I did a "tour" of classes the past few weeks, advertising my board game course next semester. While doing this, I brought my copy of "Lessons In Play" to show off. On the cover is the addition of a Konane game with a Toppling Dominoes game that equals an Amazons game.
I point out that it's pretty cool that we can express games this way. Unfortunately, I realized that I didn't really know anything about "that dominoes game". Hmmm...
It turns out the rules to this game are very simple! Here's how it works.
With a supply of dominoes, each colored green, blue or red, set some of them up in one row. Then the Blue and Red players alternate turns, each knocking one of their own colored dominoes (or any green domino) to the right or left, thus knocking down all the other dominoes on that side.
Notice that this game, just like normal Nim, is not terribly interesting alone. In just one row, any player who has a domino of their color (or green) on one of the edges of row can just topple that one, knock down all the other dominoes, and win as there are no more plays. In fact, in the case with only blue and red dominoes, if both ends are in your color, your opponent has no way to prevent you from winning.
With more than one game, however, this gets more interesting and it becomes important to find the actual value of each game to play best.
I don't know the complexity of analyzing this game, though.
A Domino-Covering Problem
3 months ago