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math.DS2018
Rock, Paper, Scissors, Etc -- Topics in the Theory of Regular Tournaments
Ethan Akin
The classic Rock-Paper-Scissors game of size 3 and its extension, Rock-Paper-Scissors-Lizard-Spock, are modeled by directed graphs called tournaments. They can be further extended…
math.DS2018
Smale Strategies For The N-Person Iterated Prisoner's Dilemma
Ethan Akin, Slawomir Plaskacz, Joanna Zwierzchowska
Adapting methods introduced by Steven Smale, we describe good strategies for a symmetric version of the Iterated Prisoner's Dilemma with n players.
math.DS2018
Induced Fuzzy Topological Spaces: A Characterization
Ethan Akin
We introduce a simple property, affine invariance, which characterizes within the class of fuzzy topological spaces those which are induced from an underlying topology on the space…