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Erscheinungsjahr: 
2013
Schriftenreihe/Nr.: 
LEM Working Paper Series No. 2013/21
Verlag: 
Scuola Superiore Sant'Anna, Laboratory of Economics and Management (LEM), Pisa
Zusammenfassung: 
In this paper we develop on a geometric model of social choice among bundles of interdependent elements (objects). Social choice can be seen as a process of search for optima in a complex multi-dimensional space and objects determine a decomposition of such a space into subspaces. We present a series of numerical and probabilistic results which show that such decompositions in objects can greatly increase decidability, as new kind of optima (called local and u-local) are very likely to appear also in cases in which no generalized Condorcet winner exists in the original search space.
Schlagwörter: 
social choice
object construction
hyperplane arrangement
probability
tournament
algorithm
JEL: 
D03
D71
D72
Dokumentart: 
Working Paper

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