---
title: Maker-Breaker Domination Game
url: https://www.emergentmind.com/topics/maker-breaker-domination-game
type: topic
---

# Maker-Breaker Domination Game

The Maker-Breaker Domination Game is a two-player positional game played on finite graphs, introduced as a specific instance of Maker-Breaker games where the objective is tied to graph domination. The players, Dominator and Staller, alternately claim previously unplayed vertices. Dominator wins if, at any moment, her set of claimed vertices forms a dominating set; Staller wins if Dominator cannot achieve this, equivalently if Staller is able to claim all

Source: https://www.emergentmind.com/topics/maker-breaker-domination-game