The Game of Synchronized Cutcake

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