Decidability in complex social choices

Gennaro Amendola, Luigi Marengo (), Davide Pirino (), Simona Settepanella and Akimichi Takemura

LEM Papers Series from Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy

Abstract: 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 proba- bilistic 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.

Keywords: Social choice; object construction; hyperplane arrangement; probability; tournament; algorithm (search for similar items in EconPapers)
Date: 2013
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Working Paper: Decidability in complex social choices (2012)
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Persistent link: https://EconPapers.repec.org/RePEc:ssa:lemwps:2013/21

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