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We consider misinformation games, i.e., multi-agent interactions where theplayers are misinformed with regards to the game that they play, essentiallyhaving an \emph{incorrect} understanding of the game setting, without beingaware of their misinformation. In this paper, we introduce and study a newfamily of misinformation games, called Noisy games, where misinformation is dueto structured (white) noise that affects additively the payoff values ofplayers. We analyse the general properties of Noisy games and derivetheoretical formulas related to ``behavioural consistency'', i.e., theprobability that the players behaviour will not be significantly affected bythe noise. We show several properties of these formulas, and present anexperimental evaluation that validates and visualises these results.

Noisy Games: A Study on the Effect of Noise on Game Specifications