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Rational Beliefs Real Agents Can Have – A Logical Point of View
Proceedings of the NIPS 2016 Workshop on Imperfect Decision Makers, PMLR 58:97-109, 2017.
Abstract
The purpose of this note is to outline a framework for uncertain
reasoning which drops unrealistic assumptions about the agents’
inferential capabilities. To do so, we envisage a pivotal role for
the recent research programme of \emphdepth-bounded Boolean logics.
We suggest that this can be fruitfully extended to the representation
of rational belief under uncertainty. By doing this we lay the
foundations for a prescriptive account of rational belief, namely one
that \emphrealistic agents, as opposed to idealised ones, can feasibly act upon.