1 citations · 1 across the 1 of their papers we have counts for
5 papers
On Banzhaf and Shapley-Shubik Fixed Points and Divisor Voting Systems
Alex Arnell, Richard Chen, Evelyn Choi +3
The Banzhaf and Shapley-Shubik power indices were first introduced to measure the power of voters in a weighted voting system. Given a weighted voting system, the fixed point of su…
On Base 3/2 and its Sequences
Ben Chen, Richard Chen, Joshua Guo +8
We discuss properties of integers in base 3/2. We also introduce many new sequences related to base 3/2. Some sequences discuss patterns related to integers in base 3/2. Other sequ…
On Variations of Nim and Chomp
June Ahn, Benjamin Chen, Richard Chen +8
We study two variations of Nim and Chomp which we call Monotonic Nim and Diet Chomp. In Monotonic Nim the moves are the same as in Nim, but the positions are non-decreasing numbers…
Alternator Coins
Benjamin Chen, Ezra Erives, Leon Fan +9
We introduce a new type of coin: \textit{the alternator}. The alternator can pretend to be either a real or a fake coin (which is lighter than a real one). Each time it is put on a…
Who Is Guilty?
Benjamin Chen, Ezra Erives, Leon Fan +9
We discuss a generalization of logic puzzles in which truth-tellers and liars are allowed to deviate from their pattern in case of one particular question: "Are you guilty?"