{"id":"https://openalex.org/W2063877901","doi":"https://doi.org/10.1007/s00355-011-0608-4","title":"Probabilistic spatial power indexes","display_name":"Probabilistic spatial power indexes","publication_year":2011,"publication_date":"2011-10-13","ids":{"openalex":"https://openalex.org/W2063877901","doi":"https://doi.org/10.1007/s00355-011-0608-4","mag":"2063877901"},"language":"en","primary_location":{"id":"doi:10.1007/s00355-011-0608-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00355-011-0608-4","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":null,"license_id":null,"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":"green","oa_url":"http://hdl.handle.net/10281/34020","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016272288","display_name":"Stefano Benati","orcid":"https://orcid.org/0000-0002-1928-5224"},"institutions":[{"id":"https://openalex.org/I193223587","display_name":"University of Trento","ror":"https://ror.org/05trd4x28","country_code":"IT","type":"education","lineage":["https://openalex.org/I193223587"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Stefano Benati","raw_affiliation_strings":["Department of Sociology, University of Trento, Trento, Italy","Department of Sociology, University of Trento, Via Verdi 26, 38122, Trento, Italy","University of Trento"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Sociology, University of Trento, Trento, Italy","institution_ids":["https://openalex.org/I193223587"]},{"raw_affiliation_string":"Department of Sociology, University of Trento, Via Verdi 26, 38122, Trento, Italy","institution_ids":["https://openalex.org/I193223587"]},{"raw_affiliation_string":"University of Trento","institution_ids":["https://openalex.org/I193223587"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052724058","display_name":"Giuseppe Vittucci Marzetti","orcid":"https://orcid.org/0000-0003-3093-8000"},"institutions":[{"id":"https://openalex.org/I66752286","display_name":"University of Milano-Bicocca","ror":"https://ror.org/01ynf4891","country_code":"IT","type":"education","lineage":["https://openalex.org/I66752286"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giuseppe Vittucci Marzetti","raw_affiliation_strings":["Department of Sociology and Social Research, University of Milano-Bicocca, Via Bicocca degli Arcimboldi 8, 20126, Milan, Italy","University of Milano-Bicocca"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Sociology and Social Research, University of Milano-Bicocca, Via Bicocca degli Arcimboldi 8, 20126, Milan, Italy","institution_ids":["https://openalex.org/I66752286"]},{"raw_affiliation_string":"University of Milano-Bicocca","institution_ids":["https://openalex.org/I66752286"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5016272288"],"corresponding_institution_ids":["https://openalex.org/I193223587"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.2357,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.93694387,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"40","issue":"2","first_page":"391","last_page":"410"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9998000264167786,"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":0.9998000264167786,"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/T10841","display_name":"Economic and Environmental Valuation","score":0.9865000247955322,"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/T10108","display_name":"Electoral Systems and Political Participation","score":0.9853000044822693,"subfield":{"id":"https://openalex.org/subfields/3320","display_name":"Political Science and International Relations"},"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/shapley-value","display_name":"Shapley value","score":0.65090012550354},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5800131559371948},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5710014700889587},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5414595007896423},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.5266808271408081},{"id":"https://openalex.org/keywords/valuation","display_name":"Valuation (finance)","score":0.5083546042442322},{"id":"https://openalex.org/keywords/public-finance","display_name":"Public finance","score":0.4935837984085083},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.4713572859764099},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.47088465094566345},{"id":"https://openalex.org/keywords/power-index","display_name":"Power index","score":0.442655086517334},{"id":"https://openalex.org/keywords/treaty","display_name":"Treaty","score":0.4361397922039032},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.4232182502746582},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3889613747596741},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.23501592874526978},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.2058487832546234},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.13895681500434875},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.10177367925643921},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.10008981823921204}],"concepts":[{"id":"https://openalex.org/C199022921","wikidata":"https://www.wikidata.org/wiki/Q240046","display_name":"Shapley value","level":3,"score":0.65090012550354},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5800131559371948},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5710014700889587},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5414595007896423},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.5266808271408081},{"id":"https://openalex.org/C186027771","wikidata":"https://www.wikidata.org/wiki/Q4008379","display_name":"Valuation (finance)","level":2,"score":0.5083546042442322},{"id":"https://openalex.org/C178283979","wikidata":"https://www.wikidata.org/wiki/Q274490","display_name":"Public finance","level":2,"score":0.4935837984085083},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.4713572859764099},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.47088465094566345},{"id":"https://openalex.org/C3018596841","wikidata":"https://www.wikidata.org/wiki/Q7236523","display_name":"Power index","level":2,"score":0.442655086517334},{"id":"https://openalex.org/C2779010840","wikidata":"https://www.wikidata.org/wiki/Q131569","display_name":"Treaty","level":2,"score":0.4361397922039032},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.4232182502746582},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3889613747596741},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.23501592874526978},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.2058487832546234},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.13895681500434875},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.10177367925643921},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.10008981823921204},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00355-011-0608-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00355-011-0608-4","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Social Choice and Welfare","raw_type":"journal-article"},{"id":"pmh:oai:boa.unimib.it:10281/34020","is_oa":true,"landing_page_url":"http://hdl.handle.net/10281/34020","pdf_url":"http://hdl.handle.net/10281/34020","source":{"id":"https://openalex.org/S4306401259","display_name":"BOA (University of Milano-Bicocca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:RePEc:spr:sochwe:v:40:y:2013:i:2:p:391-410","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s00355-011-0608-4","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:iris.unitn.it:11572/93640","is_oa":false,"landing_page_url":"http://www.springerlink.com.ezp.biblio.unitn.it/content/6426773562t22851/fulltext.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306401913","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Trento)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193223587","host_organization_name":"University of Trento","host_organization_lineage":["https://openalex.org/I193223587"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:boa.unimib.it:10281/34020","is_oa":true,"landing_page_url":"http://hdl.handle.net/10281/34020","pdf_url":"http://hdl.handle.net/10281/34020","source":{"id":"https://openalex.org/S4306401259","display_name":"BOA (University of Milano-Bicocca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2063877901.pdf","grobid_xml":"https://content.openalex.org/works/W2063877901.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W223708877","https://openalex.org/W1544729927","https://openalex.org/W1562353621","https://openalex.org/W1593575857","https://openalex.org/W1598132479","https://openalex.org/W1979258712","https://openalex.org/W1994793992","https://openalex.org/W1999983866","https://openalex.org/W2002616065","https://openalex.org/W2004477315","https://openalex.org/W2007421767","https://openalex.org/W2016890344","https://openalex.org/W2029558281","https://openalex.org/W2043059238","https://openalex.org/W2062407068","https://openalex.org/W2068895800","https://openalex.org/W2069063621","https://openalex.org/W2071242637","https://openalex.org/W2095884585","https://openalex.org/W2125926760","https://openalex.org/W2134063650","https://openalex.org/W2134145060","https://openalex.org/W2135467388","https://openalex.org/W2144955260","https://openalex.org/W2150334392","https://openalex.org/W2159171515","https://openalex.org/W2180101051","https://openalex.org/W2208496351","https://openalex.org/W2259808229","https://openalex.org/W2326239417","https://openalex.org/W2574242382","https://openalex.org/W2795771040","https://openalex.org/W3122480604","https://openalex.org/W3123655435","https://openalex.org/W3124121752","https://openalex.org/W3125897218","https://openalex.org/W4232841423","https://openalex.org/W4237324132","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4249226508","https://openalex.org/W2380202880","https://openalex.org/W4233790924","https://openalex.org/W4256656994","https://openalex.org/W2885187933","https://openalex.org/W2261574202","https://openalex.org/W800307824","https://openalex.org/W2014844078","https://openalex.org/W2951270355","https://openalex.org/W2260988575"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-19T17:40:00.097472","created_date":"2025-10-10T00:00:00"}