The Game of Maundy Block

The game of Maundy Block is the three-player variant of Maundy Cake, a classical combinatorial game. Even though to determine the solution of Maundy Cake is trivial, solving Maundy Block is challenging because of the identification of queer games, i.e., games where no player has a winning strategy.

Authors:

• Alessandro Cincotti

Keywords:

• Combinatorial game
• Maundy Cake
• Three-player partizan games.

References:

[1] E. R. Berlekamp, J. H. Conway, R. K. Guy, Winning Ways For Your
Mathematical Plays, 2nd ed. Natick, Massachusetts: A K Peters, 2001.
[2] A. Cincotti, "Three-player partizan games," Theoretical Computer Science,
vol. 332, pp. 367-389, 2005.
[3] J. H. Conway, On Numbers and Games, 2nd ed. Natick, Massachusetts:
A K Peters, 2001.
[4] J. Propp, "Three-player impartial games," Theoretical Computer Science,
vol. 233, pp. 263-278, 2000.