Games, Winning, and Nimbers

Mr. John Museus
PhD Student
University of Wisconsin – Milwaukee

The Nimbers are a particularly peculiar Field which arises naturally when studying the winning strategies of Impartial Games. In this talk, we will give a brief overview of the constructions leading up to the Nimbers by studying three games: Nim, Subtraction, and Turning Corners. Along the way we will see what Tweedledee and Tweedledum have to do with winning games and give an airtight proof that 2 tims 2 is actually 3.