Decidability in complex social choices
AbstractIn 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.
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Bibliographic InfoPaper provided by Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy in its series LEM Papers Series with number 2013/21.
Date of creation: 08 2013
Date of revision:
Social choice; object construction; hyperplane arrangement; probability; tournament; algorithm;
Other versions of this item:
- NEP-ALL-2013-10-18 (All new papers)
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