{"id":"https://openalex.org/W2556241462","doi":"https://doi.org/10.3390/g8010014","title":"Swap Equilibria under Link and Vertex Destruction","display_name":"Swap Equilibria under Link and Vertex Destruction","publication_year":2017,"publication_date":"2017-02-22","ids":{"openalex":"https://openalex.org/W2556241462","doi":"https://doi.org/10.3390/g8010014","mag":"2556241462"},"language":"en","primary_location":{"id":"doi:10.3390/g8010014","is_oa":true,"landing_page_url":"https://doi.org/10.3390/g8010014","pdf_url":"https://www.mdpi.com/2073-4336/8/1/14/pdf?version=1487742074","source":{"id":"https://openalex.org/S6552842","display_name":"Games","issn_l":"2073-4336","issn":["2073-4336"],"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":"Games","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-4336/8/1/14/pdf?version=1487742074","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028061483","display_name":"Lasse Kliemann","orcid":null},"institutions":[{"id":"https://openalex.org/I32021983","display_name":"Kiel University","ror":"https://ror.org/04v76ef78","country_code":"DE","type":"education","lineage":["https://openalex.org/I32021983"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Lasse Kliemann","raw_affiliation_strings":["Department of Computer Science, Kiel University, Christian-Albrechts-Platz 4, 24118 Kiel, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Kiel University, Christian-Albrechts-Platz 4, 24118 Kiel, Germany","institution_ids":["https://openalex.org/I32021983"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019139136","display_name":"Elmira Shirazi Sheykhdarabadi","orcid":null},"institutions":[{"id":"https://openalex.org/I32021983","display_name":"Kiel University","ror":"https://ror.org/04v76ef78","country_code":"DE","type":"education","lineage":["https://openalex.org/I32021983"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Elmira Shirazi Sheykhdarabadi","raw_affiliation_strings":["Department of Computer Science, Kiel University, Christian-Albrechts-Platz 4, 24118 Kiel, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Kiel University, Christian-Albrechts-Platz 4, 24118 Kiel, Germany","institution_ids":["https://openalex.org/I32021983"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108463602","display_name":"Anand Srivastav","orcid":null},"institutions":[{"id":"https://openalex.org/I32021983","display_name":"Kiel University","ror":"https://ror.org/04v76ef78","country_code":"DE","type":"education","lineage":["https://openalex.org/I32021983"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Anand Srivastav","raw_affiliation_strings":["Department of Computer Science, Kiel University, Christian-Albrechts-Platz 4, 24118 Kiel, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Kiel University, Christian-Albrechts-Platz 4, 24118 Kiel, Germany","institution_ids":["https://openalex.org/I32021983"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028061483"],"corresponding_institution_ids":["https://openalex.org/I32021983"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.8062,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.75674904,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"8","issue":"1","first_page":"14","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9991999864578247,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9847999811172485,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7278841733932495},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6828691363334656},{"id":"https://openalex.org/keywords/swap","display_name":"Swap (finance)","score":0.6427997350692749},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5985590219497681},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5971851348876953},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.47616976499557495},{"id":"https://openalex.org/keywords/vertex-connectivity","display_name":"Vertex connectivity","score":0.4155198931694031},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3891324996948242},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.16915172338485718}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7278841733932495},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6828691363334656},{"id":"https://openalex.org/C99821215","wikidata":"https://www.wikidata.org/wiki/Q1136583","display_name":"Swap (finance)","level":2,"score":0.6427997350692749},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5985590219497681},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5971851348876953},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.47616976499557495},{"id":"https://openalex.org/C2983226441","wikidata":"https://www.wikidata.org/wiki/Q3115621","display_name":"Vertex connectivity","level":4,"score":0.4155198931694031},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3891324996948242},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.16915172338485718},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/g8010014","is_oa":true,"landing_page_url":"https://doi.org/10.3390/g8010014","pdf_url":"https://www.mdpi.com/2073-4336/8/1/14/pdf?version=1487742074","source":{"id":"https://openalex.org/S6552842","display_name":"Games","issn_l":"2073-4336","issn":["2073-4336"],"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":"Games","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:f85f93f7cf0242c88ab77c3351c72470","is_oa":true,"landing_page_url":"https://doaj.org/article/f85f93f7cf0242c88ab77c3351c72470","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":"Games, Vol 