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Decidability in complex social choices

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Listed:
  • Gennaro Amendola
  • Luigi Marengo
  • Davide Pirino
  • Simona Settepanella
  • Akimichi Takemura

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.

Suggested Citation

  • Gennaro Amendola & Luigi Marengo & Davide Pirino & Simona Settepanella & Akimichi Takemura, 2013. "Decidability in complex social choices," LEM Papers Series 2013/21, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
  • Handle: RePEc:ssa:lemwps:2013/21
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    References listed on IDEAS

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