A Study of Belief Revision Postulates in Multi-Agent Systems (Extended Version)

TL;DR

This paper extends classical AGM belief revision postulates to multi-agent systems within epistemic planning, providing formal frameworks and operators for dynamic belief updates among multiple agents.

Contribution

It generalizes belief revision postulates to multi-agent settings, introduces a new belief revision operator, and discusses challenges in iterated belief revision.

Findings

Generalized AGM postulates for multi-agent belief revision

A new full-meet multi-agent belief revision operator

Discussion of issues in defining iterated belief revision operators

Abstract

We investigate the belief revision problem in epistemic planning, i.e., what will be the beliefs of all agents in a multi-agent system after an agent gains the belief in some state property. Based on the standard representation in epistemic planning of agents' beliefs via a single multi-agent Kripke model, we generalize the classical AGM belief revision postulates to the multi-agent setting, with the aim to provide a formal framework for evaluating dynamic epistemic reasoning frameworks in which the beliefs of all agents as the result of actions are computed. As an example of a simple operator that satisfies all of the generalized AGM postulates, we present generalized full-meet multi-agent belief revision. We moreover define a generalization of the standard postulates for iterated revision, present a more sophisticated, event model based revision operator, and discuss the potential issues in defining an epistemic operator on Kripke models that can satisfy all of the generalized postulates for iterated multi-agent belief revision.