  We consider misinformation games, i.e., multi-agent interactions where the
players are misinformed with regards to the game that they play, essentially
having an \emph{incorrect} understanding of the game setting, without being
aware of their misinformation. In this paper, we introduce and study a new
family of misinformation games, called Noisy games, where misinformation is due
to structured (white) noise that affects additively the payoff values of
players. We analyse the general properties of Noisy games and derive
theoretical formulas related to ``behavioural consistency'', i.e., the
probability that the players behaviour will not be significantly affected by
the noise. We show several properties of these formulas, and present an
experimental evaluation that validates and visualises these results.
