# On the additive period length of the Sprague-Grundy function of certain Nim-like games

## TL;DR

This paper investigates the periodic structure of the Sprague-Grundy function in Nim-like games, providing bounds on the period and preperiod lengths, with implications for understanding game complexity.

## Contribution

It introduces new bounds on the additive period length of the Sprague-Grundy function for Nim-like games, including Wythoff's Game, advancing theoretical understanding.

## Key findings

- Bound established for the period length
- Bound established for the preperiod length
- Enhanced understanding of the game's combinatorial structure

## Abstract

We examine the structure of the additive period of the Sprague-Grundy function of Nim-like games, among them Wythoff's Game, and deduce a bound for the length of the period and preperiod.