The Game of Synchronized Cutcake

Abstract

In synchronized games the players make their moves simultaneously and, as a consequence, the concept of turn does not exist. Synchronized Cutcake is the synchronized version of Cutcake, a classical two-player combinatorial game. Even though to determine the solution of Cutcake is trivial, solving Synchronized Cutcake is challenging because of the calculation of the game's value. We present the solution for small board size and some general results for a board of arbitrary size