Gorman Polar Form preferences.
Manipulation involves distorting the way that agents reach decisions, form preferences, and select goals.
(1978) for a more detailed discussion on the local nature of Gorman Polar Form preferences.
We start by providing a revealed preference characterisation of Gorman Polar Form preferences for an individual consumer.
We also establish nonparametric conditions for individual consumption to be representable in terms of Gorman Polar Form preferences.
In most ordinary choice situations, the objects of choice, over which we must have or form preferences, are not like this.
Referring to Definition 2, this effectively imposes Gorman Polar Form preferences with a common (bleft( mathbf {p}right) ) index for all consumers.
These domain conditions parallel the usual conditions that apply to indirect utility functions representing Gorman Polar Form preferences; see our discussion following Definition 2 in the main text.
In addition to a few interesting and rather important side results (like a revealed preference characterisation of Gorman Polar Form preferences for an individual consumer), we proposed a revealed preference test for exact linear aggregation.
Section 2 contains our main theoretical results, which provide a revealed preference characterisation of individual Gorman Polar Form preferences and an easy-to-implement necessary and sufficient nonparametric test for exact linear aggregation.
Indeed, it is difficult to see how/why a rational agent can/should form preferences over nonsensical acts (although see Dreier 1996 for an argument that this is not such an important issue).
