Decidability in complex social choices
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.
|Date of creation:||08 2013|
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- Callander, Steven & Wilson, Catherine H., 2006. "Context-dependent Voting," Quarterly Journal of Political Science, now publishers, vol. 1(3), pages 227-254, July.
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- Luigi Marengo & Simona Settepanella, 2010. "Social choice among complex objects," LEM Papers Series 2010/02, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
- Luigi Maregno & Corrado Pasquali, 2008. "A computational voting model," LEM Papers Series 2008/24, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
- Gennaro Amendola & Luigi Marengo & Simona Settepanella, 2012. "Decidability and manipulability in social choice," LEM Papers Series 2012/11, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy. Full references (including those not matched with items on IDEAS)
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