  We study a model of stochastic evolutionary game dynamics in which the
probabilities that agents choose suboptimal actions are dependent on payoff
consequences. We prove a sample path large deviation principle, characterizing
the rate of decay of the probability that the sample path of the evolutionary
process lies in a prespecified set as the population size approaches infinity.
We use these results to describe excursion rates and stationary distribution
asymptotics in settings where the mean dynamic admits a globally attracting
state, and we compute these rates explicitly for the case of logit choice in
potential games.
