Transformative decision rules

A transformative decision rule transforms a given decision problem into another by altering the structure of the initial problem, either by changing the framing or by modifying the probability or value assignments. Examples of decision rules belonging this class are the principle of insufficient reason, Isaac Levi's condition of E-admissibility, the de minimis rule, and the precautionary principle. In the papers some foundational issues concerning transformative decision rules are investigated, and a couple of formal properties of this class of rules are proved.