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Decidability in complex social choices

Author

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

Abstract

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.

Suggested Citation

  • 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

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    8. Saari, Donald G., 2001. "The Sum of the Parts Can Violate the Whole," American Political Science Review, Cambridge University Press, vol. 95(2), pages 415-433, June.
    9. Alex Scott & Mark Fey, 2012. "The minimal covering set in large tournaments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(1), pages 1-9, January.
    10. Luigi Marengo & Corrado Pasquali, 2011. "The construction of choice: a computational voting model," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 6(2), pages 139-156, November.
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    Keywords

    Social rule; object; optimum; probability; tournament;
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