{"id":"https://openalex.org/W4303856930","doi":"https://doi.org/10.3390/math10193600","title":"Competitive Pricing for Multiple Market Segments Considering Consumers\u2019 Willingness to Pay","display_name":"Competitive Pricing for Multiple Market Segments Considering Consumers\u2019 Willingness to Pay","publication_year":2022,"publication_date":"2022-10-01","ids":{"openalex":"https://openalex.org/W4303856930","doi":"https://doi.org/10.3390/math10193600"},"language":"en","primary_location":{"id":"doi:10.3390/math10193600","doi":"https://doi.org/10.3390/math10193600","is_oa":true,"landing_page_url":"https://doi.org/10.3390/math10193600","pdf_url":"https://www.mdpi.com/2227-7390/10/19/3600/pdf?version=1665409443","source":{"id":"https://openalex.org/S4210192031","display_name":"Mathematics","issn_l":"2227-7390","issn":["2227-7390"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2227-7390/10/19/3600/pdf?version=1665409443","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102789711","display_name":"Juan P\u00e9rez","orcid":"https://orcid.org/0000-0003-3640-2514","observed_orcids":["https://orcid.org/0000-0003-3640-2514","https://orcid.org/0000-0003-4732-1621"]},"institutions":[{"id":"https://openalex.org/I189977406","display_name":"Universidad de Los Andes, Chile","ror":"https://ror.org/03v0qd864","country_code":"CL","type":"education","lineage":["https://openalex.org/I189977406"]}],"countries":["CL"],"is_corresponding":true,"raw_author_name":"Juan P\u00e9rez","raw_affiliation_strings":["Facultad de Ingenier\u00eda y Ciencias Aplicadas, Universidad de Los Andes, Santiago 12455, Chile"],"raw_orcid":"https://orcid.org/0000-0003-3640-2514","affiliations":[{"raw_affiliation_string":"Facultad de Ingenier\u00eda y Ciencias Aplicadas, Universidad de Los Andes, Santiago 12455, Chile","institution_ids":["https://openalex.org/I189977406"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030726857","display_name":"H\u00e9ctor L\u00f3pez-Ospina","orcid":"https://orcid.org/0000-0001-8144-6394","observed_orcids":["https://orcid.org/0000-0001-8144-6394"]},"institutions":[{"id":"https://openalex.org/I189977406","display_name":"Universidad de Los Andes, Chile","ror":"https://ror.org/03v0qd864","country_code":"CL","type":"education","lineage":["https://openalex.org/I189977406"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"H\u00e9ctor L\u00f3pez-Ospina","raw_affiliation_strings":["Facultad de Ingenier\u00eda y Ciencias Aplicadas, Universidad de Los Andes, Santiago 12455, Chile"],"raw_orcid":"https://orcid.org/0000-0001-8144-6394","affiliations":[{"raw_affiliation_string":"Facultad de Ingenier\u00eda y Ciencias Aplicadas, Universidad de Los Andes, Santiago 12455, Chile","institution_ids":["https://openalex.org/I189977406"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102789711"],"corresponding_institution_ids":["https://openalex.org/I189977406"],"apc_list":{"value":1800,"currency":"CHF","value_usd":1885},"apc_paid":{"value":1800,"currency":"CHF","value_usd":1885},"fwci":1.3516,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.84186092,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"10","issue":"19","first_page":"3600","last_page":"3600"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11161","display_name":"Consumer Market Behavior and Pricing","score":0.9839000105857849,"subfield":{"id":"https://openalex.org/subfields/1406","display_name":"Marketing"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11161","display_name":"Consumer Market Behavior and Pricing","score":0.9839000105857849,"subfield":{"id":"https://openalex.org/subfields/1406","display_name":"Marketing"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":0.012199999764561653,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11043","display_name":"Merger and Competition