{"id":"https://openalex.org/W1804485113","doi":"https://doi.org/10.1007/978-3-540-74456-6_58","title":"The Power of Two Prices: Beyond Cross-Monotonicity","display_name":"The Power of Two Prices: Beyond Cross-Monotonicity","publication_year":2007,"publication_date":"2007-08-14","ids":{"openalex":"https://openalex.org/W1804485113","doi":"https://doi.org/10.1007/978-3-540-74456-6_58","mag":"1804485113"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-74456-6_58","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-74456-6_58","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5060811655","display_name":"Yvonne Bleischwitz","orcid":null},"institutions":[{"id":"https://openalex.org/I4210140143","display_name":"Dynamic Systems (United States)","ror":"https://ror.org/043vm9914","country_code":"US","type":"company","lineage":["https://openalex.org/I4210140143"]},{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE","US"],"is_corresponding":true,"raw_author_name":"Yvonne Bleischwitz","raw_affiliation_strings":["Faculty of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, F\u00fcrstenallee 11, 33102 Paderborn, Germany","International Graduate School of Dynamic Intelligent Systems,","Faculty of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, Paderborn, Germany and International Graduate School of Dynamic Intelligent Systems#TAB#"],"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, F\u00fcrstenallee 11, 33102 Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]},{"raw_affiliation_string":"International Graduate School of Dynamic Intelligent Systems,","institution_ids":["https://openalex.org/I4210140143"]},{"raw_affiliation_string":"Faculty of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, Paderborn, Germany and International Graduate School of Dynamic Intelligent Systems#TAB#","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086678348","display_name":"Burkhard Monien","orcid":"https://orcid.org/0000-0003-2334-6795"},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Burkhard Monien","raw_affiliation_strings":["Faculty of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, F\u00fcrstenallee 11, 33102 Paderborn, Germany","Faculty of Computer Science, Electrical Engineering, and Mathematics, University of Paderborn, Paderborn, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, F\u00fcrstenallee 11, 33102 Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]},{"raw_affiliation_string":"Faculty of Computer Science, Electrical Engineering, and Mathematics, University of Paderborn, Paderborn, Germany#TAB#","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067160468","display_name":"Florian Schoppmann","orcid":null},"institutions":[{"id":"https://openalex.org/I4210140143","display_name":"Dynamic Systems (United States)","ror":"https://ror.org/043vm9914","country_code":"US","type":"company","lineage":["https://openalex.org/I4210140143"]},{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE","US"],"is_corresponding":false,"raw_author_name":"Florian Schoppmann","raw_affiliation_strings":["Faculty of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, F\u00fcrstenallee 11, 33102 Paderborn, Germany","International Graduate School of Dynamic Intelligent Systems,","Faculty of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, Paderborn, Germany and International Graduate School of Dynamic Intelligent Systems#TAB#"],"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, F\u00fcrstenallee 11, 33102 Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]},{"raw_affiliation_string":"International Graduate School of Dynamic Intelligent Systems,","institution_ids":["https://openalex.org/I4210140143"]},{"raw_affiliation_string":"Faculty of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, Paderborn, Germany and International Graduate School of Dynamic Intelligent Systems#TAB#","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004496137","display_name":"Karsten Tiemann","orcid":null},"institutions":[{"id":"https://openalex.org/I4210140143","display_name":"Dynamic Systems (United States)","ror":"https://ror.org/043vm9914","country_code":"US","type":"company","lineage":["https://openalex.org/I4210140143"]},{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE","US"],"is_corresponding":false,"raw_author_name":"Karsten Tiemann","raw_affiliation_strings":["Faculty of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, F\u00fcrstenallee 11, 33102 Paderborn, Germany","International Graduate School of Dynamic Intelligent Systems,","Faculty of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, Paderborn, Germany and International Graduate School of Dynamic Intelligent Systems#TAB#"],"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, F\u00fcrstenallee 11, 33102 Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]},{"raw_affiliation_string":"International Graduate School of Dynamic Intelligent Systems,","institution_ids":["https://openalex.org/I4210140143"]},{"raw_affiliation_string":"Faculty of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, Paderborn, Germany and International Graduate School of Dynamic Intelligent Systems#TAB#","institution_ids":["https://openalex.org/I206945453"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5060811655"],"corresponding_institution_ids":["https://openalex.org/I206945453","https://openalex.org/I4210140143"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.0449,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.92845118,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"657","last_page":"668"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11182","display_name":"Auction Theory and Applications","score":0.9997000098228455,"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":0.9997000098228455,"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/T12137","display_name":"Economic theories and models","score":0.9980999827384949,"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/T11437","display_name":"Digital Platforms and Economics","score":0.9912999868392944,"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/submodular-set-function","display_name":"Submodular set function","score":0.9510103464126587},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7020351886749268},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5823193788528442},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.5508683323860168},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5076233148574829},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5007410049438477},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4864068031311035},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.44742706418037415},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.43787163496017456},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.426291286945343},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.3471585512161255},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.24817350506782532},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22315692901611328},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.1502467393875122},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.091799795627594},{"id":"https://openalex.org/keywords/finance","display_name":"Finance","score":0.07908225059509277}],"concepts":[{"id":"https://openalex.org/C178621042","wikidata":"https://www.wikidata.org/wiki/Q7631710","display_name":"Submodular set function","level":2,"score":0.9510103464126587},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7020351886749268},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5823193788528442},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.5508683323860168},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5076233148574829},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5007410049438477},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4864068031311035},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.44742706418037415},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.43787163496017456},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.426291286945343},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.3471585512161255},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.24817350506782532},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22315692901611328},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.1502467393875122},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.091799795627594},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.07908225059509277},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-74456-6_58","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-74456-6_58","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1483043984","https://openalex.org/W1501718224","https://openalex.org/W1574583774","https://openalex.org/W1589421353","https://openalex.org/W1592626066","https://openalex.org/W1599622173","https://openalex.org/W1714644883","https://openalex.org/W1990199392","https://openalex.org/W1990313671","https://openalex.org/W2012634103","https://openalex.org/W2020931019","https://openalex.org/W2036569687","https://openalex.org/W2038644905","https://openalex.org/W2045287955","https://openalex.org/W2069744744","https://openalex.org/W2104680817","https://openalex.org/W2111072608","https://openalex.org/W2115490387","https://openalex.org/W2146766934","https://openalex.org/W2155019050","https://openalex.org/W2178864388","https://openalex.org/W2525280888","https://openalex.org/W2621312118","https://openalex.org/W2625256146","https://openalex.org/W4235362699"],"related_works":["https://openalex.org/W1595919516","https://openalex.org/W2945022594","https://openalex.org/W2966531942","https://openalex.org/W2194604332","https://openalex.org/W4379619607","https://openalex.org/W4386185001","https://openalex.org/W4236048596","https://openalex.org/W2132766576","https://openalex.org/W2096782225","https://openalex.org/W2102099143"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}