{"id":"https://openalex.org/W3001890424","doi":"https://doi.org/10.1007/s00182-020-00707-3","title":"On the Sprague\u2013Grundy function of extensions of proper Nim","display_name":"On the Sprague\u2013Grundy function of extensions of proper Nim","publication_year":2020,"publication_date":"2020-01-21","ids":{"openalex":"https://openalex.org/W3001890424","doi":"https://doi.org/10.1007/s00182-020-00707-3","mag":"3001890424"},"language":"en","primary_location":{"id":"doi:10.1007/s00182-020-00707-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00182-020-00707-3","pdf_url":null,"source":{"id":"https://openalex.org/S132210109","display_name":"International Journal of Game Theory","issn_l":"0020-7276","issn":["0020-7276","1432-1270"],"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":"International Journal of Game Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057621825","display_name":"Endre Boros","orcid":"https://orcid.org/0000-0001-8206-3168"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Endre Boros","raw_affiliation_strings":["MSIS and RUTCOR, RBS, Rutgers University, 100 Rockafeller Road, Piscataway, NJ, 08854, USA"],"affiliations":[{"raw_affiliation_string":"MSIS and RUTCOR, RBS, Rutgers University, 100 Rockafeller Road, Piscataway, NJ, 08854, USA","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027250769","display_name":"Vladimir Gurvich","orcid":"https://orcid.org/0000-0002-8976-3527"},"institutions":[{"id":"https://openalex.org/I118501908","display_name":"National Research University Higher School of Economics","ror":"https://ror.org/055f7t516","country_code":"RU","type":"education","lineage":["https://openalex.org/I118501908"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Vladimir Gurvich","raw_affiliation_strings":["National Research University Higher School of Economics, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"National Research University Higher School of Economics, Moscow, Russia","institution_ids":["https://openalex.org/I118501908"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034387346","display_name":"Nhan Bao Ho","orcid":"https://orcid.org/0000-0002-6501-5495"},"institutions":[{"id":"https://openalex.org/I196829312","display_name":"La Trobe University","ror":"https://ror.org/01rxfrp27","country_code":"AU","type":"education","lineage":["https://openalex.org/I196829312"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Nhan Bao Ho","raw_affiliation_strings":["Department of Mathematics and Statistics, La Trobe University, Melbourne, 3086, Australia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, La Trobe University, Melbourne, 3086, Australia","institution_ids":["https://openalex.org/I196829312"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110768204","display_name":"Kazuhisa Makino","orcid":"https://orcid.org/0009-0000-9771-4955"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kazuhisa Makino","raw_affiliation_strings":["Research Institute for Mathematical Sciences (RIMS), Kyoto University, Kyoto, 606-8502, Japan"],"affiliations":[{"raw_affiliation_string":"Research Institute for Mathematical Sciences (RIMS), Kyoto University, Kyoto, 606-8502, Japan","institution_ids":["https://openalex.org/I22299242"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5034387346"],"corresponding_institution_ids":["https://openalex.org/I196829312"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.5487,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.72274805,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"50","issue":"3","first_page":"635","last_page":"654"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11574","display_name":"Artificial Intelligence in Games","score":0.9987999796867371,"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"}},"topics":[{"id":"https://openalex.org/T11574","display_name":"Artificial Intelligence in Games","score":0.9987999796867371,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9776999950408936,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9524999856948853,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.6019061803817749},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.601372241973877},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5517454147338867},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.49718669056892395},{"id":"https://openalex.org/keywords/combinatorial-game-theory","display_name":"Combinatorial game theory","score":0.4351175129413605},{"id":"https://openalex.org/keywords/sequential-game","display_name":"Sequential game","score":0.35762470960617065},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.34921321272850037},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33780574798583984},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33667024970054626}],"concepts":[{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.6019061803817749},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.601372241973877},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5517454147338867},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.49718669056892395},{"id":"https://openalex.org/C102234262","wikidata":"https://www.wikidata.org/wiki/Q1320931","display_name":"Combinatorial game theory","level":4,"score":0.4351175129413605},{"id":"https://openalex.org/C73795354","wikidata":"https://www.wikidata.org/wiki/Q287618","display_name":"Sequential game","level":3,"score":0.35762470960617065},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.34921321272850037},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33780574798583984},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33667024970054626},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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":3,"locations":[{"id":"doi:10.1007/s00182-020-00707-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00182-020-00707-3","pdf_url":null,"source":{"id":"https://openalex.org/S132210109","display_name":"International Journal of Game Theory","issn_l":"0020-7276","issn":["0020-7276","1432-1270"],"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":"International Journal of Game Theory","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jogath:v:50:y:2021:i:3:d:10.1007_s00182-020-00707-3","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s00182-020-00707-3","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:alma.01RUT_INST:11665011220004646","is_oa":false,"landing_page_url":"https://scholarship.libraries.rutgers.edu/esploro/outputs/journalArticle/On-the-SpragueGrundy-function-of-extensions/991031665880904646","pdf_url":null,"source":{"id":"https://openalex.org/S4210197018","display_name":"View","issn_l":"2688-268X","issn":["2688-268X","2688-3988"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Climate action","score":0.5,"id":"https://metadata.un.org/sdg/13"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1483954611","https://openalex.org/W1950715842","https://openalex.org/W1976534581","https://openalex.org/W2037000885","https://openalex.org/W2093573529","https://openalex.org/W2261622378","https://openalex.org/W2265499567","https://openalex.org/W2328338920","https://openalex.org/W2330301979","https://openalex.org/W2508891437","https://openalex.org/W2575545915","https://openalex.org/W2917125947","https://openalex.org/W2962794564","https://openalex.org/W2963653532","https://openalex.org/W2979157816","https://openalex.org/W3159034505","https://openalex.org/W4285719527","https://openalex.org/W6629212183"],"related_works":["https://openalex.org/W2071306797","https://openalex.org/W2414265698","https://openalex.org/W2030355453","https://openalex.org/W3125663232","https://openalex.org/W2119845623","https://openalex.org/W1557018980","https://openalex.org/W4210868699","https://openalex.org/W4242695085","https://openalex.org/W57172406","https://openalex.org/W3131253889"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}