Error-driven Global Transition in a Competitive Population on a Network

TL;DR

This paper demonstrates that errors in data transmission can induce a phase transition in a competitive population playing the Minority Game on a network, driven by temporal symmetry breaking and characterized by the Crowd-Anticrowd theory.

Contribution

It introduces a novel analytical and numerical analysis of how transmission errors cause a global transition in networked competitive populations, linking error probability and connectivity to phase behavior.

Findings

Erroneous data transmission induces a phase transition.

The transition is characterized by temporal symmetry breaking.

The phase boundary depends on network connectivity and error probability.

Abstract

We show, both analytically and numerically, that erroneous data transmission generates a global transition within a competitive population playing the Minority Game on a network. This transition, which resembles a phase transition, is driven by a `temporal symmetry breaking' in the global outcome series. The phase boundary, which is a function of the network connectivity $p$ and the error probability $q$, is described quantitatively by the Crowd-Anticrowd theory.