# Examining a Non-Standard Turn Order in Impartial Games

### Abstract

A combinatorial game is a two player game that has a well-defined ruleset and no element of chance. This means that assuming optimal play, the winner can be determined before the first turn is taken. In many well-known games, this gives the first player an advantage. In an effort to address this, we observe how both playersâ€™ strategies would change when the second player is given an extra turn at the start to compensate for having to go second. We focus on examples of impartial games under this change, and how it affects the strategic play of the games.

**Minnesota Journal of Undergraduate Mathematics**, [S.l.], v. 4, n. 1, mar. 2019. ISSN 2378-5810. Available at: <https://mjum.math.umn.edu/index.php/mjum/article/view/100>. Date accessed: 20 oct. 2020.