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Decidability in complex social choices


  • Luigi Marengo
  • Davide Pirino
  • Simona Settepanella
  • Akimichi Takemura


Recently, Marengo and Settepanella (2010) introduced a model of social choice among bundles of interdependent elements. In this paper we prove that their voting model is highly decidable, i.e. a group of agents that agrees to use such voting process has an high probability to reach a final decision. We also better qualify the degree of manipulability of such a final decision, showing that it is independent not only from the agenda, but also from the initial condition. Therefore we show that the Marengo and Settepanella (2010) model has nice properties of decidability and can be fruitfully used both for normative and positive analyzes of collective choices among complex interdependent elements.

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  • Luigi Marengo & Davide Pirino & Simona Settepanella & Akimichi Takemura, 2012. "Decidability in complex social choices," LEM Papers Series 2012/12, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
  • Handle: RePEc:ssa:lemwps:2012/12

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    References listed on IDEAS

    1. Callander, Steven & Wilson, Catherine H., 2006. "Context-dependent Voting," Quarterly Journal of Political Science, now publishers, vol. 1(3), pages 227-254, July.
    2. Dutta, Bhaskar, 1988. "Covering sets and a new condorcet choice correspondence," Journal of Economic Theory, Elsevier, vol. 44(1), pages 63-80, February.
    3. repec:cup:apsrev:v:77:y:1983:i:02:p:435-445_24 is not listed on IDEAS
    4. Sendhil Mullainathan & Joshua Schwartzstein & Andrei Shleifer, 2008. "Coarse Thinking and Persuasion," The Quarterly Journal of Economics, Oxford University Press, vol. 123(2), pages 577-619.
    5. Bernholz, Peter, 1974. "Logrolling, Arrow-Paradox and Decision Rules-A Generalization," Kyklos, Wiley Blackwell, vol. 27(1), pages 49-62.
    6. 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.
    7. 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.
    8. 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.
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    Social rule; object; optimum; probability; tournament;

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