“…The Bayesian network [Barber, 2012] corresponding to the most general case of our generative model in Equation 1and Equation 2. The arrows show conditional dependence, the grey nodes show the hidden variables (C 1:t+1 and Θ 1:t+1 ), the red nodes show the observations (Y 1:t+1 ), and the blue nodes show the cue variables (X 1:t+1 1A [ Adams and MacKay, 2007, Fearnhead and Liu, 2007, Nassar et al, 2010, Wilson et al, 2013, Liakoni et al, 2021, C. generative model for modeling human inference about binary sequences in experiments like the one in Figure 1B [Meyniel et al, 2016, Maheu et al, 2019, Modirshanechi et al, 2019, Mousavi et al, 2022, Gijsen et al, 2021, D. generative model corresponding to variants of bandit and volatile bandit tasks like the one in Figure 1C [ Behrens et al, 2007, Findling et al, 2021, Horvath et al, 2021, where the cue variable Xt = At is a participant's action, and E. classic Markov Decision Processes (MDPs) to model experiments like the one in Figure 1D [Sutton and Barto, 2018, Schultz et al, 1997, Gläscher et al, 2010, Daw et al, 2011, Huys et al, 2015, Lehmann et al, 2019, where the cue variable Xt = (A t−1 , Y t−1 ) consists of previous action and observation. See subsection 2.2 for details.…”