Analysis","score":0.0012000000569969416,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/competitive-pricing","display_name":"competitive pricing","score":0.9449999928474426},{"id":"https://openalex.org/keywords/market-segmentation","display_name":"market segmentation","score":0.6299999952316284},{"id":"https://openalex.org/keywords/consumer-willingness-to-pay","display_name":"consumer willingness to pay","score":0.8709999918937683},{"id":"https://openalex.org/keywords/price-bundling","display_name":"price bundling","score":0.6269999742507935},{"id":"https://openalex.org/keywords/profit-maximization","display_name":"profit maximization","score":0.7329999804496765},{"id":"https://openalex.org/keywords/non-concave-optimization","display_name":"non-concave optimization","score":0.8429999947547913},{"id":"https://openalex.org/keywords/particle-swarm-optimization","display_name":"particle swarm optimization","score":0.9649999737739563},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.5519999861717224},{"id":"https://openalex.org/keywords/telecommunications-pricing","display_name":"telecommunications pricing","score":0.6700000166893005},{"id":"https://openalex.org/keywords/market-share","display_name":"market share","score":0.7080000042915344},{"id":"https://openalex.org/keywords/soft-constraints","display_name":"soft constraints","score":0.5170000195503235}],"concepts":[{"id":"https://openalex.org/C2777780509","wikidata":"https://www.wikidata.org/wiki/Q1377422","display_name":"Profit maximization","level":3,"score":0.5926910042762756},{"id":"https://openalex.org/C2779391423","wikidata":"https://www.wikidata.org/wiki/Q17009728","display_name":"Dynamic pricing","level":2,"score":0.5292156338691711},{"id":"https://openalex.org/C2777364431","wikidata":"https://www.wikidata.org/wiki/Q140813","display_name":"Willingness to pay","level":2,"score":0.5155767798423767},{"id":"https://openalex.org/C181622380","wikidata":"https://www.wikidata.org/wiki/Q26911","display_name":"Profit (economics)","level":2,"score":0.4845396876335144},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.46599259972572327},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.44759753346443176},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4405183792114258},{"id":"https://openalex.org/C2780193402","wikidata":"https://www.wikidata.org/wiki/Q3394670","display_name":"Pricing strategies","level":2,"score":0.4167259633541107},{"id":"https://openalex.org/C2777970221","wikidata":"https://www.wikidata.org/wiki/Q7049482","display_name":"Nonlinear pricing","level":2,"score":0.41425538063049316},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.40195417404174805},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36865273118019104},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.30145785212516785},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10388180613517761},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/math10193600","doi":"https://doi.org/10.3390/math10193600","is_oa":true,"landing_page_url":"https://doi.org/10.3390/math10193600","pdf_url":"https://www.mdpi.com/2227-7390/10/19/3600/pdf?version=1665409443","source":{"id":"https://openalex.org/S4210192031","display_name":"Mathematics","issn_l":"2227-7390","issn":["2227-7390"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:gam:jmathe:v:10:y:2022:i:19:p:3600-:d:931600","doi":null,"is_oa":false,"landing_page_url":"https://www.mdpi.com/2227-7390/10/19/3600/","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,"listed_in":[],"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:doaj.org/article:3a8f6c72e340420582371bc398086f87","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/3a8f6c72e340420582371bc398086f87","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics, Vol 10, Iss 19, p 3600 