A concept of antifragility for dynamical systems

TL;DR

This paper introduces a novel concept of antifragility for dynamical systems based on the convexity of a new logarithmic rate, providing methods to compute it for positive linear systems and interpreting antifragility through strategy alternations.

Contribution

It defines antifragility for dynamical systems using a new logarithmic rate and offers computational methods for positive linear systems, linking antifragility to strategic pulsed alternations.

Findings

Antifragility is characterized by the convexity of a new logarithmic rate.

Methods to compute this rate for positive linear systems are provided.

Antifragility is interpreted through pulsed alternations of strategies.

Abstract

This paper defines antifragility for dynamical systems as convexity of a newly introduced "logarithmic rate". It shows how to compute this rate for positive linear systems, and it interprets antifragility in terms of pulsed alternations of extreme strategies in comparison to average uniform strategies.