Parallel Belief Revision via Order Aggregation

TL;DR

This paper introduces a new method for extending serial iterated belief revision operators to handle parallel change, using order aggregators called TeamQueue, providing a unified and principled approach.

Contribution

It proposes a general framework for iterated parallel belief revision based on TeamQueue aggregators, unifying existing rationality postulates.

Findings

Provides a principled extension of serial to parallel belief revision

Recovers plausible properties without endorsing dubious ones

Offers a unifying explanation for rationality postulates

Abstract

Despite efforts to better understand the constraints that operate on single-step parallel (aka "package", "multiple") revision, very little work has been carried out on how to extend the model to the iterated case. A recent paper by Delgrande & Jin outlines a range of relevant rationality postulates. While many of these are plausible, they lack an underlying unifying explanation. We draw on recent work on iterated parallel contraction to offer a general method for extending serial iterated belief revision operators to handle parallel change. This method, based on a family of order aggregators known as TeamQueue aggregators, provides a principled way to recover the independently plausible properties that can be found in the literature, without yielding the more dubious ones.