A multi-dimensional approach toward collective choice
by Yasumi Matsumoto
Global Business and Economics Review (GBER), Vol. 11, No. 3/4, 2009

Abstract: If we look carefully at Arrow's definition of independence of irrelevant alternatives, we are often puzzled as to why he does not examine collective choice in terms of a multi-dimensional framework. There is no reason why we should not employ a multi-dimensional approach as far as the definition is concerned. When we reconsider his original framework in terms of a multi-dimensional point of view, his other definition of unrestricted domain looks too demanding. Our actual preference relations may change according to the change of our view and our preference orderings seem rather independent even toward the same set of alternatives. Once we recognise this, it may be almost impossible to accept his unrestricted domain demanding free choice from all logically possible orderings of all alternatives, which may justify the notion that our choices are dimensionally separated. Our flexibility of choice may be rather restricted in an actual choice situation. By introducing a multidimensional approach, it is possible to have a more realistic explanation of our actual choice behaviour in the framework of collective choice theory. In this paper, the difference between the traditional single-dimensional approach and a new multi-dimensional approach is theoretically clarified.

Online publication date: Sun, 24-Jan-2010

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

 
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the Global Business and Economics Review (GBER):
Login with your Inderscience username and password:

Username:        Password:          Forgotten your password?

Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email subs@inderscience.com