{"id":"https://openalex.org/W2778677255","doi":"https://doi.org/10.6092/issn.1972-5787/7235","title":"A Library for Algorithmic Game Theory in Ssreflect/Coq","display_name":"A Library for Algorithmic Game Theory in Ssreflect/Coq","publication_year":2017,"publication_date":"2017-09-05","ids":{"openalex":"https://openalex.org/W2778677255","doi":"https://doi.org/10.6092/issn.1972-5787/7235","mag":"2778677255"},"language":"en","primary_location":{"id":"pmh:oai:doaj.org/article:5e7a964144cd4970985e87ca4e5c166c","is_oa":true,"landing_page_url":"https://doaj.org/article/5e7a964144cd4970985e87ca4e5c166c","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Formalized Reasoning, Vol 10, Iss 1, Pp 67-95 (2017)","raw_type":"article"},"type":"article","indexed_in":["datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doaj.org/article/5e7a964144cd4970985e87ca4e5c166c","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043553230","display_name":"Alexander Bagnall","orcid":"https://orcid.org/0000-0001-6593-0661"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Bagnall, Alexander","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053054985","display_name":"Samuel Merten","orcid":"https://orcid.org/0000-0001-8763-0053"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Merten, Samuel","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5005561151","display_name":"Gordon Stewart","orcid":"https://orcid.org/0000-0003-0244-2980"},"institutions":[{"id":"https://openalex.org/I4210106879","display_name":"Ohio University","ror":"https://ror.org/01jr3y717","country_code":"US","type":"education","lineage":["https://openalex.org/I4210106879"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stewart, Gordon","raw_affiliation_strings":["Ohio Univ"],"affiliations":[{"raw_affiliation_string":"Ohio Univ","institution_ids":["https://openalex.org/I4210106879"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5043553230"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2271,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.58938605,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.9909999966621399,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9876000285148621,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.720415472984314},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.700727641582489},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.6388112902641296},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.619215190410614},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.613081157207489},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5866532921791077},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5605489015579224},{"id":"https://openalex.org/keywords/algorithmic-game-theory","display_name":"Algorithmic game theory","score":0.5451861619949341},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4592329263687134},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4543541669845581},{"id":"https://openalex.org/keywords/potential-game","display_name":"Potential game","score":0.42827847599983215},{"id":"https://openalex.org/keywords/normal-form-game","display_name":"Normal-form game","score":0.42298591136932373},{"id":"https://openalex.org/keywords/repeated-game","display_name":"Repeated game","score":0.3287428319454193},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32047295570373535},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25209784507751465},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.07052794098854065}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.720415472984314},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.700727641582489},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.6388112902641296},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.619215190410614},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.613081157207489},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5866532921791077},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5605489015579224},{"id":"https://openalex.org/C69663246","wikidata":"https://www.wikidata.org/wiki/Q623221","display_name":"Algorithmic game theory","level":4,"score":0.5451861619949341},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4592329263687134},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4543541669845581},{"id":"https://openalex.org/C2778079155","wikidata":"https://www.wikidata.org/wiki/Q288500","display_name":"Potential game","level":3,"score":0.42827847599983215},{"id":"https://openalex.org/C155930848","wikidata":"https://www.wikidata.org/wiki/Q1069099","display_name":"Normal-form game","level":4,"score":0.42298591136932373},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.3287428319454193},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32047295570373535},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25209784507751465},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07052794098854065},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:doaj.org/article:5e7a964144cd4970985e87ca4e5c166c","is_oa":true,"landing_page_url":"https://doaj.org/article/5e7a964144cd4970985e87ca4e5c166c","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Formalized Reasoning, Vol 10, Iss 1, Pp 67-95 (2017)","raw_type":"article"},{"id":"doi:10.6092/issn.1972-5787/7235","is_oa":true,"landing_page_url":"https://doi.org/10.6092/issn.1972-5787/7235","pdf_url":null,"source":{"id":"https://openalex.org/S7407050985","display_name":"Universit\u00e0 degli Studi di Bologna","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:doaj.org/article:5e7a964144cd4970985e87ca4e5c166c","is_oa":true,"landing_page_url":"https://doaj.org/article/5e7a964144cd4970985e87ca4e5c166c","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Formalized Reasoning, Vol 10, Iss 1, Pp 67-95 (2017)","raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3210899448","https://openalex.org/W2910530315","https://openalex.org/W4365460918","https://openalex.org/W4394872292","https://openalex.org/W4226246080","https://openalex.org/W1514842472","https://openalex.org/W1833660299","https://openalex.org/W2038156579","https://openalex.org/W2904794353","https://openalex.org/W2085538682"],"abstract_inverted_index":{"We":[0,46],"report":[1],"on":[2],"the":[3,48,63],"formalization":[4,49,92],"in":[5,70],"Ssreflect/Coq":[6],"of":[7,10,40,53,88],"a":[8],"number":[9],"concepts":[11,24],"and":[12,28,37,57,84],"results":[13],"from":[14],"algorithmic":[15],"game":[16],"theory,":[17],"including":[18],"potential":[19],"games,":[20,22],"smooth":[21],"solution":[23],"such":[25,42],"as":[26,43],"Pure":[27],"Mixed":[29],"Nash":[30],"Equilibria,":[31,34],"Coarse":[32],"Correlated":[33],"epsilon-approximate":[35],"equilibria,":[36],"behavioral":[38],"models":[39],"games":[41,80],"best-response":[44,60],"dynamics.":[45],"apply":[47],"to":[50],"prove":[51],"Price":[52,87],"Stability":[54],"bounds":[55],"for,":[56],"convergence":[58],"under":[59],"dynamics":[61],"of,":[62],"Atomic":[64],"Routing":[65],"game,":[66],"which":[67],"has":[68],"applications":[69],"computer":[71],"networking.":[72],"Our":[73,91],"second":[74],"application":[75],"proves":[76],"that":[77],"Affine":[78],"Congestion":[79],"are":[81],"(5/3,":[82],"1/3)-smooth,":[83],"therefore":[85],"have":[86],"Anarchy":[89],"5/2.":[90],"is":[93],"available":[94],"online.":[95]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T06:51:31.235846","created_date":"2025-10-10T00:00:00"}