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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- Callander, Steven & Wilson, Catherine H., 2006. "Context-dependent Voting," International Quarterly Journal of Political Science, now publishers, vol. 1(3), pages 227-254, July.
- Sendhil Mullainathan & Joshua Schwartzstein & Andrei Shleifer, 2006.
"Coarse Thinking and Persuasion,"
NBER Working Papers
12720, National Bureau of Economic Research, Inc.
- Bernholz, Peter, 1974. "Logrolling, Arrow-Paradox and Decision Rules-A Generalization," Kyklos, Wiley Blackwell, vol. 27(1), pages 49-62.
- 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.
- 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.
- Dutta, Bhaskar, 1988. "Covering sets and a new condorcet choice correspondence," Journal of Economic Theory, Elsevier, vol. 44(1), pages 63-80, February.
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