Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/89289
Authors: 
Marengo, Luigi
Settepanella, Simona
Year of Publication: 
2008
Series/Report no.: 
LEM Working Paper Series 2008/28
Abstract: 
In [MP08] L. Marengo and C. Pasquali present a model of object construction in majority voting and show that, in general, by appropriate changes of such bundles, different social outcomes may be obtained. In this paper we extend and generalize this approach by providing a geometric model of individual preferences and social aggregation based on hyperplanes and their arrangements. As an application of this model we give a necessary condition for existence of a local social optimum. Moreover we address the question if a social decision rule depends also upon the number of voting agents. More precisely: are there social decision rules that can be obtained by an odd (even) number of voting agent which cannot be obtained by only three (two) voting agent? The answer is negative. Indeed three (or two) voting agent can produce all possible social decision rules.
Subjects: 
social choice
object construction power
agenda power
intransitive cycles
arrangements
graph theory
JEL: 
D71
D72
Document Type: 
Working Paper

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