A modification of Wythoff's Nim

Rust, Dan and Fokkink, Robbert (2021). A modification of Wythoff's Nim. International Journal of Game Theory (In Press).

Abstract

We modify Wythoff's game by allowing an additional move, which we call a "split", and show how the P-positions are coded by the Tribonacci word. We analyze the table of letter positions of arbitrary k-bonacci words and find a mex-rule that generates the Quadribonacci table.

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