Existence of Spatial Economic Equilibrium: A Proof Utilizing the Borsuk-Ulam Theorem

Pascal Stiefenhofer, Andros Gregoriou

Research output: Contribution to journalArticlepeer-review

Abstract

In this note, 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.
Original languageEnglish
Number of pages5
JournalApplied Mathematical Sciences
Publication statusPublished - 21 Dec 2022

Keywords

  • Borsuk Ulam Theorem
  • Spatial Economic Equilibrium
  • Existence of Equilibrium

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