A note on a fractional Cournot-type model

Bibliographic Details
Main Author: Corrêa, Matheus Madeira
Publication Date: 2024
Other Authors: De Cezaro, Adriano, De Cezaro, Fabiana Travessini
Format: Article
Language: eng
Source: Revista Ciência e Natura (Online)
Download full: https://periodicos.ufsm.br/cienciaenatura/article/view/73978
Summary: In this contribution, we analyze the memory effect associated with fractional derivatives in a Cournot-type oligopoly model. Such an analysis will be made from the comparison of the solutions of a duopoly with fractional derivatives of different orders. We show that the firm that has more memory on the competition, given by the fractional derivative, will have advantages over its competitor in the long run. Moreover, we show that the choices of fractional derivatives αj ∈ (0,3/5) for both firms j = 1,2 will result in advantages in profit compared to the profit of firms without memory.
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network_name_str Revista Ciência e Natura (Online)
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spelling A note on a fractional Cournot-type modelUma nota sobre um modelo de Cournot fracionárioCournot-type modelOligopoliesMemoryFractional derivativesModelo do tipo cournotOligopóliosMemóriaDerivadas fracionáriasIn this contribution, we analyze the memory effect associated with fractional derivatives in a Cournot-type oligopoly model. Such an analysis will be made from the comparison of the solutions of a duopoly with fractional derivatives of different orders. We show that the firm that has more memory on the competition, given by the fractional derivative, will have advantages over its competitor in the long run. Moreover, we show that the choices of fractional derivatives αj ∈ (0,3/5) for both firms j = 1,2 will result in advantages in profit compared to the profit of firms without memory.Nesta contribuição, analisamos o efeito de memória associado a derivadas fracionárias em um modelo de oligopólio do tipo Cournot. Tal análise será feita a partir da comparação das soluções de um duopólio com derivadas fracionárias de diferentes ordens. Mostramos que a firma que tiver mais memória sobre a concorrência, dada pela derivada fracionária, terá vantagens sobre sua concorrente no longo prazo. Além disso, mostramos que as escolhas de derivadas fracionárias αj ∈ (0,3/5) para ambas as firmas j = 1,2 resultarão em vantagens no lucro quando comparado com o lucro das firmas sem memória.Universidade Federal de Santa Maria2024-12-19info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.ufsm.br/cienciaenatura/article/view/7397810.5902/2179460X73978Ciência e Natura; Vol. 46 (2024): Publicação contínua; e73978 Ciência e Natura; v. 46 (2024): Publicação contínua; e73978 2179-460X0100-8307reponame:Revista Ciência e Natura (Online)instname:Universidade Federal de Santa Maria (UFSM)instacron:UFSMenghttps://periodicos.ufsm.br/cienciaenatura/article/view/73978/65637Copyright (c) 2024 Ciência e Naturainfo:eu-repo/semantics/openAccessCorrêa, Matheus MadeiraDe Cezaro, AdrianoDe Cezaro, Fabiana Travessini2025-02-28T15:59:49Zoai:ojs.pkp.sfu.ca:article/73978Revistahttps://periodicos.ufsm.br/cienciaenatura/indexPUBhttps://periodicos.ufsm.br/cienciaenatura/oaicienciaenatura@ufsm.br || centraldeperiodicos@ufsm.br2179-460X0100-8307opendoar:2025-02-28T15:59:49Revista Ciência e Natura (Online) - Universidade Federal de Santa Maria (UFSM)false
dc.title.none.fl_str_mv A note on a fractional Cournot-type model
Uma nota sobre um modelo de Cournot fracionário
title A note on a fractional Cournot-type model
spellingShingle A note on a fractional Cournot-type model
Corrêa, Matheus Madeira
Cournot-type model
Oligopolies
Memory
Fractional derivatives
Modelo do tipo cournot
Oligopólios
Memória
Derivadas fracionárias
title_short A note on a fractional Cournot-type model
title_full A note on a fractional Cournot-type model
title_fullStr A note on a fractional Cournot-type model
title_full_unstemmed A note on a fractional Cournot-type model
title_sort A note on a fractional Cournot-type model
author Corrêa, Matheus Madeira
author_facet Corrêa, Matheus Madeira
De Cezaro, Adriano
De Cezaro, Fabiana Travessini
author_role author
author2 De Cezaro, Adriano
De Cezaro, Fabiana Travessini
author2_role author
author
dc.contributor.author.fl_str_mv Corrêa, Matheus Madeira
De Cezaro, Adriano
De Cezaro, Fabiana Travessini
dc.subject.por.fl_str_mv Cournot-type model
Oligopolies
Memory
Fractional derivatives
Modelo do tipo cournot
Oligopólios
Memória
Derivadas fracionárias
topic Cournot-type model
Oligopolies
Memory
Fractional derivatives
Modelo do tipo cournot
Oligopólios
Memória
Derivadas fracionárias
description In this contribution, we analyze the memory effect associated with fractional derivatives in a Cournot-type oligopoly model. Such an analysis will be made from the comparison of the solutions of a duopoly with fractional derivatives of different orders. We show that the firm that has more memory on the competition, given by the fractional derivative, will have advantages over its competitor in the long run. Moreover, we show that the choices of fractional derivatives αj ∈ (0,3/5) for both firms j = 1,2 will result in advantages in profit compared to the profit of firms without memory.
publishDate 2024
dc.date.none.fl_str_mv 2024-12-19
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.ufsm.br/cienciaenatura/article/view/73978
10.5902/2179460X73978
url https://periodicos.ufsm.br/cienciaenatura/article/view/73978
identifier_str_mv 10.5902/2179460X73978
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://periodicos.ufsm.br/cienciaenatura/article/view/73978/65637
dc.rights.driver.fl_str_mv Copyright (c) 2024 Ciência e Natura
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2024 Ciência e Natura
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de Santa Maria
publisher.none.fl_str_mv Universidade Federal de Santa Maria
dc.source.none.fl_str_mv Ciência e Natura; Vol. 46 (2024): Publicação contínua; e73978
Ciência e Natura; v. 46 (2024): Publicação contínua; e73978
2179-460X
0100-8307
reponame:Revista Ciência e Natura (Online)
instname:Universidade Federal de Santa Maria (UFSM)
instacron:UFSM
instname_str Universidade Federal de Santa Maria (UFSM)
instacron_str UFSM
institution UFSM
reponame_str Revista Ciência e Natura (Online)
collection Revista Ciência e Natura (Online)
repository.name.fl_str_mv Revista Ciência e Natura (Online) - Universidade Federal de Santa Maria (UFSM)
repository.mail.fl_str_mv cienciaenatura@ufsm.br || centraldeperiodicos@ufsm.br
_version_ 1839277887960645632

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