Existence of a Short-Run Equilibrium of the Dixit-Stiglitz-Krugman Model

Existence of a Short-Run Equilibrium of the Dixit-Stiglitz-Krugman Model

Each short-run equilibrium of the Dixit-Stiglitz-Krugman model is defined as a solution to the wage equation when the distributions of workers and farmers are given functions. We extend the discrete nonlinear operator contained in the wage equation as a set-valued operator. Applying the Kakutani fix...

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Main Authors: Minoru Tabata, Nobuoki Eshima
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2018/2193070
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spelling doaj-3022f900a8f04652a8c119fa1ba92d282020-11-24T23:08:39ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/21930702193070Existence of a Short-Run Equilibrium of the Dixit-Stiglitz-Krugman ModelMinoru Tabata0Nobuoki Eshima1Department of Mathematical Sciences, Osaka Prefecture University, Osaka 599-8531, JapanCenter for Educational Outreach and Admissions, Kyoto University, Kyoto 606-8501, JapanEach short-run equilibrium of the Dixit-Stiglitz-Krugman model is defined as a solution to the wage equation when the distributions of workers and farmers are given functions. We extend the discrete nonlinear operator contained in the wage equation as a set-valued operator. Applying the Kakutani fixed-point theorem to the set-valued operator, under the most general assumptions, we prove that the model has a short-run equilibrium.http://dx.doi.org/10.1155/2018/2193070
collection DOAJ
language English
format Article
sources DOAJ
author Minoru Tabata
Nobuoki Eshima
spellingShingle Minoru Tabata
Nobuoki Eshima
Existence of a Short-Run Equilibrium of the Dixit-Stiglitz-Krugman Model
Discrete Dynamics in Nature and Society
author_facet Minoru Tabata
Nobuoki Eshima
author_sort Minoru Tabata
title Existence of a Short-Run Equilibrium of the Dixit-Stiglitz-Krugman Model
title_short Existence of a Short-Run Equilibrium of the Dixit-Stiglitz-Krugman Model
title_full Existence of a Short-Run Equilibrium of the Dixit-Stiglitz-Krugman Model
title_fullStr Existence of a Short-Run Equilibrium of the Dixit-Stiglitz-Krugman Model
title_full_unstemmed Existence of a Short-Run Equilibrium of the Dixit-Stiglitz-Krugman Model
title_sort existence of a short-run equilibrium of the dixit-stiglitz-krugman model
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2018-01-01
description Each short-run equilibrium of the Dixit-Stiglitz-Krugman model is defined as a solution to the wage equation when the distributions of workers and farmers are given functions. We extend the discrete nonlinear operator contained in the wage equation as a set-valued operator. Applying the Kakutani fixed-point theorem to the set-valued operator, under the most general assumptions, we prove that the model has a short-run equilibrium.
url http://dx.doi.org/10.1155/2018/2193070
work_keys_str_mv AT minorutabata existenceofashortrunequilibriumofthedixitstiglitzkrugmanmodel
AT nobuokieshima existenceofashortrunequilibriumofthedixitstiglitzkrugmanmodel
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