{"id":"https://openalex.org/W1965227606","doi":"https://doi.org/10.1142/s0219198905000399","title":"COMPACT REPRESENTATIONS OF SEARCH IN COMPLEX DOMAINS","display_name":"COMPACT REPRESENTATIONS OF SEARCH IN COMPLEX DOMAINS","publication_year":2005,"publication_date":"2005-03-01","ids":{"openalex":"https://openalex.org/W1965227606","doi":"https://doi.org/10.1142/s0219198905000399","mag":"1965227606"},"language":"en","primary_location":{"id":"doi:10.1142/s0219198905000399","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219198905000399","pdf_url":null,"source":{"id":"https://openalex.org/S130757258","display_name":"International Game Theory Review","issn_l":"0219-1989","issn":["0219-1989","1793-6675"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Game Theory Review","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/A5033613446","display_name":"Yosi Ben-Asher","orcid":null},"institutions":[{"id":"https://openalex.org/I91203450","display_name":"University of Haifa","ror":"https://ror.org/02f009v59","country_code":"IL","type":"education","lineage":["https://openalex.org/I91203450"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"YOSI BEN-ASHER","raw_affiliation_strings":["CS department haifa university, Haifa, Israel","CS Department Haifa University, Haifa, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CS department haifa university, Haifa, Israel","institution_ids":["https://openalex.org/I91203450"]},{"raw_affiliation_string":"CS Department Haifa University, Haifa, Israel","institution_ids":["https://openalex.org/I91203450"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064288943","display_name":"Eitan Farchi","orcid":"https://orcid.org/0000-0002-3021-1488"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"EITAN FARCHI","raw_affiliation_strings":["I.B.M Research Center, Haifa, Israel","I.B.M. Research Center, Haifa, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"I.B.M Research Center, Haifa, Israel","institution_ids":[]},{"raw_affiliation_string":"I.B.M. Research Center, Haifa, Israel","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8453,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.76758601,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"07","issue":"01","first_page":"73","last_page":"90"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9681000113487244,"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":0.9681000113487244,"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/normal-form-game","display_name":"Normal-form game","score":0.578815758228302},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.5511309504508972},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.520197331905365},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49843716621398926},{"id":"https://openalex.org/keywords/incremental-heuristic-search","display_name":"Incremental heuristic search","score":0.4962847828865051},{"id":"https://openalex.org/keywords/search-problem","display_name":"Search problem","score":0.4925900101661682},{"id":"https://openalex.org/keywords/search-algorithm","display_name":"Search algorithm","score":0.48979973793029785},{"id":"https://openalex.org/keywords/combinatorial-game-theory","display_name":"Combinatorial game theory","score":0.4700435698032379},{"id":"https://openalex.org/keywords/binary-search-algorithm","display_name":"Binary search algorithm","score":0.4684797525405884},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4545012414455414},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.4439904987812042},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4387666583061218},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4270175099372864},{"id":"https://openalex.org/keywords/linear-search","display_name":"Linear search","score":0.41470879316329956},{"id":"https://openalex.org/keywords/beam-search","display_name":"Beam search","score":0.40738797187805176},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.35608839988708496},{"id":"https://openalex.org/keywords/sequential-game","display_name":"Sequential game","score":0.35595327615737915},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.31734710931777954},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3033927083015442},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2585047483444214},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.2522631287574768}],"concepts":[{"id":"https://openalex.org/C155930848","wikidata":"https://www.wikidata.org/wiki/Q1069099","display_name":"Normal-form game","level":4,"score":0.578815758228302},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.5511309504508972},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.520197331905365},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49843716621398926},{"id":"https://openalex.org/C139979381","wikidata":"https://www.wikidata.org/wiki/Q17056021","display_name":"Incremental heuristic search","level":4,"score":0.4962847828865051},{"id":"https://openalex.org/C201789804","wikidata":"https://www.wikidata.org/wiki/Q2362762","display_name":"Search problem","level":2,"score":0.4925900101661682},{"id":"https://openalex.org/C125583679","wikidata":"https://www.wikidata.org/wiki/Q755673","display_name":"Search algorithm","level":2,"score":0.48979973793029785},{"id":"https://openalex.org/C102234262","wikidata":"https://www.wikidata.org/wiki/Q1320931","display_name":"Combinatorial game theory","level":4,"score":0.4700435698032379},{"id":"https://openalex.org/C121610932","wikidata":"https://www.wikidata.org/wiki/Q243754","display_name":"Binary