"On":[197],"other":[199],"hand,":[200],"fails":[204],"hold":[206],"even":[211],"either":[219],"unit-demand":[220],"or":[221],"additive":[222],"complexity":[226],"approximately":[228],"unbounded.":[232]},"counts_by_year":[],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}
