Social choice on complex objects: A geometric approach

Arbeitspapier

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.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Series: LEM Working Paper Series ; No. 2008/28

Classification and Topics

• Classification: Wirtschaft ; Social Choice; Clubs; Committees; Associations ; Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
• Subject: social choice ; object construction power ; agenda power ; intransitive cycles ; arrangements ; graph theory

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Marengo, Luigi ; Settepanella, Simona
• Event: Veröffentlichung
• (who): Scuola Superiore Sant'Anna, Laboratory of Economics and Management (LEM)
• (where): Pisa
• (when): 2008

Further information

• Handle: http://hdl.handle.net/10419/89289
• Last update: 10.03.2025, 11:43 AM CET