Rational Beliefs Real Agents Can Have – A Logical Point of View

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Marcello D’Agostino, Tommaso Flaminio, Hykel Hosni ;
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.

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