Theories of speech accommodation and audience design have tended to focus on social identity functions of convergence and divergence in interaction. In this article, I focus on additional interactional phenomena that are under-studied but systematic. I present real-time data to illustrate variable control of speech features in style-shifting. These cues give listeners a sense of the default style of a speaker and their range of divergence from it, forming an ‘anchor’ from which to interpret the intended meanings of a specific person's style shifts. Rather than seeing convergence as a simple rapport-building move, I propose a system of non-linear inferential schemas, whereby the payoff of a style shift diminishes when it exceeds a certain threshold, due more to considerations of sincerity and credibility than social group indexicalities. These Bayesian inferences can be modelled within recent game-theoretic frameworks, allowing us to account for social but also cognitive payoffs and costs as part of how speakers and listeners interpret each other's speech styles in real time.