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Mistakes can stabilise the dynamics of rock-paper-scissors games

Fig 5

A schematic representation of a possible influence of execution errors on the RPS dynamics.

The original game possesses an unstable equilibrium . Once the execution errors are introduced, for some λ the game can obtain a stable equilibrium represented by a vertex i. As the probability to play mixed strategies in this case is high, it keeps disturbing the strategy execution of the players choosing strategy i according to Eq (7) resulting in an equilibrium that is possibly in the interior.

doi: https://doi.org/10.1371/journal.pcbi.1008523.g005