English

Sequences of Arbitrages

Trading and Market Microstructure 2010-04-06 v1 Rings and Algebras

Abstract

The goal of this article is to understand some interesting features of sequences of arbitrage operations, which look relevant to various processes in Economics and Finances. In the second part of the paper, analysis of sequences of arbitrages is reformulated in the linear algebra terms. This admits an elegant geometric interpretation of the problems under consideration linked to the asynchronous systems theory. We feel that this interpretation will be useful in understanding more complicated, and more realistic, mathematical models in economics.

Keywords

Cite

@article{arxiv.1004.0561,
  title  = {Sequences of Arbitrages},
  author = {Victor Kozyakin and Brian O'Callaghan and Alexei Pokrovskii},
  journal= {arXiv preprint arXiv:1004.0561},
  year   = {2010}
}

Comments

18 pages, 4 figures, 4 tables

R2 v1 2026-06-21T15:06:21.939Z