{"id":"https://openalex.org/W2024640287","doi":"https://doi.org/10.1137/07071007x","title":"Measure-Valued Solutions for a Differential Game Related to Fish Harvesting","display_name":"Measure-Valued Solutions for a Differential Game Related to Fish Harvesting","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2024640287","doi":"https://doi.org/10.1137/07071007x","mag":"2024640287"},"language":"en","primary_location":{"id":"doi:10.1137/07071007x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/07071007x","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/A5048359772","display_name":"Alberto Bressan","orcid":"https://orcid.org/0000-0002-2030-842X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Alberto Bressan","raw_affiliation_strings":["bressan@math.psu.edu and shen_w@math.psu.edu#TAB#"],"affiliations":[{"raw_affiliation_string":"bressan@math.psu.edu and shen_w@math.psu.edu#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005843205","display_name":"Wen Shen","orcid":"https://orcid.org/0000-0003-4754-1405"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wen Shen","raw_affiliation_strings":["Pennsylvania State Univ#TAB#"],"affiliations":[{"raw_affiliation_string":"Pennsylvania State Univ#TAB#","institution_ids":["https://openalex.org/I130769515"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5048359772"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3277,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.69989353,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"47","issue":"6","first_page":"3118","last_page":"3137"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9836999773979187,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9836999773979187,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.9478999972343445,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9435999989509583,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8208326101303101},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.6254957318305969},{"id":"https://openalex.org/keywords/pointwise","display_name":"Pointwise","score":0.6179857850074768},{"id":"https://openalex.org/keywords/differential-game","display_name":"Differential game","score":0.5443399548530579},{"id":"https://openalex.org/keywords/sublinear-function","display_name":"Sublinear function","score":0.5343484282493591},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.5270866751670837},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.4221889078617096},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4215320646762848},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3541795611381531},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3530575931072235},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3520577549934387},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2506358027458191},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1825009286403656},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10945761203765869}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8208326101303101},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.6254957318305969},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.6179857850074768},{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.5443399548530579},{"id":"https://openalex.org/C117160843","wikidata":"https://www.wikidata.org/wiki/Q338652","display_name":"Sublinear function","level":2,"score":0.5343484282493591},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.5270866751670837},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.4221889078617096},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4215320646762848},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3541795611381531},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3530575931072235},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3520577549934387},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2506358027458191},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1825009286403656},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10945761203765869},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/07071007x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/07071007x","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:CiteSeerX.psu:10.1.1.192.7039","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.192.7039","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.psu.edu/bressan/PSPDF/fishy.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8799999952316284,"id":"https://metadata.un.org/sdg/14","display_name":"Life below water"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W176865736","https://openalex.org/W231975775","https://openalex.org/W294731230","https://openalex.org/W1733365709","https://openalex.org/W1978700117","https://openalex.org/W2019747083","https://openalex.org/W2023747041","https://openalex.org/W2043442024","https://openalex.org/W2081686176","https://openalex.org/W2116246966","https://openalex.org/W2165712860","https://openalex.org/W2172801583"],"related_works":["https://openalex.org/W90906771","https://openalex.org/W2018828772","https://openalex.org/W2140020064","https://openalex.org/W2529185025","https://openalex.org/W143502885","https://openalex.org/W571281153","https://openalex.org/W126028976","https://openalex.org/W2068419836","https://openalex.org/W2219348818","https://openalex.org/W4283371013"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,48],"consider":[4],"a":[5,59,86,94,98,102],"model":[6],"for":[7],"the":[8,19,28,41,50,70,74,83],"harvesting":[9],"of":[10,31,52,61,76,85,97,104],"marine":[11],"resources,":[12],"described":[13],"by":[14],"an":[15],"elliptic":[16],"equation.":[17],"Since":[18],"cost":[20],"functionals":[21],"have":[22],"sublinear":[23],"growth":[24],"with":[25,63],"respect":[26],"to":[27],"pointwise":[29],"intensity":[30],"fishing":[32,79],"effort,":[33],"optimal":[34,53],"solutions":[35],"are":[36],"in":[37,44,101],"general":[38],"measure-valued.":[39],"For":[40],"control":[42],"problem":[43],"one":[45],"space":[46,103],"dimension,":[47],"prove":[49,82],"existence":[51,84],"strategies.":[54],"Uniqueness":[55],"is":[56,91],"established":[57],"within":[58],"class":[60],"measures":[62],"small":[64],"total":[65],"mass.":[66],"We":[67],"also":[68],"study":[69],"differential":[71],"game,":[72],"modeling":[73],"presence":[75],"several":[77],"competing":[78],"companies,":[80],"and":[81],"Nash":[87],"equilibrium":[88],"solution.":[89],"This":[90],"obtained":[92],"as":[93],"fixed":[95],"point":[96],"continuous":[99],"transformation":[100],"positive":[105],"Radon":[106],"measures.":[107]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
