Rock-paper-scissors

Additional weapons

Generalized rock-paper-scissors games where the players have a choice of more than three weapons have been studied. Any variation of rock paper scissors is an oriented graph, where the nodes represent the symbols (weapons) choosable by the players, and an edge from A to B means that A defeats B. Each oriented graph is a potentially playable rock paper scissors game. According to theoretical calculations, the number of distinguishable (i.e. not isomorphic) oriented graphs grows with the number of weapons = 3, 4, 5, ... as follows: