{"id":"https://openalex.org/W4303614061","doi":"https://doi.org/10.3390/axioms11100518","title":"Logic, Game Theory, and Social Choice: What Do They Have in Common?","display_name":"Logic, Game Theory, and Social Choice: What Do They Have in Common?","publication_year":2022,"publication_date":"2022-09-30","ids":{"openalex":"https://openalex.org/W4303614061","doi":"https://doi.org/10.3390/axioms11100518"},"language":"en","primary_location":{"id":"doi:10.3390/axioms11100518","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11100518","pdf_url":"https://www.mdpi.com/2075-1680/11/10/518/pdf?version=1666760863","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/11/10/518/pdf?version=1666760863","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013431691","display_name":"H.C.M. de Swart","orcid":"https://orcid.org/0000-0001-6172-676X"},"institutions":[{"id":"https://openalex.org/I193700539","display_name":"Tilburg University","ror":"https://ror.org/04b8v1s79","country_code":"NL","type":"education","lineage":["https://openalex.org/I193700539"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Harrie de Swart","raw_affiliation_strings":["Department of Philosophy, Tilburg University, 5000 LE Tilburg, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Philosophy, Tilburg University, 5000 LE Tilburg, The Netherlands","institution_ids":["https://openalex.org/I193700539"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5013431691"],"corresponding_institution_ids":["https://openalex.org/I193700539"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.25349236,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":"10","first_page":"518","last_page":"518"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9998999834060669,"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":0.9998999834060669,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9833999872207642,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9729999899864197,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/peano-axioms","display_name":"Peano axioms","score":0.8910176753997803},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.7107676863670349},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6482671499252319},{"id":"https://openalex.org/keywords/axiomatic-system","display_name":"Axiomatic system","score":0.5261844396591187},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5050778985023499},{"id":"https://openalex.org/keywords/social-choice-theory","display_name":"Social choice theory","score":0.5016937255859375},{"id":"https://openalex.org/keywords/arrows-impossibility-theorem","display_name":"Arrow's impossibility theorem","score":0.48441463708877563},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40954017639160156}],"concepts":[{"id":"https://openalex.org/C97489613","wikidata":"https://www.wikidata.org/wiki/Q842755","display_name":"Peano axioms","level":2,"score":0.8910176753997803},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.7107676863670349},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6482671499252319},{"id":"https://openalex.org/C125773388","wikidata":"https://www.wikidata.org/wiki/Q792542","display_name":"Axiomatic system","level":3,"score":0.5261844396591187},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5050778985023499},{"id":"https://openalex.org/C189352744","wikidata":"https://www.wikidata.org/wiki/Q1971461","display_name":"Social choice theory","level":2,"score":0.5016937255859375},{"id":"https://openalex.org/C142696051","wikidata":"https://www.wikidata.org/wiki/Q33481","display_name":"Arrow's impossibility theorem","level":3,"score":0.48441463708877563},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40954017639160156},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms11100518","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11100518","pdf_url":"https://www.mdpi.com/2075-1680/11/10/518/pdf?version=1666760863","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:51bfdb5f3c064ec5aba424e0b6eaaacb","is_oa":true,"landing_page_url":"https://doaj.org/article/51bfdb5f3c064ec5aba424e0b6eaaacb","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 11, Iss 10, p 518 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/11/10/518/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms11100518","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Axioms; Volume 11; Issue 10; Pages: 518","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms11100518","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11100518","pdf_url":"https://www.mdpi.com/2075-1680/11/10/518/pdf?version=1666760863","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.7400000095367432,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4303614061.pdf","grobid_xml":"https://content.openalex.org/works/W4303614061.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W1520009452","https://openalex.org/W1994897410","https://openalex.org/W2002616065","https://openalex.org/W2018430017","https://openalex.org/W2035743689","https://openalex.org/W2091346376","https://openalex.org/W2114990184","https://openalex.org/W2327081444","https://openalex.org/W2417977556"],"related_works":["https://openalex.org/W4323354904","https://openalex.org/W3123814442","https://openalex.org/W2993442435","https://openalex.org/W3021572853","https://openalex.org/W409433651","https://openalex.org/W2375826828","https://openalex.org/W2351185278","https://openalex.org/W4255069280","https://openalex.org/W4321602595","https://openalex.org/W2102338583"],"abstract_inverted_index":{"The":[0,30],"answer":[1],"to":[2,59,187],"the":[3,33,63,87,98,106,111,151,197,211,214],"question":[4,200],"above":[5],"is":[6,38,150],"that":[7,39,73,97,116,144,146,169,195],"in":[8,36,92,163,199],"all":[9,75],"these":[10],"domains":[11],"axiomatic":[12,135],"characterizations":[13,136],"are":[14,118,134],"given":[15,148],"of,":[16,173],"respectively,":[17],"mathematical":[18,40,57],"reasoning,":[19],"certain":[20,26,49,119,171],"notions":[21,205],"from":[22,86,130,206],"game":[23,207],"theory,":[24,208],"and":[25,52,65,108,141,213],"social":[27,139,164,182,192],"choice":[28,140,165],"rules.":[29,53],"meaning":[31],"of":[32,48,67,89,100,110,137,158,224],"completeness":[34],"theorem":[35,162],"logic":[37],"reasoning":[41,58],"can":[42,82],"be":[43,83,128,188,219],"characterized":[44,220],"by":[45,221],"a":[46,147,155,170,181,191,222],"handful":[47],"(logical)":[50],"axioms":[51,88,99,179,198],"If":[54],"we":[55],"apply":[56],"elementary":[60],"arithmetic,":[61],"i.e.,":[62],"addition":[64,107],"multiplication":[66,109],"natural":[68,112],"numbers,":[69,113],"it":[70],"turns":[71,185],"out":[72,186],"almost":[74],"true":[76],"arithmetical":[77,122],"statements,":[78],"for":[79,180],"instance,":[80],"\u2200x\u2200y[x+y=y+x],":[81],"logically":[84],"deduced":[85,129],"Peano.":[90],"However,":[91],"1931":[93],"Kurt":[94],"G\u0151del":[95],"showed":[96],"Peano":[101],"do":[102],"not":[103],"(fully)":[104],"characterize":[105],"more":[114],"precisely,":[115],"there":[117],"special":[120],"self-referential":[121],"sentences":[123],"that,":[124],"although":[125],"true,":[126],"cannot":[127,201],"Peano\u2019s":[131],"axioms.":[132,159,225],"There":[133],"several":[138],"ranking":[142,183,193],"rules":[143],"say":[145],"rule":[149,184,194],"only":[152],"one":[153],"satisfying":[154],"particular":[156],"set":[157,172,223],"Arrow\u2019s":[160],"impossibility":[161],"theory":[166],"tells":[167],"us":[168],"at":[174],"first":[175],"sight,":[176],"quite":[177],"reasonable":[178],"inconsistent.":[189],"Consequently,":[190],"satisfies":[196],"exist.":[202],"Finally,":[203],"many":[204],"such":[209],"as":[210],"Shapley\u2013Shubik":[212],"Banzhaf":[215],"index,":[216],"may":[217],"also":[218]},"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}