We report the results of a new tacit bargaining experiment that provides two key insights about the effects of payoff inequality on coordination and cooperation towards efficient outcomes. The experiment features the novel Pizza Night game, which can disentangle the effects of payoff inequality and conflict of interest. When coordination relies on focal points based on labelling properties, payoff inequality does not interfere with the successful use of those properties. When there are efficiency cues that assist coordination, payoff inequality is not an obstacle to the maximisation of efficiency. Conflict of interest is the main barrier to successful coordination.