空间经济均衡的存在性:利用Borsuk-Ulam定理的证明

IF 3.6 1区数学 Q1 MATHEMATICS, APPLIED

Mathematical Models & Methods in Applied Sciences Pub Date : 2023-01-01 DOI:10.12988/ams.2023.917325

P. Stiefenhofer, A. Gregoriou

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引用次数: 0

摘要

本文利用具有线性需求和供给函数的代表性代理模型，研究了分布在地球赤道上的单一商品经济的空间经济均衡问题。我们利用Borsuk Ulam定理证明了存在具有相关均衡价格的对跖经济活动

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Existence of spatial economic equilibrium: a proof utilizing the Borsuk-Ulam theorem

In this paper, we study spatial economic equilibrium of a single good economy distributed over the earth’s equator using a representative agent model with linear demand and supply functions. We show using Borsuk Ulam’s theorem that there exist antipodal economic activities with associated equilibrium prices

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来源期刊

Mathematical Models & Methods in Applied Sciences 数学-应用数学

CiteScore

6.30

自引率

17.10%

发文量

审稿时长

1 months

期刊介绍： The purpose of this journal is to provide a medium of exchange for scientists engaged in applied sciences (physics, mathematical physics, natural, and technological sciences) where there exists a non-trivial interplay between mathematics, mathematical modelling of real systems and mathematical and computer methods oriented towards the qualitative and quantitative analysis of real physical systems. The principal areas of interest of this journal are the following: 1.Mathematical modelling of systems in applied sciences; 2.Mathematical methods for the qualitative and quantitative analysis of models of mathematical physics and technological sciences; 3.Numerical and computer treatment of mathematical models or real systems. Special attention will be paid to the analysis of nonlinearities and stochastic aspects. Within the above limitation, scientists in all fields which employ mathematics are encouraged to submit research and review papers to the journal. Both theoretical and applied papers will be considered for publication. High quality, novelty of the content and potential for the applications to modern problems in applied sciences and technology will be the guidelines for the selection of papers to be published in the journal. This journal publishes only articles with original and innovative contents. Book reviews, announcements and tutorial articles will be featured occasionally.