PP-2005-29: Dynamic Logic of Preference Upgrade

PP-2005-29: van Benthem, Johan and Liu, Fenrong (2005) Dynamic Logic of Preference Upgrade. [Report]

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Abstract

Statements made to us not only update our current knowledge, but can also have other dynamic effects. In particular, suggestions or commands may 'upgrade' our current preferences. So far, much work has been done on knowledge update, but little on explicit dynamic logics of preference upgrade. We propose a logic of knowledge update plus preference upgrade that works just like a dynamic-epistemic logic in having a complete set of reduction axioms, but with some new twists in changing the relevant relations. This system can model issues of changing obligations, conflicting commands, or 'regret'. Moreover, it has a product update version which allows for preferences between actions, in addition to those between worlds, a move which has also been proposed elsewhere in dynamic logic. At this stage, we also find it convenient to look at the issues from a second perspective, viz. upgrade of explicit utilities. We also propose a dynamic logic of utility upgrade, on the analogy of product update systems for graded belief models. We show how this second system can deal with update logics for defaults. Some delicate differences come up when comparing our two kinds of preference upgrade. But construed either way, given the ubiquity of preference relations in many settings (deontic logic, games, conditional logic), we think understanding the dynamics of preference is important. We present some illustrations with defaults and obligations. And we conclude with what we have achieved right now and what we want to do next.

Item Type: Report
Report Nr: PP-2005-29
Series Name: Prepublication (PP) Series
Year: 2005
Uncontrolled Keywords: Preference Upgrade; Information Update; Dynamic Logic; Utility Upgrade
Depositing User: fenrong
Date Deposited: 12 Oct 2016 14:36
Last Modified: 12 Oct 2016 14:36
URI: https://eprints.illc.uva.nl/id/eprint/174

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