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

TL;DR

This paper introduces Noisy games, a new class of misinformation games where additive noise affects payoffs, analyzing their properties and how noise influences player behavior through theoretical formulas and experimental validation.

Contribution

It presents the concept of Noisy games, deriving formulas for behavioral consistency under noise, and provides experimental validation of these theoretical insights.

Findings

Formulas for behavioral consistency in Noisy games

Noise impact on players' strategic behavior

Experimental validation of theoretical results

Abstract

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.