Can the flaws in the MCMC algorithm give some insight on stereotyping?

Stereotyping = guessing based on prior assumptions. Tends to be more accurate than guessing at random.
Why bad? People less likely to recognize individual differences and focus on group differences, which may be of a small magnitude. Humans are limited - focus on group differences => less attention to individual differences (Side note: less attention to individual differences = bad? Or only in individualistic cultures like US?)

Flaw of MCMC algorithm: the sampling process is biased, especially when features are highly correlated. Positive feedback loop, occasionally broken by chance. Slow convergence. Similar to stereotyping? Less accurate, and tends to "jump to conclusions".