Rock, Paper, Scissors, Etc - The Theory of Regular Tournaments release_rtdhjpnlizghjgp45is7hwfr6i

by Ethan Akin

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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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Type  article
Stage   submitted
Date   2018-06-29
Version   v1
Language   en ?
arXiv  1806.11241v1
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