Even an infinite bureaucracy eventually makes a decision

TL;DR

The paper demonstrates that decision-making processes through infinite committee structures can still yield definitive outcomes, extending finite decision models and contributing to matroid theory.

Contribution

It introduces a novel extension of decision-making models to infinite structures, linking to the Matroid Intersection Conjecture.

Findings

Infinite committee trees can produce determinate decisions

Extension of finite decision models to infinite cases

New special case of the Matroid Intersection Conjecture

Abstract

We show that the fact that a political decision filtered through a finite tree of committees gives a determined answer generalises in some sense to infinite trees. This implies a new special case of the Matroid Intersection Conjecture.