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Finite Cardinalities of Misère Quotients
Simon Rubinstein-Salzedo, Stephen Zhou
We find that partisan misère quotients can have any finite cardinality other than 3, answering a question of Allen. This contrasts with impartial misère quotients, which must have…
Evil Twins in Sums of Wildflowers
Simon Rubinstein-Salzedo, Stephen Zhou
A game is said to have the evil twin property if there exists such that and . We study sums of wildflowers, games of…
Stability for Take-Away Games
Simon Rubinstein-Salzedo, Sherry Sarkar
In this paper, we study a family of take-away games called -tag, parametrized by a real number . We show that for any given , there is a half-open interval cont…
Play in Candy Nim
Nitya Mani, Rajiv Nelakanti, Simon Rubinstein-Salzedo +1
Candy Nim is a variant of Nim in which both players aim to take the last candy in a game of Nim, with the added simultaneous secondary goal of taking as many candies as possible. W…