{"id":"https://openalex.org/W1984499065","doi":"https://doi.org/10.1137/090781115","title":"Search Games on Trees with Asymmetric Travel Times","display_name":"Search Games on Trees with Asymmetric Travel Times","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1984499065","doi":"https://doi.org/10.1137/090781115","mag":"1984499065"},"language":"en","primary_location":{"id":"doi:10.1137/090781115","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090781115","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","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/A5023618082","display_name":"Steve Alpern","orcid":"https://orcid.org/0000-0002-0095-4299"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Steve Alpern","raw_affiliation_strings":["s.alpern@lse.ac.uk#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"s.alpern@lse.ac.uk#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5023618082"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.323,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.9202367,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"48","issue":"8","first_page":"5547","last_page":"5563"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12288","display_name":"Optimization and Search Problems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11182","display_name":"Auction Theory and Applications","score":0.9987000226974487,"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/T11031","display_name":"Game Theory and Applications","score":0.9970999956130981,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7893296480178833},{"id":"https://openalex.org/keywords/stochastic-game","display_name":"Stochastic game","score":0.7164214849472046},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6732739210128784},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.6147348880767822},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5776428580284119},{"id":"https://openalex.org/keywords/zero-sum-game","display_name":"Zero-sum game","score":0.5292811989784241},{"id":"https://openalex.org/keywords/search-tree","display_name":"Search tree","score":0.4973345100879669},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.49096015095710754},{"id":"https://openalex.org/keywords/game-tree","display_name":"Game tree","score":0.41376906633377075},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3515075743198395},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3281877040863037},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3163931965827942},{"id":"https://openalex.org/keywords/sequential-game","display_name":"Sequential game","score":0.30532318353652954},{"id":"https://openalex.org/keywords/search-algorithm","display_name":"Search algorithm","score":0.2963162660598755},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.2955358028411865}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7893296480178833},{"id":"https://openalex.org/C22171661","wikidata":"https://www.wikidata.org/wiki/Q1074380","display_name":"Stochastic game","level":2,"score":0.7164214849472046},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6732739210128784},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.6147348880767822},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5776428580284119},{"id":"https://openalex.org/C136356330","wikidata":"https://www.wikidata.org/wiki/Q156612","display_name":"Zero-sum game","level":3,"score":0.5292811989784241},{"id":"https://openalex.org/C207024777","wikidata":"https://www.wikidata.org/wiki/Q621673","display_name":"Search tree","level":3,"score":0.4973345100879669},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.49096015095710754},{"id":"https://openalex.org/C95815963","wikidata":"https://www.wikidata.org/wiki/Q1377033","display_name":"Game tree","level":4,"score":0.41376906633377075},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3515075743198395},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3281877040863037},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3163931965827942},{"id":"https://openalex.org/C73795354","wikidata":"https://www.wikidata.org/wiki/Q287618","display_name":"Sequential game","level":3,"score":0.30532318353652954},{"id":"https://openalex.org/C125583679","wikidata":"https://www.wikidata.org/wiki/Q755673","display_name":"Search