8, Iss 1, p 14 (2017)","raw_type":"article"},{"id":"pmh:oai:econstor.eu:10419/168016","is_oa":true,"landing_page_url":"http://hdl.handle.net/10419/168016","pdf_url":null,"source":{"id":"https://openalex.org/S4306401696","display_name":"Econstor (Econstor)","issn_l":null,"issn":null,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"doc-type:article"},{"id":"pmh:oai:macau.uni-kiel.de:macau_mods_00000088","is_oa":true,"landing_page_url":"https://nbn-resolving.org/urn:nbn:de:gbv:8-mods-2019-00131-5","pdf_url":null,"source":{"id":"https://openalex.org/S4306400664","display_name":"Multimedialen Archiv und Publikationsserver der Christian-Albrechts-Universit\u00e4t zu Kiel (Christian-Albrechts-Universit\u00e4t zu Kiel)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I151221077","host_organization_name":"Chung Yuan Christian University","host_organization_lineage":["https://openalex.org/I151221077"],"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":null,"raw_type":"doc-type:Article"},{"id":"pmh:oai:mdpi.com:/2073-4336/8/1/14/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/g8010014","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":"Games; Volume 8; Issue 1; Pages: 14","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/g8010014","is_oa":true,"landing_page_url":"https://doi.org/10.3390/g8010014","pdf_url":"https://www.mdpi.com/2073-4336/8/1/14/pdf?version=1487742074","source":{"id":"https://openalex.org/S6552842","display_name":"Games","issn_l":"2073-4336","issn":["2073-4336"],"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":"Games","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.41999998688697815,"display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G2429932045","display_name":null,"funder_award_id":"SR 7/15-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G3534564312","display_name":null,"funder_award_id":"KL 2087/1-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2556241462.pdf","grobid_xml":"https://content.openalex.org/works/W2556241462.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W135300327","https://openalex.org/W161648061","https://openalex.org/W1922540102","https://openalex.org/W2027725119","https://openalex.org/W2048266466","https://openalex.org/W2052597240","https://openalex.org/W2119203083","https://openalex.org/W2127116502","https://openalex.org/W2136453484","https://openalex.org/W2150705543","https://openalex.org/W2164412965","https://openalex.org/W2178635293","https://openalex.org/W2221218932","https://openalex.org/W2258704064","https://openalex.org/W2466089328","https://openalex.org/W2474793820","https://openalex.org/W2566700717","https://openalex.org/W2963724981","https://openalex.org/W3005351182","https://openalex.org/W3122176765","https://openalex.org/W4205298799","https://openalex.org/W4211114784","https://openalex.org/W4248814197","https://openalex.org/W6666567688","https://openalex.org/W6678030713"],"related_works":["https://openalex.org/W614339039","https://openalex.org/W1980648360","https://openalex.org/W2023302035","https://openalex.org/W2339534957","https://openalex.org/W2988282395","https://openalex.org/W341486533","https://openalex.org/W2557579792","https://openalex.org/W2353691047","https://openalex.org/W4313216298","https://openalex.org/W2090952304"],"abstract_inverted_index":{"We":[0,71,137],"initiate":[1],"the":[2,5,13,32,49,54,60,66,69,84,94,97,108,148,155,172,186,189],"study":[3],"of":[4,34,68,87,110,120],"destruction":[6,24],"or":[7,40,79],"adversary":[8],"model":[9,25,55],"(Kliemann":[10],"2010)":[11],"using":[12],"swap":[14],"equilibrium":[15],"(SE)":[16],"stability":[17],"concept":[18],"(Alon":[19],"et":[20],"al.,":[21],"2010).":[22],"The":[23],"is":[26,102,128,141],"a":[27,35,38,117,166],"network":[28,36],"formation":[29],"game":[30],"incorporating":[31],"robustness":[33],"under":[37,89],"more":[39],"less":[41],"targeted":[42],"attack.":[43],"In":[44],"addition":[45],"to":[46,62,99,177],"bringing":[47],"in":[48],"SE":[50,88,131,144,159],"concept,":[51],"we":[52,124,151],"extend":[53],"from":[56,107,174],"an":[57,63],"attack":[58,64,91],"on":[59,65,83,188],"edges":[61],"vertices":[67,112],"network.":[70],"prove":[72],"structural":[73],"results":[74],"and":[75],"linear":[76],"upper":[77],"bounds":[78,82],"super-linear":[80],"lower":[81],"social":[85],"cost":[86],"different":[90],"scenarios.":[92],"For":[93],"case":[95],"that":[96,126,139,153],"vertex":[98],"be":[100],"destroyed":[101],"chosen":[103],"uniformly":[104],"at":[105,145],"random":[106],"set":[109],"max-sep":[111,135,190],"(i.e.,":[113],"where":[114,171],"each":[115],"causes":[116],"maximum":[118],"number":[119],"separated":[121],"player":[122],"pairs),":[123],"show":[125,152],"there":[127,140],"no":[129,142],"tree":[130,143],"with":[132],"only":[133],"one":[134,180],"vertex.":[136],"conjecture":[138],"all.":[146],"On":[147],"other":[149],"hand,":[150],"for":[154],"uniform":[156],"measure,":[157],"all":[158],"are":[160],"trees":[161],"(unless":[162],"two-connected).":[163],"This":[164],"opens":[165],"new":[167],"research":[168],"direction":[169],"asking":[170],"transition":[173],"\u201cno":[175],"cycle\u201d":[176,181],"\u201cat":[178],"least":[179],"occurs":[182],"when":[183],"gradually":[184],"concentrating":[185],"measure":[187],"vertices.":[191]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-01T08:36:08.643496","created_date":"2016-11-30T00:00:00"}