Order-independent transformative decision rules

Martin Peterson

Sven Hansson

pp. 323-342

in: Knowledge, rationality & action, Synthese 147 (2), 2005.

Abstract

A transformative decision rule alters the representation of a decision problem, either by changing the set of alternative acts or the set of states of the world taken into consideration, or by modifying the probability or value assignments. A set of transformative decision rules is order-independent in case the order in which the rules are applied is irrelevant. The main result of this paper is an axiomatic characterization of order-independent transformative decision rules, based on a single axiom. It is shown that the proposed axiomatization resolves a problem observed by Teddy Seidenfeld in a previous axiomatization by Peterson.

Cited authors

Seidenfeld Teddy