{"id":"https://openalex.org/W4281488388","doi":"https://doi.org/10.1007/s00355-022-01414-6","title":"The average-of-awards rule for claims problems","display_name":"The average-of-awards rule for claims problems","publication_year":2022,"publication_date":"2022-05-25","ids":{"openalex":"https://openalex.org/W4281488388","doi":"https://doi.org/10.1007/s00355-022-01414-6"},"language":"en","primary_location":{"id":"doi:10.1007/s00355-022-01414-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00355-022-01414-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00355-022-01414-6.pdf","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://link.springer.com/content/pdf/10.1007/s00355-022-01414-6.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091006241","display_name":"Miguel \u00c1ngel Mir\u00e1s Calvo","orcid":"https://orcid.org/0000-0001-7247-1926"},"institutions":[{"id":"https://openalex.org/I6289922","display_name":"Universidade de Vigo","ror":"https://ror.org/05rdf8595","country_code":"ES","type":"education","lineage":["https://openalex.org/I6289922"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Miguel \u00c1ngel Mir\u00e1s Calvo","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Universidade de Vigo, RGEAF, 36310, Vigo, Spain"],"raw_orcid":"https://orcid.org/0000-0001-7247-1926","affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Universidade de Vigo, RGEAF, 36310, Vigo, Spain","institution_ids":["https://openalex.org/I6289922"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036881100","display_name":"Carmen Quinteiro Sandomingo","orcid":"https://orcid.org/0000-0002-2711-1945"},"institutions":[{"id":"https://openalex.org/I6289922","display_name":"Universidade de Vigo","ror":"https://ror.org/05rdf8595","country_code":"ES","type":"education","lineage":["https://openalex.org/I6289922"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Carmen Quinteiro Sandomingo","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Universidade de Vigo, 36310, Vigo, Spain"],"raw_orcid":"https://orcid.org/0000-0002-2711-1945","affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Universidade de Vigo, 36310, Vigo, Spain","institution_ids":["https://openalex.org/I6289922"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045667096","display_name":"Estela S\u00e1nchez-Rodr\u00edguez","orcid":"https://orcid.org/0000-0002-0933-6411"},"institutions":[{"id":"https://openalex.org/I6289922","display_name":"Universidade de Vigo","ror":"https://ror.org/05rdf8595","country_code":"ES","type":"education","lineage":["https://openalex.org/I6289922"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Estela S\u00e1nchez-Rodr\u00edguez","raw_affiliation_strings":["Departamento de Estat\u00edstica e Investigaci\u00f3n Operativa, CINBIO, Universidade de Vigo, SIDOR, 36310, Vigo, Spain"],"raw_orcid":"https://orcid.org/0000-0002-0933-6411","affiliations":[{"raw_affiliation_string":"Departamento de Estat\u00edstica e Investigaci\u00f3n Operativa, CINBIO, Universidade de Vigo, SIDOR, 36310, Vigo, Spain","institution_ids":["https://openalex.org/I6289922"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5045667096"],"corresponding_institution_ids":["https://openalex.org/I6289922"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":1.9196,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.89735938,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"59","issue":"4","first_page":"863","last_page":"888"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9983999729156494,"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"}},"topics":[{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9983999729156494,"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/T11182","display_name":"Auction Theory and Applications","score":0.9865999817848206,"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/T10927","display_name":"Access Control and Trust","score":0.9560999870300293,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/center","display_name":"Center (category theory)","score":0.5526406168937683},{"id":"https://openalex.org/keywords/core","display_name":"Core (optical fiber)","score":0.5261068940162659},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43632251024246216},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42959973216056824},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4161078631877899},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40999269485473633},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4071768522262573},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3428933620452881},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33306625485420227},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.28394001722335815},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.06175452470779419}],"concepts":[{"id":"https://openalex.org/C2779463800","wikidata":"https://www.wikidata.org/wiki/Q5062222","display_name":"Center (category