{"id":"https://openalex.org/W2060231964","doi":"https://doi.org/10.1142/s0219198910002520","title":"A NOTE ON DISCRETE BID FIRST-PRICE AUCTION WITH GENERAL VALUE DISTRIBUTION","display_name":"A NOTE ON DISCRETE BID FIRST-PRICE AUCTION WITH GENERAL VALUE DISTRIBUTION","publication_year":2010,"publication_date":"2010-03-01","ids":{"openalex":"https://openalex.org/W2060231964","doi":"https://doi.org/10.1142/s0219198910002520","mag":"2060231964"},"language":"en","primary_location":{"id":"doi:10.1142/s0219198910002520","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219198910002520","pdf_url":null,"source":{"id":"https://openalex.org/S130757258","display_name":"International Game Theory Review","issn_l":"0219-1989","issn":["0219-1989","1793-6675"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Game Theory Review","raw_type":"journal-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/A5015690869","display_name":"Gangshu Cai","orcid":"https://orcid.org/0000-0003-0673-5908"},"institutions":[{"id":"https://openalex.org/I189590672","display_name":"Kansas State University","ror":"https://ror.org/05p1j8758","country_code":"US","type":"education","lineage":["https://openalex.org/I189590672"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"GANGSHU (GEORGE) CAI","raw_affiliation_strings":["Department of Management, Kansas State University, Manhattan, KS 66506, USA"],"affiliations":[{"raw_affiliation_string":"Department of Management, Kansas State University, Manhattan, KS 66506, USA","institution_ids":["https://openalex.org/I189590672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008848329","display_name":"Peter R. Wurman","orcid":"https://orcid.org/0000-0001-9349-0624"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"PETER R. WURMAN","raw_affiliation_strings":["Kiva Systems, Inc., 225 Wildwood Avenue, Woburn, MA 01801, USA"],"affiliations":[{"raw_affiliation_string":"Kiva Systems, Inc., 225 Wildwood Avenue, Woburn, MA 01801, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053679473","display_name":"Xiting Gong","orcid":"https://orcid.org/0000-0002-0941-2218"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"XITING GONG","raw_affiliation_strings":["Guanghua School of Management, Peking University, Beijing 100871, China"],"affiliations":[{"raw_affiliation_string":"Guanghua School of Management, Peking University, Beijing 100871, China","institution_ids":["https://openalex.org/I20231570"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5015690869"],"corresponding_institution_ids":["https://openalex.org/I189590672"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.16952388,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"12","issue":"01","first_page":"75","last_page":"81"},"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":0.996999979019165,"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/T10328","display_name":"Supply Chain and Inventory Management","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"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/unique-bid-auction","display_name":"Unique bid auction","score":0.8322776556015015},{"id":"https://openalex.org/keywords/bid-shading","display_name":"Bid shading","score":0.7481527328491211},{"id":"https://openalex.org/keywords/proxy-bid","display_name":"Proxy bid","score":0.6544029116630554},{"id":"https://openalex.org/keywords/english-auction","display_name":"English auction","score":0.6079091429710388},{"id":"https://openalex.org/keywords/vickrey-auction","display_name":"Vickrey auction","score":0.5863838195800781},{"id":"https://openalex.org/keywords/generalized-second-price-auction","display_name":"Generalized second-price auction","score":0.5742346048355103},{"id":"https://openalex.org/keywords/revenue-equivalence","display_name":"Revenue equivalence","score":0.5733070373535156},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.49267369508743286},{"id":"https://openalex.org/keywords/common-value-auction","display_name":"Common value auction","score":0.45467668771743774},{"id":"https://openalex.org/keywords/bid-price","display_name":"Bid price","score":0.44686123728752136},{"id":"https://openalex.org/keywords/auction-theory","display_name":"Auction theory","score":0.4156220555305481},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.41246497631073},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3677036762237549},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.3483625650405884},{"id":"https://openalex.org/keywords/finance","display_name":"Finance","score":0.07420217990875244}],"concepts":[{"id":"https://openalex.org/C205871297","wikidata":"https://www.wikidata.org/wiki/Q765312","display_name":"Unique bid auction","level":4,"score":0.8322776556015015},{"id":"https://openalex.org/C171749020","wikidata":"https://www.wikidata.org/wiki/Q4903974","display_name":"Bid