Sprague–Grundy theorem
id:
sprague-grundy-theorem-201-8768508
title:
Sprague–Grundy theorem
text:
In combinatorial game theory, the Sprague–Grundy theorem states that every impartial game under the normal play convention is equivalent to a one-heap game of nim, or to an infinite generalization of nim. It can therefore be represented as a natural number, the size of the heap in its equivalent game of nim, as an ordinal number in the infinite generalization, or alternatively as a nimber, the value of that one-heap game in an algebraic system whose addition operation combines multiple heaps to
brand slug:
wiki
category slug:
encyclopedia
description:
Every impartial game position is equivalent to a position in the game of nim
original url:
https://en.wikipedia.org/wiki/Sprague%E2%80%93Grundy_theorem
date created:
date modified:
2023-08-15T17:19:22Z
main entity:
{"identifier":"Q1687147","url":"https://www.wikidata.org/entity/Q1687147"}
image:
fields total:
13
integrity:
14