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/math10193600","doi":"https://doi.org/10.3390/math10193600","is_oa":true,"landing_page_url":"https://doi.org/10.3390/math10193600","pdf_url":"https://www.mdpi.com/2227-7390/10/19/3600/pdf?version=1665409443","source":{"id":"https://openalex.org/S4210192031","display_name":"Mathematics","issn_l":"2227-7390","issn":["2227-7390"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2300628667","display_name":"UNDERSTANDING BUSINESS DYNAMICS THROUGH ANALYTICS   THEORY AND APPLICATIONS IN CHURN PREVENTION AND CREDIT ASSIGNMENT","funder_award_id":"1220822","funder_id":"https://openalex.org/F4320331146","funder_display_name":"Agencia Nacional de Investigaci\u00f3n y Desarrollo"}],"funders":[{"id":"https://openalex.org/F4320331146","display_name":"Agencia Nacional de Investigaci\u00f3n y Desarrollo","ror":"https://ror.org/05btm5233"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4303856930.pdf","grobid_xml":"https://content.openalex.org/works/W4303856930.grobid-xml"},"referenced_works_count":70,"referenced_works":["https://openalex.org/W5685912","https://openalex.org/W1480693798","https://openalex.org/W1823723575","https://openalex.org/W1875348914","https://openalex.org/W1970538402","https://openalex.org/W1972206060","https://openalex.org/W1979002123","https://openalex.org/W1979285137","https://openalex.org/W1981347126","https://openalex.org/W1983664223","https://openalex.org/W1990117446","https://openalex.org/W1993885295","https://openalex.org/W1994332067","https://openalex.org/W1995568330","https://openalex.org/W2001599527","https://openalex.org/W2003601578","https://openalex.org/W2004677978","https://openalex.org/W2022133628","https://openalex.org/W2027739325","https://openalex.org/W2029882430","https://openalex.org/W2032138310","https://openalex.org/W2035007352","https://openalex.org/W2052316683","https://openalex.org/W2057432446","https://openalex.org/W2058914639","https://openalex.org/W2061344771","https://openalex.org/W2066116725","https://openalex.org/W2068322845","https://openalex.org/W2073669146","https://openalex.org/W2076827015","https://openalex.org/W2080699258","https://openalex.org/W2109364787","https://openalex.org/W2110807823","https://openalex.org/W2117686421","https://openalex.org/W2118849052","https://openalex.org/W2123584613","https://openalex.org/W2129589037","https://openalex.org/W2139386984","https://openalex.org/W2145113795","https://openalex.org/W2170185426","https://openalex.org/W2170921639","https://openalex.org/W2172206714","https://openalex.org/W2322756736","https://openalex.org/W2331979391","https://openalex.org/W2340001776","https://openalex.org/W2462876761","https://openalex.org/W2473594773","https://openalex.org/W2549412325","https://openalex.org/W2573216388","https://openalex.org/W2618389395","https://openalex.org/W2792149395","https://openalex.org/W2803781351","https://openalex.org/W2887371850","https://openalex.org/W2900814849","https://openalex.org/W2905598982","https://openalex.org/W2912428558","https://openalex.org/W2947639073","https://openalex.org/W3048146246","https://openalex.org/W3122946301","https://openalex.org/W3123202918","https://openalex.org/W3123294608","https://openalex.org/W3124368401","https://openalex.org/W3125709435","https://openalex.org/W3129581403","https://openalex.org/W4240491954","https://openalex.org/W4255534128","https://openalex.org/W4283791128","https://openalex.org/W4285027826","https://openalex.org/W4290725517","https://openalex.org/W6628581860"],"related_works":["https://openalex.org/W2899757271","https://openalex.org/W2340001776","https://openalex.org/W2918129704","https://openalex.org/W2549412325","https://openalex.org/W3088998007","https://openalex.org/W4367051081","https://openalex.org/W2395131680","https://openalex.org/W2117684603","https://openalex.org/W2