shading","level":5,"score":0.7481527328491211},{"id":"https://openalex.org/C163074370","wikidata":"https://www.wikidata.org/wiki/Q7252893","display_name":"Proxy bid","level":5,"score":0.6544029116630554},{"id":"https://openalex.org/C112481924","wikidata":"https://www.wikidata.org/wiki/Q1626270","display_name":"English auction","level":3,"score":0.6079091429710388},{"id":"https://openalex.org/C83426474","wikidata":"https://www.wikidata.org/wiki/Q243758","display_name":"Vickrey auction","level":4,"score":0.5863838195800781},{"id":"https://openalex.org/C48278072","wikidata":"https://www.wikidata.org/wiki/Q5532508","display_name":"Generalized second-price auction","level":4,"score":0.5742346048355103},{"id":"https://openalex.org/C143684077","wikidata":"https://www.wikidata.org/wiki/Q431186","display_name":"Revenue equivalence","level":4,"score":0.5733070373535156},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.49267369508743286},{"id":"https://openalex.org/C163239763","wikidata":"https://www.wikidata.org/wiki/Q5153637","display_name":"Common value auction","level":2,"score":0.45467668771743774},{"id":"https://openalex.org/C76281924","wikidata":"https://www.wikidata.org/wiki/Q1499526","display_name":"Bid price","level":2,"score":0.44686123728752136},{"id":"https://openalex.org/C11276805","wikidata":"https://www.wikidata.org/wiki/Q771334","display_name":"Auction theory","level":3,"score":0.4156220555305481},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.41246497631073},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3677036762237549},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.3483625650405884},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.07420217990875244}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1142/s0219198910002520","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219198910002520","pdf_url":null,"source":{"id":"https://openalex.org/S130757258","display_name":"International Game Theory Review","issn_l":"0219-1989","issn":["0219-1989","1793-6675"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Game Theory Review","raw_type":"journal-article"},{"id":"pmh:oai:scholarcommons.scu.edu:omis-1143","is_oa":false,"landing_page_url":"https://scholarcommons.scu.edu/omis/144","pdf_url":null,"source":{"id":"https://openalex.org/S4377196452","display_name":"Scholar Commons (Santa Clara University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I16269868","host_organization_name":"Santa Clara University","host_organization_lineage":["https://openalex.org/I16269868"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Information Systems and Analytics","raw_type":"text"},{"id":"pmh:oai:RePEc:wsi:igtrxx:v:12:y:2010:i:01:n:s0219198910002520","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0219198910002520","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:RePEc:wsi:igtrxx:v:12:y:2010:i:01:p:75-81","is_oa":false,"landing_page_url":"http://www.worldscinet.com/cgi-bin/details.cgi?type=html&amp;id=pii:S0219198910002520","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320310013","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W331442585","https://openalex.org/W1494498837","https://openalex.org/W1547358889","https://openalex.org/W1589772251","https://openalex.org/W1998681897","https://openalex.org/W2004339054","https://openalex.org/W2015007620","https://openalex.org/W2029050771","https://openalex.org/W2032395673","https://openalex.org/W2065288011","https://openalex.org/W2067050450","https://openalex.org/W2083153843","https://openalex.org/W2105173236","https://openalex.org/W2116328038","https://openalex.org/W2117486568","https://openalex.org/W2130136629","https://openalex.org/W2131696126","https://openalex.org/W2140026596","https://openalex.org/W3123160622","https://openalex.org/W3146800583","https://openalex.org/W4251484745","https://openalex.org/W4299846046"],"related_works":["https://openalex.org/W3151564981","https://openalex.org/W2165355516","https://openalex.org/W2066916842","https://openalex.org/W3122531769","https://openalex.org/W284298052","https://openalex.org/W2364784963","https://openalex.org/W2078143685","https://openalex.org/W3165175047","https://openalex.org/W3124335038","https://openalex.org/W1486867106"],"abstract_inverted_index":{"This":[0],"paper":[1],"evaluates":[2],"the":[3,28,37],"discrete":[4,29,38],"bid":[5,30,39,49],"first-price":[6],"sealed-bid":[7],"(FPSB)":[8],"auction":[9],"in":[10],"a":[11,14,21,47],"model":[12],"with":[13],"general":[15],"value":[16],"distribution.":[17],"We":[18,33],"show":[19],"that":[20,36,45],"symmetric":[22],"Bayesian":[23],"Nash":[24],"equilibrium":[25,41],"exists":[26],"for":[27],"FPSB":[31,40,50],"auction.":[32,51],"further":[34],"prove":[35],"conditionally":[42],"converges":[43],"to":[44],"of":[46],"continuous":[48]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
