{"id":"https://openalex.org/W2892052301","doi":"https://doi.org/10.1142/s1793005719500054","title":"Strategies in Mixed Budget: A Bitopological Approach","display_name":"Strategies in Mixed Budget: A Bitopological Approach","publication_year":2018,"publication_date":"2018-09-14","ids":{"openalex":"https://openalex.org/W2892052301","doi":"https://doi.org/10.1142/s1793005719500054","mag":"2892052301"},"language":"en","primary_location":{"id":"doi:10.1142/s1793005719500054","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005719500054","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"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":"New Mathematics and Natural Computation","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/A5041794744","display_name":"Santanu Acharjee","orcid":"https://orcid.org/0000-0003-4932-3305"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Santanu Acharjee","raw_affiliation_strings":["Economics and Computational Rationality Group, Department of Mathematics, Debraj Roy College, Golaghat \u2013 785621, Assam, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Economics and Computational Rationality Group, Department of Mathematics, Debraj Roy College, Golaghat \u2013 785621, Assam, India","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019797810","display_name":"Binod Chandra Tripathy","orcid":"https://orcid.org/0000-0002-0738-652X"},"institutions":[{"id":"https://openalex.org/I72677176","display_name":"Tripura University","ror":"https://ror.org/05xqycm14","country_code":"IN","type":"education","lineage":["https://openalex.org/I72677176"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Binod Chandra Tripathy","raw_affiliation_strings":["Department of Mathematics, Tripura University, Suryamaninagar, Agartala \u2013 799022, Tripura, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tripura University, Suryamaninagar, Agartala \u2013 799022, Tripura, India","institution_ids":["https://openalex.org/I72677176"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5041794744"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8653,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.90448148,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"15","issue":"01","first_page":"85","last_page":"94"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.988099992275238,"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"}},"topics":[{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.988099992275238,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9768000245094299,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9735000133514404,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/commodity","display_name":"Commodity","score":0.6292872428894043},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5815911293029785},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5273198485374451},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.4832509160041809},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4768441915512085},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4767545163631439},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4598141610622406},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.42818483710289},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.4106256365776062},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36251378059387207},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.28127411007881165},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.20279711484909058},{"id":"https://openalex.org/keywords/finance","display_name":"Finance","score":0.1328999400138855}],"concepts":[{"id":"https://openalex.org/C2779439359","wikidata":"https://www.wikidata.org/wiki/Q317088","display_name":"Commodity","level":2,"score":0.6292872428894043},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5815911293029785},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5273198485374451},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.4832509160041809},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4768441915512085},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4767545163631439},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4598141610622406},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.42818483710289},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.4106256365776062},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36251378059387207},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.28127411007881165},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.20279711484909058},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.1328999400138855},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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":2,"locations":[{"id":"doi:10.1142/s1793005719500054","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005719500054","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"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":"New Mathematics and Natural Computation","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:nmncxx:v:15:y:2019:i:01:n:s1793005719500054","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S1793005719500054","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.44999998807907104,"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W645595784","https://openalex.org/W1603219253","https://openalex.org/W1977348098","https://openalex.org/W2037789784","https://openalex.org/W2054357853","https://openalex.org/W2073138117","https://openalex.org/W2082302724","https://openalex.org/W2088792160","https://openalex.org/W2150080724","https://openalex.org/W2150179194","https://openalex.org/W4236526037","https://openalex.org/W4238617164","https://openalex.org/W4301724175"],"related_works":["https://openalex.org/W2372919335","https://openalex.org/W3200593740","https://openalex.org/W1919101720","https://openalex.org/W2354030279","https://openalex.org/W3122821197","https://openalex.org/W4390822878","https://openalex.org/W2181358592","https://openalex.org/W2389271083","https://openalex.org/W1989012530","https://openalex.org/W2387770655"],"abstract_inverted_index":{"The":[0],"forecasting":[1,20],"graphs":[2,14,73,77],"of":[3,8,45,70,81,124,135,141,147,157,167,174,187,189,192,206],"World":[4],"Bank,":[5],"Reserve":[6],"Bank":[7],"India,":[9],"etc.":[10],"are":[11,38,153,161],"mostly":[12],"line":[13,72],"or":[15,74,102],"time":[16,75,87],"series":[17,76],"graphs.":[18],"Any":[19],"contains":[21],"\u201cstandard":[22],"error\u201d":[23],"as":[24],"an":[25,125],"error":[26],"with":[27,84,138],"complicated":[28],"statistical":[29,101],"formulae.":[30],"A":[31],"keen":[32],"observation":[33],"shows":[34],"that":[35,79,165],"mathematical":[36,103],"patterns":[37],"available":[39],"in":[40,43,199],"nature,":[41],"but":[42],"most":[44,60],"the":[46,66,82,128,132,139,172,185],"cases,":[47],"it":[48,58],"is":[49,59,96],"difficult":[50],"for":[51,62],"us":[52,63],"to":[53,64,86,98,105,115,163,180,184],"recognize":[54],"these":[55,71,91,107,117],"patterns.":[56],"Similarly,":[57],"important":[61],"know":[65],"least":[67,92,108,118,214],"upper":[68,93,109,119,215],"bounds":[69],"so":[78],"peaks":[80],"prices":[83],"respect":[85],"will":[88],"not":[89],"exceed":[90,171],"bounds.":[94,110,120,216],"It":[95],"hard":[97],"find":[99],"any":[100],"tool":[104],"determine":[106],"Thus":[111],"we":[112,178],"give":[113],"methodology":[114],"obtain":[116],"We":[121],"show":[122,164],"existence":[123],"equilibrium":[126],"between":[127],"expected":[129,175],"price":[130,134,166],"and":[131,144],"original":[133],"a":[136,148,158,168],"commodity":[137,169],"help":[140],"local":[142],"functions":[143],"expansion":[145],"operators":[146],"bitopological":[149],"space.":[150],"These":[151],"methods":[152],"based":[154],"on":[155],"choice":[156],"consumer.":[159],"Examples":[160],"provided":[162],"cannot":[170],"interval":[173],"price.":[176],"Moreover,":[177],"try":[179],"provide":[181],"possible":[182],"answers":[183],"problem":[186],"\u201cControl":[188],"Economic":[190,207],"Variable\u201d":[191],"Morgenstern":[193],"[O.":[194],"Morgenstern,":[195],"Thirteen":[196],"critical":[197],"points":[198],"contemporary":[200],"economic":[201],"theory:":[202],"An":[203],"interpretation,":[204],"Journal":[205],"Literature":[208],"10(4)":[209],"1972":[210],"1163\u20131189]":[211],"by":[212],"determining":[213]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