search algorithm","level":3,"score":0.4684797525405884},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4545012414455414},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.4439904987812042},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4387666583061218},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4270175099372864},{"id":"https://openalex.org/C204259536","wikidata":"https://www.wikidata.org/wiki/Q787903","display_name":"Linear search","level":2,"score":0.41470879316329956},{"id":"https://openalex.org/C19889080","wikidata":"https://www.wikidata.org/wiki/Q2835852","display_name":"Beam search","level":3,"score":0.40738797187805176},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.35608839988708496},{"id":"https://openalex.org/C73795354","wikidata":"https://www.wikidata.org/wiki/Q287618","display_name":"Sequential game","level":3,"score":0.35595327615737915},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.31734710931777954},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3033927083015442},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2585047483444214},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.2522631287574768},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1142/s0219198905000399","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219198905000399","pdf_url":null,"source":{"id":"https://openalex.org/S130757258","display_name":"International Game Theory Review","issn_l":"0219-1989","issn":["0219-1989","1793-6675"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Game Theory Review","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.51.9562","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.51.9562","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cs.haifa.ac.il/YOSI/PAPERS/gmt.ps","raw_type":"text"},{"id":"pmh:oai:RePEc:wsi:igtrxx:v:07:y:2005:i:01:n:s0219198905000399","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0219198905000399","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:RePEc:wsi:igtrxx:v:07:y:2005:i:01:p:73-90","is_oa":false,"landing_page_url":"http://www.worldscinet.com/cgi-bin/details.cgi?type=html&id=pii:S0219198905000399","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":"","raw_type":"article"},{"id":"pmh:oai:RePEc:wsi:igtrxx:v:07:y:2005:i:02:p:171-188","is_oa":false,"landing_page_url":"http://www.worldscinet.com/cgi-bin/details.cgi?type=html&id=pii:S0219198905000478","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":"","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W127224647","https://openalex.org/W1970716647","https://openalex.org/W1996384709","https://openalex.org/W2025583426","https://openalex.org/W2152228029","https://openalex.org/W2167817931"],"related_works":["https://openalex.org/W2358427436","https://openalex.org/W4213195198","https://openalex.org/W2998661990","https://openalex.org/W1576773757","https://openalex.org/W2164899989","https://openalex.org/W843542728","https://openalex.org/W2585326820","https://openalex.org/W3181093338","https://openalex.org/W4249886973","https://openalex.org/W334869059"],"abstract_inverted_index":{"We":[0],"introduce":[1],"a":[2,21,44,137,148,192],"new":[3],"zero-sum":[4],"matrix":[5,104],"game":[6,42],"for":[7,84],"modeling":[8],"search":[9,41,67,86,95,100,162,181,212,227],"in":[10,97,140],"structured":[11],"domains.":[12],"In":[13,109],"this":[14,40,110,130],"game,":[15],"one":[16,82],"player":[17],"tries":[18,26],"to":[19,27,62,94,116,121,171,208,216],"find":[20],"\"bug\"":[22],"while":[23],"the":[24,33,36,48,102,118,123,152,161,168,173,194,202,205,210,223,226],"other":[25],"hide":[28],"it.":[29],"Both":[30],"players":[31],"exploit":[32],"structure":[34,159],"of":[35,47,129,154,160,225],"\"search\"":[37],"domain.":[38,163,228],"Intuitively,":[39],"is":[43,55,214,222],"mathematical":[45],"generalization":[46,54],"well":[49],"known":[50],"binary":[51],"search.":[52],"The":[53],"from":[56],"searching":[57,63],"over":[58,64],"totally":[59],"ordered":[60],"sets":[61],"more":[65],"complex":[66],"domains":[68,182],"such":[69],"as":[70,186],"trees,":[71],"partial":[72],"orders":[73],"and":[74,88],"general":[75,180],"set":[76],"systems.":[77],"As":[78,191],"there":[79,89],"must":[80],"be":[81,144,184,198],"row":[83],"every":[85],"strategy,":[87],"are":[90],"exponentially":[91],"many":[92],"ways":[93,115],"even":[96],"very":[98],"simple":[99],"domains,":[101],"game's":[103],"has":[105],"exponential":[106],"size":[107,224],"(\"space\").":[108],"work":[111],"we":[112,134,177],"present":[113],"two":[114],"reduce":[117,167],"space":[119,169,206],"required":[120,170],"compute":[122,209],"Nash":[124,138,195],"value":[125],"(in":[126],"pure":[127,141],"strategies)":[128],"game:":[131],"\u2022":[132,175],"First":[133],"show":[135,178],"that":[136],"equilibrium":[139,196],"strategies":[142],"can":[143,165,183,197],"computed":[145,200],"by":[146],"using":[147,201],"backward":[149],"induction":[150],"on":[151],"matrices":[153],"each":[155],"\"part\"":[156],"or":[157],"sub":[158],"This":[164],"significantly":[166],"represent":[172],"game.":[174],"Next,":[176],"when":[179],"represented":[185],"DAGs":[187],"(Directed":[188],"Acycliqe":[189],"Graphs).":[190],"result,":[193],"directly":[199],"DAG.":[203],"Consequently":[204],"needed":[207],"desired":[211],"strategy":[213],"reduced":[215],"O(n":[217],"2":[218],")":[219],"where":[220],"n":[221]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}