{"id":"https://openalex.org/W2030626382","doi":"https://doi.org/10.1007/s00355-016-1008-6","title":"Characterizing implementable allocation rules in multi-dimensional environments","display_name":"Characterizing implementable allocation rules in multi-dimensional environments","publication_year":2016,"publication_date":"2016-12-05","ids":{"openalex":"https://openalex.org/W2030626382","doi":"https://doi.org/10.1007/s00355-016-1008-6","mag":"2030626382"},"language":"en","primary_location":{"id":"doi:10.1007/s00355-016-1008-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00355-016-1008-6","pdf_url":null,"source":{"id":"https://openalex.org/S107325288","display_name":"Social Choice and Welfare","issn_l":"0176-1714","issn":["0176-1714","1432-217X"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Social Choice and Welfare","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1007/s00355-016-1008-6","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075001728","display_name":"Andr\u00e9 Berger","orcid":"https://orcid.org/0000-0002-6409-1963"},"institutions":[{"id":"https://openalex.org/I34352273","display_name":"Maastricht University","ror":"https://ror.org/02jz4aj89","country_code":"NL","type":"education","lineage":["https://openalex.org/I34352273"]},{"id":"https://openalex.org/I4210129476","display_name":"Institute of Quantitative and Technical Economics","ror":"https://ror.org/02nf1ky18","country_code":"CN","type":"facility","lineage":["https://openalex.org/I114218197","https://openalex.org/I4210129476"]}],"countries":["CN","NL"],"is_corresponding":true,"raw_author_name":"Andr\u00e9 Berger","raw_affiliation_strings":["Department of Quantitative Economics, Maastricht University, PO Box 616, 6200 MD, Maastricht, Netherlands","Quantitative Economics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Quantitative Economics, Maastricht University, PO Box 616, 6200 MD, Maastricht, Netherlands","institution_ids":["https://openalex.org/I34352273"]},{"raw_affiliation_string":"Quantitative Economics","institution_ids":["https://openalex.org/I4210129476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113493367","display_name":"Rudolf M\u00fcller","orcid":"https://orcid.org/0000-0002-4089-290X"},"institutions":[{"id":"https://openalex.org/I34352273","display_name":"Maastricht University","ror":"https://ror.org/02jz4aj89","country_code":"NL","type":"education","lineage":["https://openalex.org/I34352273"]},{"id":"https://openalex.org/I4210129476","display_name":"Institute of Quantitative and Technical Economics","ror":"https://ror.org/02nf1ky18","country_code":"CN","type":"facility","lineage":["https://openalex.org/I114218197","https://openalex.org/I4210129476"]}],"countries":["CN","NL"],"is_corresponding":false,"raw_author_name":"Rudolf M\u00fcller","raw_affiliation_strings":["Department of Quantitative Economics, Maastricht University, PO Box 616, 6200 MD, Maastricht, Netherlands","Quantitative Economics"],"raw_orcid":"https://orcid.org/0000-0002-4089-290X","affiliations":[{"raw_affiliation_string":"Department of Quantitative Economics, Maastricht University, PO Box 616, 6200 MD, Maastricht, Netherlands","institution_ids":["https://openalex.org/I34352273"]},{"raw_affiliation_string":"Quantitative Economics","institution_ids":["https://openalex.org/I4210129476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013298097","display_name":"Seyed Hossein Naeemi","orcid":null},"institutions":[{"id":"https://openalex.org/I34352273","display_name":"Maastricht University","ror":"https://ror.org/02jz4aj89","country_code":"NL","type":"education","lineage":["https://openalex.org/I34352273"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Seyed Hossein Naeemi","raw_affiliation_strings":["Department of Quantitative Economics, Maastricht University, PO Box 616, 6200 MD, Maastricht, Netherlands","Maastricht Univ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Quantitative Economics, Maastricht University, PO Box 616, 6200 MD, Maastricht, Netherlands","institution_ids":["https://openalex.org/I34352273"]},{"raw_affiliation_string":"Maastricht Univ","institution_ids":["https://openalex.org/I34352273"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5075001728"],"corresponding_institution_ids":["https://openalex.org/I34352273","https://openalex.org/I4210129476"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":1.1187,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.80959097,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"48","issue":"2","first_page":"367","last_page":"383"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11182","display_name":"Auction