On a two-player transversal game on a square grid

TL;DR

This paper analyzes a two-player game played on a square grid where players aim to achieve a transversal, providing insights into the game's strategic aspects and outcomes.

Contribution

It offers a concise analysis of the transversal achievement game on a square grid, clarifying strategic considerations and potential outcomes.

Findings

Characterizes winning strategies for players

Identifies key structural properties of the game

Provides bounds on game duration

Abstract

We give a short analysis of the \emph{transversal achievement game} on a square grid due to M. Erickson (2010).