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math.CO2021
Impartial games with entailing moves
Urban Larsson, Richard J. Nowakowski, Carlos P. Santos
Combinatorial Game Theory has also been called `additive game theory', whenever the analysis involves sums of independent game components. Such {\em disjunctive sums} invoke compar…
math.NT2021
Game values of arithmetic functions
Douglas E. Iannucci, Urban Larsson
Arithmetic functions in Number Theory meet the Sprague-Grundy function from Combinatorial Game Theory. We study a variety of 2-player games induced by standard arithmetic functions…