{"id":"https://openalex.org/W3178419676","doi":"https://doi.org/10.1145/3465456.3467621","title":"Tight Revenue Gaps among Multi-Unit Mechanisms","display_name":"Tight Revenue Gaps among Multi-Unit Mechanisms","publication_year":2021,"publication_date":"2021-07-18","ids":{"openalex":"https://openalex.org/W3178419676","doi":"https://doi.org/10.1145/3465456.3467621","mag":"3178419676"},"language":"en","primary_location":{"id":"doi:10.1145/3465456.3467621","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3465456.3467621","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3465456.3467621","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":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3465456.3467621","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055378538","display_name":"Yaonan Jin","orcid":"https://orcid.org/0000-0001-6256-7625"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yaonan Jin","raw_affiliation_strings":["Columbia University, New York, NY, USA"],"affiliations":[{"raw_affiliation_string":"Columbia University, New York, NY, USA","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011889137","display_name":"Shunhua Jiang","orcid":"https://orcid.org/0000-0003-2226-7980"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shunhua Jiang","raw_affiliation_strings":["Columbia University, New York, NY, USA"],"affiliations":[{"raw_affiliation_string":"Columbia University, New York, NY, USA","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025408809","display_name":"Pinyan Lu","orcid":"https://orcid.org/0009-0005-0569-4122"},"institutions":[{"id":"https://openalex.org/I181679659","display_name":"Shanghai University of Finance and Economics","ror":"https://ror.org/00wtvfq62","country_code":"CN","type":"education","lineage":["https://openalex.org/I181679659"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pinyan Lu","raw_affiliation_strings":["Shanghai University of Finance and Economics, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Shanghai University of Finance and Economics, Shanghai, China","institution_ids":["https://openalex.org/I181679659"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046895090","display_name":"Hengjie Zhang","orcid":"https://orcid.org/0009-0002-6498-7353"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hengjie Zhang","raw_affiliation_strings":["Columbia University, New York, NY, USA"],"affiliations":[{"raw_affiliation_string":"Columbia University, New York, NY, USA","institution_ids":["https://openalex.org/I78577930"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5055378538"],"corresponding_institution_ids":["https://openalex.org/I78577930"],"apc_list":null,"apc_paid":null,"fwci":0.3588,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.63131895,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"86","issue":null,"first_page":"654","last_page":"673"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11182","display_name":"Auction Theory and Applications","score":1.0,"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":1.0,"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":0.9983999729156494,"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/T12288","display_name":"Optimization and Search Problems","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/revenue","display_name":"Revenue","score":0.7754307985305786},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.6163395047187805},{"id":"https://openalex.org/keywords/unit-price","display_name":"Unit price","score":0.54893559217453},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5111396908760071},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.48232170939445496},{"id":"https://openalex.org/keywords/unit","display_name":"Unit (ring theory)","score":0.44368940591812134},{"id":"https://openalex.org/keywords/revenue-equivalence","display_name":"Revenue equivalence","score":0.44362419843673706},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.4337451159954071},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.42676737904548645},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.3587057590484619},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3388856053352356},{"id":"https://openalex.org/keywords/auction-theory","display_name":"Auction theory","score":0.30453288555145264},{"id":"https://openalex.org/keywords/common-value-auction","display_name":"Common value auction","score":0.28943467140197754},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2789310812950134},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11759385466575623},{"id":"https://openalex.org/keywords/finance","display_name":"Finance","score":0.10330763459205627}],"concepts":[{"id":"https://openalex.org/C195487862","wikidata":"https://www.wikidata.org/wiki/Q850210","display_name":"Revenue","level":2,"score":0.7754307985305786},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.6163395047187805},{"id":"https://openalex.org/C8326231","wikidata":"https://www.wikidata.org/wiki/Q7887147","display_name":"Unit