theory)","level":2,"score":0.5526406168937683},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.5261068940162659},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43632251024246216},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42959973216056824},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4161078631877899},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40999269485473633},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4071768522262573},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3428933620452881},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33306625485420227},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.28394001722335815},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.06175452470779419},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","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/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00355-022-01414-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00355-022-01414-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00355-022-01414-6.pdf","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:RePEc:spr:sochwe:v:59:y:2022:i:4:d:10.1007_s00355-022-01414-6","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s00355-022-01414-6","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:www.investigo.biblioteca.uvigo.es:11093/4121","is_oa":true,"landing_page_url":"http://hdl.handle.net/11093/4121","pdf_url":null,"source":{"id":"https://openalex.org/S4377196408","display_name":"Investigo Institutional repository of UVigo (Universidade de Vigo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I6289922","host_organization_name":"Universidade de Vigo","host_organization_lineage":["https://openalex.org/I6289922"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s00355-022-01414-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00355-022-01414-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00355-022-01414-6.pdf","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":[{"id":"https://openalex.org/G1271764498","display_name":null,"funder_award_id":"MTM2017-87197-C3-2-P","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G1897210940","display_name":null,"funder_award_id":"PID2019-106281GB-I00","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G3971064876","display_name":null,"funder_award_id":"MTM2017-87197-C3-2-P","funder_id":"https://openalex.org/F4320326262","funder_display_name":"Ministerio de Asuntos Econ\u00f3micos y Transformaci\u00f3n Digital, Gobierno de Espa\u00f1a"},{"id":"https://openalex.org/G5555131222","display_name":null,"funder_award_id":"PID2019","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G8684520763","display_name":null,"funder_award_id":"PID2019","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320315062","display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","ror":null},{"id":"https://openalex.org/F4320324091","display_name":"Universidade de Vigo","ror":"https://ror.org/05rdf8595"},{"id":"https://openalex.org/F4320326262","display_name":"Ministerio de Asuntos Econ\u00f3micos y Transformaci\u00f3n Digital, Gobierno de Espa\u00f1a","ror":"https://ror.org/03sv46s19"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4281488388.pdf","grobid_xml":"https://content.openalex.org/works/W4281488388.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1986698569","https://openalex.org/W1989936306","https://openalex.org/W2001071031","https://openalex.org/W2034122688","https://openalex.org/W2053195770","https://openalex.org/W2086909340","https://openalex.org/W2092123041","https://openalex.org/W2094005555","https://openalex.org/W2112418544","https://openalex.org/W2125363721","https://openalex.org/W2165180095","https://openalex.org/W2381881726","https://openalex.org/W2546929705","https://openalex.org/W2967320507","https://openalex.org/W3118264740","https://openalex.org/W3125242954","https://openalex.org/W4220736998","https://openalex.org/W4281488388","https://openalex.org/W4399584726"],"related_works":["https://openalex.org/W2065091555","https://openalex.org/W2371189778","https://openalex.org/W1573667629","https://openalex.org/W654422885","https://openalex.org/W4245286412","https://openalex.org/W4288089942","https://openalex.org/W2936184115","https://openalex.org/W2095530470","https://openalex.org/W2081981665","https://openalex.org/W1543591978"],"abstract_inverted_index":{"Abstract":[0],"Given":[1],"a":[2,48,63,92],"claims":[3,49],"problem,":[4,50],"the":[5,15,19,23,35,40,43,55,74,85,100,104],"average-of-awards":[6],"rule":[7,33,61,90],"(":[8],"$${\\text":[9,29,86],"{AA}}$$":[10,30,87],"<mml:math":[11,31,88],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mtext>AA</mml:mtext></mml:math>":[12,32,89],")":[13],"selects":[14],"expected":[16],"value":[17],"of":[18,25,37,39,42,66,76,84,99],"uniform":[20],"distribution":[21],"over":[22],"set":[24],"awards":[26],"vectors.":[27],"The":[28],"is":[34],"center":[36],"gravity":[38],"core":[41],"coalitional":[44],"game":[45],"associated":[46],"with":[47],"so":[51,68],"it":[52,96],"corresponds":[53],"to":[54,70,94],"core-center.":[56],"We":[57,79],"show":[58],"that":[59,102],"this":[60],"satisfies":[62],"good":[64],"number":[65],"properties":[67],"as":[69],"be":[71],"included":[72],"in":[73,97],"inventory":[75],"division":[77],"rules.":[78],"also":[80],"provide":[81],"several":[82],"representations":[83],"and":[91],"procedure":[93],"compute":[95],"terms":[98],"parameters":[101],"define":[103],"problem.":[105]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-05-26T00:00:00"}