The Cayley Trick for Tropical Hypersurfaces With a View Toward Ricardian Economics

TL;DR

This survey reviews the Cayley Trick's role in tropical hypersurfaces and explores its recent application to Ricardian trade theory, linking polyhedral geometry with economics.

Contribution

It summarizes known results on tropical hypersurfaces and introduces their application to Ricardian economics, highlighting interdisciplinary connections.

Findings

Systematic study of tropical hypersurface arrangements

Application of tropical geometry to Ricardian trade theory

Enhanced understanding of polyhedral methods in economics

Abstract

The purpose of this survey is to summarize known results about tropical hypersurfaces and the Cayley Trick from polyhedral geometry. This allows for a systematic study of arrangements of tropical hypersurfaces and, in particular, arrangements of tropical hyperplanes. A recent application to the Ricardian theory of trade from econometrics is explored.