price","level":2,"score":0.54893559217453},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5111396908760071},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.48232170939445496},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.44368940591812134},{"id":"https://openalex.org/C143684077","wikidata":"https://www.wikidata.org/wiki/Q431186","display_name":"Revenue equivalence","level":4,"score":0.44362419843673706},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4337451159954071},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.42676737904548645},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3587057590484619},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3388856053352356},{"id":"https://openalex.org/C11276805","wikidata":"https://www.wikidata.org/wiki/Q771334","display_name":"Auction theory","level":3,"score":0.30453288555145264},{"id":"https://openalex.org/C163239763","wikidata":"https://www.wikidata.org/wiki/Q5153637","display_name":"Common value auction","level":2,"score":0.28943467140197754},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2789310812950134},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11759385466575623},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.10330763459205627},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3465456.3467621","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3465456.3467621","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3465456.3467621","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":{"id":"doi:10.1145/3465456.3467621","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3465456.3467621","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3465456.3467621","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"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.6000000238418579}],"awards":[{"id":"https://openalex.org/G1100817172","display_name":null,"funder_award_id":"619320","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1121271761","display_name":null,"funder_award_id":"Program","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1171700966","display_name":null,"funder_award_id":"NSF CAREER","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1276829693","display_name":null,"funder_award_id":"Shanghai","funder_id":"https://openalex.org/F4320321881","funder_display_name":"Shanghai Municipal Education Commission"},{"id":"https://openalex.org/G1732894885","display_name":"Lamellae Formation and Reorientation in Diblock Copolymers","funder_award_id":"0100903","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3645694610","display_name":"AF: Medium: New Frontiers in Equilibrium Computation","funder_award_id":"1703925","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3878299174","display_name":null,"funder_award_id":"IIS-1838154","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4020255992","display_name":null,"funder_award_id":"Project","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5399262016","display_name":null,"funder_award_id":"IIS-1838154, CCF-1703925, CCF-1814873, CCF-1563155, CCF-1844887","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5544820184","display_name":null,"funder_award_id":"CCF-1844887","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5939423041","display_name":null,"funder_award_id":"Technology","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6128195084","display_name":null,"funder_award_id":"IRTSHUFE","funder_id":"https://openalex.org/F4320324781","funder_display_name":"Shanghai University of Finance and Economics"},{"id":"https://openalex.org/G643561847","display_name":"BIGDATA: F: Big Data Analysis via Non-Standard Property Testing","funder_award_id":"1838154","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"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/G6809183074","display_name":null,"funder_award_id":"Project No.","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7537086629","display_name":null,"funder_award_id":"6193200","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7640071255","display_name":null,"funder_award_id":"CCF-1563155","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7756092016","display_name":"CAREER: Information Theoretic Methods in Data Structures","funder_award_id":"1844887","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G847694309","display_name":null,"funder_award_id":"61922052 and 61932002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8559448196","display_name":"AF: