Pizza Theory, designed for exactly three players, does not rely on
chance and has simple turn actions, but the outcome each round is
unpredictable since each cook has his own idea for the best way to
create the pie.
To set up the game, each player takes his pizza cutter (a wooden stick)
and the die and topping counters that match. Each player places two
toppings on the game board in the spaces designated with an X. In each
round, the three players take turns placing one topping on the game
board; that topping cannot be placed adjacent to any of that player's
Each player then secretly chooses a number (1-6) on his die; players
reveal the numbers and lay their pizza cutters on the board in the space
matching their number. The cutters divide the pizza into one of 216
possible outcomes, creating a number of slices. In each slice if a
player has more toppings than each opponent, he replaces those
opponent's toppings with his own; if two players tie for the most
toppings, the toppings of the third player are removed but not replaced;
in a three-way tie, nothing changes. Whoever first places his 16
toppings on the game board wins.
With only two players, the cutter and toppings of the third color are
still used, with players taking turns placing those toppings on the
board. If all 16 toppings of the third color are on the board before
either player gets his toppings on the board, then both players lose.
Pizza theory is a gmae for 2-3 players (best with 3) and takes
approximately 15 minutes to play.