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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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/2193070 |
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| _version_ | 1832566884607721472 |
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| author | Minoru Tabata Nobuoki Eshima |
| author_facet | Minoru Tabata Nobuoki Eshima |
| author_sort | Minoru Tabata |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-3022f900a8f04652a8c119fa1ba92d28 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-3022f900a8f04652a8c119fa1ba92d282025-02-03T01:02:50ZengWileyDiscrete 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 |
| spellingShingle | Minoru Tabata Nobuoki Eshima Existence of a Short-Run Equilibrium of the Dixit-Stiglitz-Krugman Model Discrete Dynamics in Nature and Society |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2018/2193070 |
| work_keys_str_mv | AT minorutabata existenceofashortrunequilibriumofthedixitstiglitzkrugmanmodel AT nobuokieshima existenceofashortrunequilibriumofthedixitstiglitzkrugmanmodel |