Theory and Applications","score":0.9993000030517578,"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":0.9993000030517578,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.9970999956130981,"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/T11762","display_name":"Law, Economics, and Judicial Systems","score":0.9921000003814697,"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/valuation","display_name":"Valuation (finance)","score":0.7511409521102905},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.7365121841430664},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.5981150269508362},{"id":"https://openalex.org/keywords/outcome","display_name":"Outcome (game theory)","score":0.5752972364425659},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5595526099205017},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.527951180934906},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4882378876209259},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47740402817726135},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4616703987121582},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4428207278251648},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3787393569946289},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36048072576522827},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.13441863656044006}],"concepts":[{"id":"https://openalex.org/C186027771","wikidata":"https://www.wikidata.org/wiki/Q4008379","display_name":"Valuation (finance)","level":2,"score":0.7511409521102905},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.7365121841430664},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.5981150269508362},{"id":"https://openalex.org/C148220186","wikidata":"https://www.wikidata.org/wiki/Q7111912","display_name":"Outcome (game theory)","level":2,"score":0.5752972364425659},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5595526099205017},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.527951180934906},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4882378876209259},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47740402817726135},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4616703987121582},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4428207278251648},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3787393569946289},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36048072576522827},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.13441863656044006},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s00355-016-1008-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00355-016-1008-6","pdf_url":null,"source":{"id":"https://openalex.org/S107325288","display_name":"Social Choice and Welfare","issn_l":"0176-1714","issn":["0176-1714","1432-217X"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Social Choice and Welfare","raw_type":"journal-article"},{"id":"pmh:oai:cris.maastrichtuniversity.nl:openaire/dca429e7-905f-4dce-9311-e8c6d4fa389f","is_oa":true,"landing_page_url":"https://cris.maastrichtuniversity.nl/en/publications/dca429e7-905f-4dce-9311-e8c6d4fa389f","pdf_url":null,"source":{"id":"https://openalex.org/S4306402616","display_name":"Research Publications (Maastricht University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I34352273","host_organization_name":"Maastricht University","host_organization_lineage":["https://openalex.org/I34352273"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Berger, A, Muller, R & Naeemi, S H 2017, 'Characterizing Implementable Allocation Rules in Multi-dimensional Environments', Social Choice and Welfare, vol. 48, no. 2, pp. 367-383. https://doi.org/10.1007/s00355-016-1008-6","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"mag:2563473945","is_oa":false,"landing_page_url":"https://EconPapers.repec.org/RePEc:unm:umagsb:2014021","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":"RePEc: Research Papers in Economics","raw_type":null},{"id":"pmh:oai:RePEc:spr:sochwe:v:48:y:2017:i:2:d:10.1007_s00355-016-1008-6","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s00355-016-1008-6","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:cris.maastrichtuniversity.nl:publications/2cdf9b32-434c-483a-8f29-c32b01432f0c","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402616","display_name":"Research