Definition:Wythoff's Game

Definition

Wythoff's game is a two-person game whose rules are as follows:

$(1): \quad$ The game starts with two piles of counters.

$(2): \quad$ Each player takes it in turns to remove either:

A number of counters from one pile

A number of counters from both pile such that the number of counters removed from each pile must be equal.

$(3): \quad$ The person who removes the last counter (or counters) is the winner.

Source of Name

This entry was named for Willem Abraham Wythoff.

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $1 \cdotp 61803 \, 39887 \, 49894 \, 84820 \, 45868 \, 34365 \, 63811 \, 77203 \, 09179 \, 80576 \ldots$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $1 \cdotp 61803 \, 39887 \, 49894 \, 84820 \, 45868 \, 34365 \, 63811 \, 77203 \, 09179 \, 80576 \ldots$