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cs.CC2024
The Randomized Query Complexity of Finding a Tarski Fixed Point on the Boolean Hypercube
Simina Brânzei, Reed Phillips, Nicholas Recker
The Knaster-Tarski theorem, also known as Tarski's theorem, guarantees that every monotone function defined on a complete lattice has a fixed point. We analyze the query complexity…
cs.GT2024
Dueling Over Dessert, Mastering the Art of Repeated Cake Cutting
Simina Brânzei, MohammadTaghi Hajiaghayi, Reed Phillips +2
We consider the setting of repeated fair division between two players, denoted Alice and Bob, with private valuations over a cake. In each round, a new cake arrives, which is ident…