Comply/Constrain Games or Games with a Muller Twist
Furman H. Smith, Pantelimon Stănică · 2002
In this paper we call attention to a category of combinatorial games, which we call comply/constrain games or games with a Muller twist. We say that we put a Muller twist on a familiar game if we modify that game so that each move in the familiar game is followed by a constraint on the next player’s move. We solve Odd-or-Even Nim, which is a variant of Nim with the Muller twist that each player specifies whether their opponent’s next removal is to be of an odd or even number of objects, solve a generalization of Tallor-Short Wyt Queens, which puts a Muller twist on Wyt Queens, report some results for Fibonacci-or-Not Nim, which is a take-away game in which the possible constraints are that the number removed be a Fibonacci number or not, and propose some other games, such as Nought-or-Cross.