Small: Collaborative Research: Boolean Function Analysis Meets Stochastic Design","funder_award_id":"1814873","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8728025545","display_name":"AF: Medium: Collaborative Research:  Circuit Lower Bounds via Projections","funder_award_id":"1563155","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8939654172","display_name":null,"funder_award_id":"61932002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8955107213","display_name":null,"funder_award_id":"Major","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G974371836","display_name":null,"funder_award_id":"61922052","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321881","display_name":"Shanghai Municipal Education Commission","ror":"https://ror.org/05tewj457"},{"id":"https://openalex.org/F4320324781","display_name":"Shanghai University of Finance and Economics","ror":"https://ror.org/00wtvfq62"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3178419676.pdf","grobid_xml":"https://content.openalex.org/works/W3178419676.grobid-xml"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W1530458910","https://openalex.org/W1964005287","https://openalex.org/W1964711187","https://openalex.org/W1982971964","https://openalex.org/W1987352480","https://openalex.org/W1988671533","https://openalex.org/W1992428795","https://openalex.org/W2029050771","https://openalex.org/W2041979825","https://openalex.org/W2069134712","https://openalex.org/W2077124610","https://openalex.org/W2077881254","https://openalex.org/W2105296258","https://openalex.org/W2118442327","https://openalex.org/W2131951207","https://openalex.org/W2160747366","https://openalex.org/W2163900650","https://openalex.org/W2179880041","https://openalex.org/W2342119413","https://openalex.org/W2418924390","https://openalex.org/W2675314026","https://openalex.org/W2758521565","https://openalex.org/W2855516019","https://openalex.org/W2882986860","https://openalex.org/W2886917585","https://openalex.org/W2888870252","https://openalex.org/W2892403580","https://openalex.org/W2901729851","https://openalex.org/W2909224348","https://openalex.org/W2949526631","https://openalex.org/W2949904805","https://openalex.org/W2962826553","https://openalex.org/W2963441643","https://openalex.org/W2963536720","https://openalex.org/W2963882139","https://openalex.org/W2963972304","https://openalex.org/W2964161669","https://openalex.org/W2991411207","https://openalex.org/W2996259461","https://openalex.org/W3003464639","https://openalex.org/W3005743943","https://openalex.org/W3112638427","https://openalex.org/W6683563780"],"related_works":["https://openalex.org/W2959927060","https://openalex.org/W2165836997","https://openalex.org/W2361952850","https://openalex.org/W2115984068","https://openalex.org/W4390725175","https://openalex.org/W1566554431","https://openalex.org/W1928389561","https://openalex.org/W4390450887","https://openalex.org/W2057289354","https://openalex.org/W2361652572"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"Bayesian":[3],"revenue":[4,81,130,151],"maximization":[5],"in":[6,41,46],"the":[7,47,71,76,80,89,99,110,122,144],"k-unit":[8],"setting,":[9],"where":[10],"a":[11,65],"monopolist":[12],"seller":[13],"has":[14],"k":[15],"copies":[16],"of":[17,67,88,132,153],"an":[18,127,148],"indivisible":[19],"item":[20],"and":[21,43,61,105,108,116],"faces":[22],"n":[23],"unit-demand":[24],"buyers":[25],"(whose":[26],"value":[27,86],"distributions":[28,87],"can":[29],"be":[30],"non-identical).":[31],"Four":[32],"basic":[33],"mechanisms":[34,94,125,142],"among":[35],"others":[36],"have":[37,126,147],"been":[38],"widely":[39,44],"employed":[40],"practice":[42],"studied":[45],"literature:":[48],"Myerson":[49,103],"Auction,":[50],"Sequential":[51,106],"Posted-Pricing,":[52,107],"(k":[53],"+":[54,134],"1)-th":[55],"Price":[56],"Auction":[57,104],"with":[58],"Anonymous":[59,62,114,117],"Reserve,":[60],"Pricing.":[63,118],"Regarding":[64],"pair":[66],"mechanisms,":[68],"we":[69],"investigate":[70],"largest":[72],"possible":[73,85],"ratio":[74],"between":[75],"two":[77,96,124,141],"revenues":[78],"(a.k.a.":[79],"gap),":[82],"over":[83],"all":[84],"buyers.":[90],"Divide":[91],"these":[92],"four":[93],"into":[95],"groups:":[97],"(i)":[98],"discriminating":[100],"mechanism":[101,112],"group,":[102,113,121],"(ii)":[109],"anonymous":[111],"Reserve":[115],"Within":[119],"one":[120],"involved":[123],"asymptotically":[128,149],"tight":[129,150],"gap":[131,152],"1":[133],"\u0398(1":[135],"/":[136],"\u221ak).":[137],"In":[138],"contrast,":[139],"any":[140],"from":[143],"different":[145],"groups":[146],"\u0398(\u0142og":[154],"k).":[155]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-15T08:11:43.952461","created_date":"2025-10-10T00:00:00"}