In multistable dot lattices, the orientation we perceive is attracted towards the orientation we perceived in the immediately preceding stimulus and repelled from the orientation for which most evidence was present previously. Theoretically-inspired models have been proposed to explain the co-occurrence of attractive and repulsive history effects in multistable dot lattice tasks, but these models artificially induced a direct influence of the previous trial on the current one, without detailing the process underlying such an influence. We conducted a simulation study to test whether the observed attractive and repulsive history effects could be explained by an efficient Bayesian observer model, which has previously been applied successfully to different tasks involving non-ambiguous stimuli. The efficient Bayesian observer model assumes variable encoding precision of orientations in line with their frequency of occurrence (i.e., efficient encoding). It also takes the dissimilarity between stimulus space and sensory space into account, which leads to different outcome predictions depending on the levels of external stimulus and internal sensory noise. A direct implementation of the efficient Bayesian observer model could not predict the empirically observed attractive effect of the previous percept, but a slightly adapted version of the model including both stimulus history and perceptual history was able to explain the co-occurrence of both attractive and repulsive temporal context effects. Furthermore, this model could reproduce the empirically observed strong positive correlation between individuals' attractive and repulsive effects, by assuming a positive correlation between temporal integration constants for stimulus history and for perceptual history. To conclude, the study brings evidence that efficient encoding and likelihood repulsion based on stimulus history can explain the repulsive context effect, whereas prior attraction based on perceptual history can explain the attractive temporal context effect in multistable dot lattice perception.