---
tag: 2PN25F8SA3
kind: concept
name: Avoider-Enforcer game
sources:
  - wikipedia: en:58939052@r1224725455
    locator: Avoider-Enforcer game
    note: adopted
    mention: wikipedia://en/58939052
    sections: [Summary]
same_as:
  wikidata: Q60791341
  wikipedia: Avoider-Enforcer game
inventory: [PQ2015ZRYX]
---

## Summary

An **Avoider-Enforcer game** (also called **Avoider-Forcer game** or **Antimaker-Antibreaker game**) is a kind of positional game. Like most positional games, it is described by a set of *positions/points/elements* ($X$) and a [[family of subsets|05Q6G4EH2G]] ($\mathcal{F}$), which are called here the *losing-sets*. It is played by two players, called Avoider and Enforcer, who take turns picking elements until all elements are taken. Avoider wins if he manages to avoid taking a losing set; Enforcer wins if he manages to make Avoider take a losing set.