algorithm","level":2,"score":0.2963162660598755},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.2955358028411865},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/090781115","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090781115","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:eprints.lse.ac.uk:33601","is_oa":false,"landing_page_url":"http://www.siam.org/journals/sicon.php","pdf_url":null,"source":{"id":"https://openalex.org/S4306401593","display_name":"London School of Economics and Political Science Research Online (London School of Economics and Political Science)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I909854389","host_organization_name":"London School of Economics and Political Science","host_organization_lineage":["https://openalex.org/I909854389"],"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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W380973736","https://openalex.org/W1536009348","https://openalex.org/W1985386569","https://openalex.org/W1988809574","https://openalex.org/W1995579709","https://openalex.org/W2013679020","https://openalex.org/W2028909191","https://openalex.org/W2037884978","https://openalex.org/W2041047721","https://openalex.org/W2068534561","https://openalex.org/W2068873264","https://openalex.org/W2072156568","https://openalex.org/W2083546530","https://openalex.org/W2087387574","https://openalex.org/W2132239960","https://openalex.org/W4232037330"],"related_works":["https://openalex.org/W2215997563","https://openalex.org/W2090036432","https://openalex.org/W2040503200","https://openalex.org/W2048640400","https://openalex.org/W2029469580","https://openalex.org/W2921570851","https://openalex.org/W1990178198","https://openalex.org/W4234963057","https://openalex.org/W1988057242","https://openalex.org/W1514842472"],"abstract_inverted_index":{"A":[0],"point":[1],"H":[2],"is":[3,11,43,74,86,102],"hidden":[4],"in":[5,38,230],"a":[6,46,103,119],"rooted":[7],"tree":[8],"Q":[9],"which":[10,30,178],"endowed":[12],"with":[13,51,124],"asymmetric":[14,125,232],"distances":[15],"(travel":[16],"times)":[17],"between":[18],"nodes.":[19],"We":[20,108,189,208],"determine":[21,209],"the":[22,28,32,39,60,68,71,81,89,116,146,182,187,198,223],"randomized":[23,100],"search":[24,48,101,147,171],"strategy,":[25],"starting":[26],"from":[27,70,96],"root,":[29],"minimizes":[31],"expected":[33],"time":[34,91,184],"to":[35,45,59,88,93,181,185,201],"reach":[36],"H,":[37],"worst":[40,64],"case.":[41],"This":[42],"equivalent":[44],"zero-sum":[47],"game":[49],"$\\Gamma\\left(Q\\right)$,":[50],"minimizing":[52],"Searcher,":[53],"maximizing":[54],"Hider,":[55],"and":[56,115,144,158,160,215],"payoff":[57],"equal":[58],"capture":[61],"time.":[62],"The":[63,98],"Hiding":[65],"distribution":[66],"(over":[67],"leaves)":[69],"Searcher's":[72],"viewpoint":[73],"one":[75],"where":[76],"at":[77,174,204],"every":[78],"node":[79,176],"i":[80,177],"probability":[82],"of":[83,118,130,149,226],"each":[84,175],"branch":[85],"proportional":[87],"minimum":[90],"required":[92],"tour":[94],"it":[95],"i.":[97],"optimal":[99],"mixture":[104],"over":[105],"depth-first":[106],"searches.":[107],"also":[109,145,190],"consider":[110,192],"briefly":[111,191],"some":[112],"other":[113],"networks":[114],"possibility":[117],"mobile":[120],"Hider.":[121],"Our":[122],"formulation":[123],"travel":[126,142,183],"times":[127,143],"generalizes":[128],"that":[129],"Gal":[131,216],"[SIAM":[132],"J.":[133],"Control":[134],"Optim.,":[135],"17":[136],"(1979),":[137],"pp.":[138,156,167,220],"99\u2013122]":[139],"for":[140,222],"symmetric":[141,224],"games":[148,228],"Kikuta":[150,159],"[J.":[151],"Oper.":[152],"Res.,":[153],"38":[154],"(1995),":[155],"70\u201388]":[157],"Ruckle":[161],"[Naval":[162],"Res.":[163],"Logist.,":[164],"41":[165],"(1994),":[166],"821\u2013831],":[168],"who":[169],"posited":[170],"costs":[172],"$c_i$":[173],"were":[179],"added":[180],"obtain":[186],"payoff.":[188],"what":[193],"happens":[194],"if":[195],"we":[196],"allow":[197],"Searcher":[199],"(Hider)":[200],"start":[202],"(hide)":[203],"any":[205],"leaf":[206],"node.":[207],"when":[210],"properties":[211],"found":[212],"by":[213],"Dagan":[214],"[Networks,":[217],"52":[218],"(2008),":[219],"156\u2013161]":[221],"version":[225],"such":[227],"hold":[229],"our":[231],"context.":[233]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":6}],"updated_date":"2026-09-02T07:38:04.252551","created_date":"2025-10-10T00:00:00"}