947639073","https://openalex.org/W1994093514"],"abstract_inverted_index":{"Defining":[0],"prices":[1,174,199,230],"and":[2,68,95,114,121,147,160,263,281,298,305,320],"in":[3,40,62,87],"which":[4],"consumers\u2019":[5,91,124,276],"segments":[6],"to":[7,54,78,93,127,151,171,197,205,223,251,268,279,310,326],"put":[8],"the":[9,20,46,110,133,137,145,148,153,173,179,182,189,202,228,256,259,264,272,275,283,300],"company\u2019s":[10],"efforts":[11],"within":[12,132],"competitive":[13,88],"markets":[14,64],"selling":[15],"bundles":[16],"is":[17,101,140,221],"challenging.":[18],"On":[19,45],"one":[21],"hand,":[22,48],"methodologies":[23,249],"focused":[24],"on":[25],"competition":[26],"are":[27,231,247],"usually":[28],"appropriate":[29],"for":[30,36,82,112,178],"analyzing":[31],"market":[32,306],"dynamics":[33],"but":[34],"not":[35,242,317],"helping":[37],"decision":[38,195],"makers":[39,196],"specific":[41],"tasks":[42],"regarding":[43,302],"pricing.":[44,328],"other":[47],"simplistic":[49],"cost-oriented":[50],"methods":[51],"may":[52],"fail":[53],"capture":[55],"consumer":[56],"behavior.":[57],"We":[58,74,108],"see":[59],"these":[60,225,314],"characteristics":[61],"such":[63],"as":[65,323],"telecommunications,":[66],"retail,":[67],"financial":[69],"service":[70],"providers,":[71],"among":[72,181],"others.":[73],"propose":[75],"a":[76,102,117,161,291,294],"framework":[77],"support":[79,327],"pricing":[80],"decisions":[81,304],"products":[83,113],"with":[84,144,236],"multiple":[85,96,149],"attributes":[86],"markets,":[89],"considering":[90],"willingness":[92,126,278],"pay":[94,128],"segments.":[97],"The":[98],"proposed":[99],"model":[100,120,154,159,208],"nonlinear":[103,158],"profit":[104,138],"maximization":[105],"probabilistic":[106],"problem.":[107],"represent":[109],"demands":[111],"services":[115],"through":[116,129,155],"multinomial":[118,214],"logit":[119],"then":[122],"include":[123,224],"maximum":[125,277],"soft":[130],"constraints":[131],"demand":[134],"function.":[135],"Since":[136],"function":[139],"non-concave,":[141],"we":[142,217,289,324],"deal":[143],"nonlinearity":[146],"optima":[150],"solve":[152],"an":[156],"equivalent":[157],"particle":[162],"swarm":[163],"optimization":[164],"(PSO)":[165],"heuristic.":[166],"This":[167],"setting":[168],"allows":[169],"us":[170],"find":[172,269],"that":[175,184,219,240],"achieve":[176],"equilibrium":[177],"game":[180],"firms":[183],"maximize":[185],"their":[186],"profits.":[187],"Including":[188],"features":[190],"shown,":[191],"our":[192,207,311],"approach":[193],"enables":[194],"set":[198],"optimally.":[200],"Estimating":[201],"parameters":[203],"needed":[204],"run":[206],"requires":[209],"more":[210,237],"effort":[211],"than":[212],"traditional":[213],"approaches.":[215],"Nevertheless,":[216],"show":[218,299],"it":[220],"essential":[222],"aspects":[226,315],"because":[227],"optimal":[229],"different":[232],"from":[233,293],"those":[234,253],"obtained":[235],"simplified":[238],"models":[239],"do":[241,325],"have":[243,316],"them.":[244],"Additionally,":[245],"there":[246],"well-established":[248],"available":[250],"estimate":[252],"parameters.":[254],"Both":[255],"determination":[257],"of":[258,274],"first-order":[260],"optimality":[261],"conditions":[262],"PSO":[265],"implementation":[266],"allow":[267],"equilibria,":[270],"quantify":[271],"effect":[273],"pay,":[280],"assess":[282],"competition\u2019s":[284],"relevance.":[285],"As":[286],"complementary":[287],"material,":[288],"analyze":[290],"case":[292],"Chilean":[295],"telecommunications":[296],"company":[297],"results":[301],"price":[303],"share":[307],"effects.":[308],"According":[309],"literature":[312],"review,":[313],"been":[318],"handled":[319],"quantified":[321],"jointly,":[322]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2022-10-09T00:00:00"}