How a Losing Team like the Canadiens can Steal a Stanley Cup: A Quantitative Intransitive Hockey Analysis

TL;DR

This paper introduces a mathematical model using competitive intransitivity to predict hockey team strategies, showing how teams with different priorities can unexpectedly win championships under a salary cap.

Contribution

It presents a novel quantitative framework applying intransitive game theory to hockey, revealing how strategic investment in key areas can lead to surprising outcomes.

Findings

Teams can adopt counter-strategies to overcome opponents within the same salary cap.

Intransitive relationships can predict unexpected championship victories.

Strategic variation in offense, defense, and goaltending influences playoff success.

Abstract

We present here a simple mathematical model that provides a successful strategy, quantitatively, to ending the continued championship futility experienced by Canadian Hockey Teams. Competitive Intransitivity is used here as a simple predictive framework to capture how investing strategically, under a uniform salary cap, in just 3 independently variable aspects of the sport (such as Offence, Defence, and a Goaltender), by just 3 Hockey Teams applying differing salary priorities (such as Montreal, Boston, and New York), can lead to rich and perhaps surprisingly unexpected outcomes in play, similar to rolling intransitive dice together in a series of head-to-head games. A possibly fortunate conclusion of this analysis is the prediction that for any Team's chosen strategy (such as New York's), a counter strategy within the same salary cap can be adopted by a playoff opponent (such as Montreal) which will prove victorious over a long playoff series, enabling a pathway to end prolonged championship futility.