Publications (Maastricht University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I34352273","host_organization_name":"Maastricht University","host_organization_lineage":["https://openalex.org/I34352273"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:um:oai:cris.maastrichtuniversity.nl:publications/f5842a5c-24ff-4e5c-a9c3-79b3ee7cdbdf","is_oa":false,"landing_page_url":"https://cris.maastrichtuniversity.nl/portal/en/publications/characterizing-implementable-allocation-rules-in-multidimensional-environments(f5842a5c-24ff-4e5c-a9c3-79b3ee7cdbdf).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Social Choice and Welfare, 48(2), 367 - 383","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s00355-016-1008-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00355-016-1008-6","pdf_url":null,"source":{"id":"https://openalex.org/S107325288","display_name":"Social Choice and Welfare","issn_l":"0176-1714","issn":["0176-1714","1432-217X"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Social Choice and Welfare","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W199150203","https://openalex.org/W655257519","https://openalex.org/W1489626346","https://openalex.org/W1497842594","https://openalex.org/W1651216127","https://openalex.org/W1989792334","https://openalex.org/W2002809076","https://openalex.org/W2016245783","https://openalex.org/W2029050771","https://openalex.org/W2037745646","https://openalex.org/W2050645438","https://openalex.org/W2057857467","https://openalex.org/W2077440772","https://openalex.org/W2088546345","https://openalex.org/W2113991325","https://openalex.org/W2127238399","https://openalex.org/W2129462326","https://openalex.org/W2138637196","https://openalex.org/W2140031867","https://openalex.org/W2148268719","https://openalex.org/W2156477104","https://openalex.org/W2181756129","https://openalex.org/W2229124382","https://openalex.org/W3122612977","https://openalex.org/W3125305924","https://openalex.org/W4245427568","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4380682190","https://openalex.org/W3107994849","https://openalex.org/W4315701745","https://openalex.org/W2978999882","https://openalex.org/W1990290471","https://openalex.org/W2945307361","https://openalex.org/W2102386043","https://openalex.org/W3123414722","https://openalex.org/W2058771134","https://openalex.org/W2894130971"],"abstract_inverted_index":{"We":[0],"study":[1],"characterizations":[2],"of":[3,45,74,81,101,141,155,167],"implementable":[4,61,68,89,96],"allocation":[5,58],"rules":[6,59],"when":[7,173],"types":[8,46,158],"are":[9,13,47,60,67,88,95,159,177],"multi-dimensional,":[10],"monetary":[11],"transfers":[12],"allowed,":[14],"and":[15,22,63,83,91,112,136,172],"agents":[16],"have":[17],"quasi-linear":[18],"preferences":[19],"over":[20],"outcomes":[21,82,169,176],"transfers.":[23],"Every":[24],"outcome":[25],"is":[26,154,170],"associated":[27],"with":[28,127],"a":[29,107,138],"valuation":[30,85,129,134],"function":[31],"that":[32,57],"maps":[33],"an":[34],"agent\u2019s":[35],"type":[36,76,103],"to":[37,49,131],"his":[38],"value":[39],"for":[40,117,175],"this":[41],"outcome.":[42],"The":[43],"set":[44,166],"assumed":[48],"be":[50],"convex.":[51],"Our":[52],"main":[53],"characterization":[54,108],"theorem":[55],"shows":[56],"if":[62,65,90,93],"only":[64,92],"they":[66,87,94],"on":[69,97,119],"any":[70],"two-dimensional":[71],"convex":[72,120],"subset":[73,100],"the":[75,102,148,165],"set.":[77,104],"For":[78],"finite":[79],"sets":[80],"continuous":[84,133],"functions,":[86,135],"every":[98],"one-dimensional":[99],"This":[105],"extends":[106],"result":[109],"by":[110,161],"Saks":[111],"Yu":[113],"(Weak":[114],"monotonicity":[115],"suffices":[116],"truthfulness":[118],"domains,":[121],"pp":[122],"286\u2013293,":[123],"2005)":[124],"from":[125],"models":[126],"linear":[128],"functions":[130,179],"arbitrary":[132],"provides":[137],"simple":[139],"proof":[140],"their":[142],"result.":[143],"Modeling":[144],"multi-dimensional":[145],"mechanism":[146],"design":[147],"way":[149],"we":[150],"propose":[151],"it":[152],"here":[153],"relevance":[156],"whenever":[157],"given":[160],"few":[162],"parameters,":[163],"while":[164],"possible":[168],"large,":[171],"values":[174],"non-linear":[178],"in":[180],"types.":[181]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}