{"id":"https://openalex.org/W2770211794","doi":"https://doi.org/10.1109/iceee.2017.8108857","title":"An iterative method for solving stackelberg security games: A Markov games approach","display_name":"An iterative method for solving stackelberg security games: A Markov games approach","publication_year":2017,"publication_date":"2017-10-01","ids":{"openalex":"https://openalex.org/W2770211794","doi":"https://doi.org/10.1109/iceee.2017.8108857","mag":"2770211794"},"language":"en","primary_location":{"id":"doi:10.1109/iceee.2017.8108857","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iceee.2017.8108857","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 14th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","raw_type":"proceedings-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/A5000513932","display_name":"Daniel Guerrero","orcid":"https://orcid.org/0000-0002-2004-9018"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Daniel Guerrero","raw_affiliation_strings":["Instituto Polit\u00e9cnico Nacional, National Polytechnic Institute, Mexico City, Mexico"],"affiliations":[{"raw_affiliation_string":"Instituto Polit\u00e9cnico Nacional, National Polytechnic Institute, Mexico City, Mexico","institution_ids":["https://openalex.org/I59361560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078560962","display_name":"Alin Andrei Carsteanu","orcid":"https://orcid.org/0000-0002-1759-703X"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Alin A. Carsteanu","raw_affiliation_strings":["Instituto Polit\u00e9cnico Nacional, National Polytechnic Institute, Mexico City, Mexico"],"affiliations":[{"raw_affiliation_string":"Instituto Polit\u00e9cnico Nacional, National Polytechnic Institute, Mexico City, Mexico","institution_ids":["https://openalex.org/I59361560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083091474","display_name":"Roc\u00edo Huerta Cuervo","orcid":"https://orcid.org/0000-0001-7457-8444"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Rocio Huerta","raw_affiliation_strings":["Instituto Polit\u00e9cnico Nacional, National Polytechnic Institute, Mexico City, Mexico"],"affiliations":[{"raw_affiliation_string":"Instituto Polit\u00e9cnico Nacional, National Polytechnic Institute, Mexico City, Mexico","institution_ids":["https://openalex.org/I59361560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053505976","display_name":"Julio B. Clempner","orcid":"https://orcid.org/0000-0002-5918-4671"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Julio B. Clempner","raw_affiliation_strings":["Instituto Polit\u00e9cnico Nacional, National Polytechnic Institute, Mexico City, Mexico"],"affiliations":[{"raw_affiliation_string":"Instituto Polit\u00e9cnico Nacional, National Polytechnic Institute, Mexico City, Mexico","institution_ids":["https://openalex.org/I59361560"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5000513932"],"corresponding_institution_ids":["https://openalex.org/I59361560"],"apc_list":null,"apc_paid":null,"fwci":1.45,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.82683458,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11807","display_name":"Infrastructure Resilience and Vulnerability Analysis","score":0.9987000226974487,"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"}},"topics":[{"id":"https://openalex.org/T11807","display_name":"Infrastructure Resilience and Vulnerability Analysis","score":0.9987000226974487,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9890999794006348,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"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/T11500","display_name":"Evacuation and Crowd Dynamics","score":0.9702000021934509,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/stackelberg-competition","display_name":"Stackelberg competition","score":0.9720058441162109},{"id":"https://openalex.org/keywords/patrolling","display_name":"Patrolling","score":0.7478622198104858},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7473774552345276},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.5931186676025391},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.5911992192268372},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5134583115577698},{"id":"https://openalex.org/keywords/sequential-game","display_name":"Sequential game","score":0.4219169616699219},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.42144066095352173},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.41753655672073364},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3755604326725006},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.16914409399032593},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.07464447617530823}],"concepts":[{"id":"https://openalex.org/C199510392","wikidata":"https://www.wikidata.org/wiki/Q1184602","display_name":"Stackelberg