Internal-state criticality in Bayesian-inverse-Bayesian inference (opens in new tab)

We propose Bayesian-inverse-Bayesian (BIB) inference in repeated games as a minimal generative model linking Bayesian inference, statistical mechanics, and heavy-tailed statistics. As a concrete instantiation we simulate repeated $N$-hand cyclic-dominance rock-paper-scissors, a discrete setting in which Nash-targeting algorithms collapse to uniform random play, so that any non-trivial dynamics must originate internally. Across a multi-axis s...