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Rock, Paper, Scissors, Etc - The Theory of Regular Tournaments
release_rtdhjpnlizghjgp45is7hwfr6i
by
Ethan Akin
Released
as a article
.
2018
Abstract
Following the extension of the classic Rock-Paper-Scissors game of size 3 to
Rock-Paper-Scissors-Lizard-Spock of size 5, we consider further extensions to
larger odd numbers. Such extensions are modeled by directed graphs called
tournaments. The games we will consider are regular tournaments where each
strategy beats and is beaten by exactly half of the alternatives. While the
theory of tournaments has been well studied, these games, i.e. regular
tournaments, have special properties which we consider here. In the process we
introduce a number of constructions for such games.
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1806.11241v1
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