competition","level":2,"score":0.9720058441162109},{"id":"https://openalex.org/C110698143","wikidata":"https://www.wikidata.org/wiki/Q651389","display_name":"Patrolling","level":2,"score":0.7478622198104858},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7473774552345276},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.5931186676025391},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.5911992192268372},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5134583115577698},{"id":"https://openalex.org/C73795354","wikidata":"https://www.wikidata.org/wiki/Q287618","display_name":"Sequential game","level":3,"score":0.4219169616699219},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.42144066095352173},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.41753655672073364},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3755604326725006},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.16914409399032593},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.07464447617530823},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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":1,"locations":[{"id":"doi:10.1109/iceee.2017.8108857","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iceee.2017.8108857","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 14th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320324201","display_name":"Secretar\u00eda de Investigaci\u00f3n y Posgrado, Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1119482115","https://openalex.org/W1599444075","https://openalex.org/W1780330426","https://openalex.org/W2001025552","https://openalex.org/W2030148285","https://openalex.org/W2044850040","https://openalex.org/W2073004498","https://openalex.org/W2088797828","https://openalex.org/W2191448922","https://openalex.org/W2294444471","https://openalex.org/W2419600651","https://openalex.org/W2520006692","https://openalex.org/W2543186300","https://openalex.org/W2568493282","https://openalex.org/W2577921554","https://openalex.org/W2991767911","https://openalex.org/W6771286482"],"related_works":["https://openalex.org/W2119249434","https://openalex.org/W2782802862","https://openalex.org/W2976114880","https://openalex.org/W2236801283","https://openalex.org/W2120184307","https://openalex.org/W1000249520","https://openalex.org/W2728657731","https://openalex.org/W1976052704","https://openalex.org/W2328458106","https://openalex.org/W2733656312"],"abstract_inverted_index":{"Stackelberg":[0,7,58,73,84,113],"security":[1,59,74,94,123],"games":[2,92,95],"are":[3,102],"represented":[4],"by":[5,111],"a":[6,54,83,107,112,118,143,163,169,175],"model":[8],"for":[9,40,57,67,86,121,130,178],"multiple":[10,87],"defenders":[11,20],"and":[12,31,100,166],"attackers.":[13],"The":[14,47,154],"dynamics":[15],"of":[16,36,49,145,182],"the":[17,34,37,41,50,69,80,136,140,160,167,180,183],"game":[18,85,109],"involves":[19,156],"trying":[21],"to":[22,27,45],"allocate":[23],"their":[24],"limited":[25],"resources":[26],"defend":[28],"important":[29],"targets,":[30],"attackers":[32,101],"observing":[33],"behavior":[35],"defenders,":[38],"look":[39],"most":[42],"advantageous":[43],"target":[44],"harm.":[46],"computation":[48],"equilibrium":[51,70],"point":[52,71],"is":[53,150],"fundamental":[55],"issue":[56],"games.":[60,76,98],"This":[61],"paper":[62],"presents":[63],"an":[64,151],"iterative":[65],"method":[66,120,155],"computing":[68],"in":[72,89,106],"Markov":[75,90],"We":[77,173],"first":[78,161],"cast":[79],"problem":[81,141],"as":[82,96],"players":[88],"chain":[91],"conceptualizing":[93],"polylinear":[97],"Defenders":[99],"independently":[103],"playing":[104],"non-cooperatively":[105],"Nash":[108],"restricted":[110],"game.":[114],"Then,":[115],"we":[116,138],"develop":[117],"new":[119],"solving":[122],"games,":[124],"that":[125],"provides":[126],"randomized":[127],"patrolling":[128],"strategies":[129],"optimizing":[131],"resource":[132],"allocation.":[133],"For":[134],"developing":[135],"method,":[137],"transform":[139],"into":[142],"system":[144],"independent":[146],"equations":[147],"where":[148],"each":[149],"optimization":[152],"problem.":[153],"two":[157],"half":[158],"steps:":[159],"employs":[162],"proximal":[164],"approach":[165],"second":[168],"projection":[170],"gradient":[171],"method.":[172,184],"present":[174],"numerical":[176],"example":[177],"showing":[179],"effectiveness":[181]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-17T18:11:37.981687","created_date":"2025-10-10T00:00:00"}
