{"id":"https://openalex.org/W2414457428","doi":"https://doi.org/10.1109/tac.2016.2577619","title":"Multiplayer Reach-Avoid Games via Pairwise Outcomes","display_name":"Multiplayer Reach-Avoid Games via Pairwise Outcomes","publication_year":2016,"publication_date":"2016-06-07","ids":{"openalex":"https://openalex.org/W2414457428","doi":"https://doi.org/10.1109/tac.2016.2577619","mag":"2414457428"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2016.2577619","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2016.2577619","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1611.00450","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Mo Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mo Chen","raw_affiliation_strings":["Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Zhengyuan Zhou","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhengyuan Zhou","raw_affiliation_strings":["Department of Electrical Engineering, Stanford University, Stanford, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Stanford University, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":null,"display_name":"Claire J. Tomlin","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Claire J. Tomlin","raw_affiliation_strings":["Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":195.1442,"has_fulltext":false,"cited_by_count":165,"citation_normalized_percentile":{"value":0.99926284,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"62","issue":"3","first_page":"1451","last_page":"1457"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12158","display_name":"Guidance and Control Systems","score":0.8104000091552734,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12158","display_name":"Guidance and Control Systems","score":0.8104000091552734,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11807","display_name":"Infrastructure Resilience and Vulnerability Analysis","score":0.03660000115633011,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13371","display_name":"Military Defense Systems Analysis","score":0.026499999687075615,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.8194000124931335},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.649399995803833},{"id":"https://openalex.org/keywords/merge","display_name":"Merge (version control)","score":0.4975000023841858},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.43799999356269836},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.41029998660087585},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.39559999108314514}],"concepts":[{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.8194000124931335},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6826000213623047},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.649399995803833},{"id":"https://openalex.org/C197129107","wikidata":"https://www.wikidata.org/wiki/Q1921621","display_name":"Merge (version control)","level":2,"score":0.4975000023841858},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.47760000824928284},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.43799999356269836},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.41029998660087585},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.39559999108314514},{"id":"https://openalex.org/C167573328","wikidata":"https://www.wikidata.org/wiki/Q7439054","display_name":"Screening game","level":4,"score":0.39489999413490295},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.3603000044822693},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.27390000224113464},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.26339998841285706},{"id":"https://openalex.org/C61455927","wikidata":"https://www.wikidata.org/wiki/Q1030529","display_name":"Blossom algorithm","level":3,"score":0.25450000166893005}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2016.2577619","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2016.2577619","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1611.00450","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1611.00450","pdf_url":"https://arxiv.org/pdf/1611.00450","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1611.00450","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1611.00450","pdf_url":"https://arxiv.org/pdf/1611.00450","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2102899048","display_name":null,"funder_award_id":"N0014-08-0696","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G4465997932","display_name":null,"funder_award_id":"FA9550-10-1-0567","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G4466780832","display_name":null,"funder_award_id":"CNS-931843","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1601937749","https://openalex.org/W1999244633","https://openalex.org/W2009061792","https://openalex.org/W2110073061","https://openalex.org/W2116364955","https://openalex.org/W2130548899","https://openalex.org/W2130635245","https://openalex.org/W2153012550","https://openalex.org/W3173777788","https://openalex.org/W6608428989"],"related_works":[],"abstract_inverted_index":{"A":[0],"multiplayer":[1],"reach-avoid":[2],"game":[3,7,65,78],"is":[4,79,157],"a":[5,15,22,107],"differential":[6],"between":[8],"an":[9,67,119],"attacking":[10,28],"team":[11,17,29,44],"with":[12,18,25,161],"NAattackers":[13,36],"and":[14,106,150],"defending":[16,43,132],"NDdefenders":[19],"playing":[20],"on":[21,127],"compact":[23],"domain":[24],"obstacles.":[26],"The":[27],"aims":[30,45],"to":[31,37,46,76,102,113,146],"send":[32],"M":[33],"of":[34,63,130,164],"the":[35,42,58,61,73,97,128,131,138,147,152,162],"some":[38],"target":[39],"location,":[40],"while":[41,166],"prevent":[47],"that":[48,124,137,151],"by":[49],"capturing":[50],"attackers":[51,55],"or":[52,85],"indefinitely":[53],"delaying":[54],"from":[56],"reaching":[57],"target.":[59],"Although":[60],"analysis":[62],"this":[64,77,89],"plays":[66],"important":[68],"role":[69],"in":[70],"many":[71],"applications,":[72],"optimal":[74],"solution":[75,123],"computationally":[80],"intractable":[81],"when":[82],"NA>":[83],"1":[84,100,122],"ND>":[86,121],"1.":[87],"In":[88],"technical":[90],"note,":[91],"we":[92],"present":[93],"two":[94],"approaches":[95],"for":[96,118,143],"NA=":[98],"ND=":[99],"case":[101],"determine":[103],"pairwise":[104,116],"outcomes,":[105],"graph":[108],"theoretic":[109],"maximum":[110,148],"matching":[111],"approach":[112,141,156],"merge":[114],"these":[115],"outcomes":[117],"NA,":[120],"provides":[125],"guarantees":[126],"performance":[129,169],"team.":[133],"We":[134],"will":[135],"show":[136],"four-dimensional":[139],"Hamilton-Jacobi-Isaacs":[140],"allows":[142],"real-time":[144],"updates":[145],"matching,":[149],"two-dimensional":[153],"\u201cpath":[154],"defense\u201d":[155],"considerably":[158],"more":[159],"scalable":[160],"number":[163],"players":[165],"maintaining":[167],"defender":[168],"guarantees.":[170]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":24},{"year":2024,"cited_by_count":34},{"year":2023,"cited_by_count":18},{"year":2022,"cited_by_count":18},{"year":2021,"cited_by_count":19},{"year":2020,"cited_by_count":17},{"year":2019,"cited_by_count":13},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":6}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2016-06-24T00:00:00"}
