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Nonrational Belief Paradoxes as Byzantine Failures

Miller, Ryan (2022) Nonrational Belief Paradoxes as Byzantine Failures. [Preprint]

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Abstract

David Christensen and others argue that Dutch Strategies are more like peer disagreements than Dutch Books, and should not count against agents’ conformity to ideal rationality. I review these arguments, then show that Dutch Books, Dutch Strategies, and peer disagreements are only possible in the case of what computer scientists call Byzantine Failures—uncorrected Byzantine Faults which update arbitrary values. Yet such Byzantine Failures make agents equally vulnerable to all three kinds of epistemic inconsistencies, so there is no principled basis for claiming that only avoidance of true Dutch Books characterizes ideally rational agents. Agents without Byzantine Failures can be ideally rational in a very strong sense, but are not normative for humans. Bounded rationality in the presence of Byzantine Faults remains an unsolved problem.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Miller, Ryan66millerr@cua.edu0000-0003-0268-2570
Keywords: Byzantine Generals, Dutch Strategies, Ideal Rationality, Dutch books, peer disagreements
Subjects: Specific Sciences > Computer Science
Specific Sciences > Psychology > Judgment and Decision Making
Specific Sciences > Probability/Statistics
Depositing User: Ryan Miller
Date Deposited: 24 Nov 2022 15:08
Last Modified: 24 Nov 2022 15:08
Item ID: 21466
Subjects: Specific Sciences > Computer Science
Specific Sciences > Psychology > Judgment and Decision Making
Specific Sciences > Probability/Statistics
Date: 2022
URI: https://philsci-archive.pitt.edu/id/eprint/21466

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