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Manipulability of Aggregation Procedures for the Case of Large Numbers of Voters

In: Data Analysis and Optimization

Author

Listed:
  • Alexander Ivanov

    (National Research University Higher School of Economics (NRU HSE)
    Institute of Control Sciences of Russian Academy of Sciences (ICS RAS))

Abstract

Manipulation is a situation when an agent misrepresents her preferences to obtain a better result of an aggregation procedure. It was proven in literature that there is no non-dictatorial aggregation procedure which is non-manipulable. A number of papers studying the degree of manipulability of aggregation procedures have been published since then. Such papers either look for theoretical formulae for particular cases or use computer modelling for empirical estimations. In case of computer modelling, only small numbers of voters are considered in the literature, usually up to 100 agents. We use computer modelling to obtain the values of manipulability indices for the case of large numbers of voters, for example, for the cases of 100–10,000 voters. The obtained results allow to make empirical approximations of the manipulability of aggregation procedures and to find out the least manipulable ones.

Suggested Citation

  • Alexander Ivanov, 2023. "Manipulability of Aggregation Procedures for the Case of Large Numbers of Voters," Springer Optimization and Its Applications, in: Boris Goldengorin & Sergei Kuznetsov (ed.), Data Analysis and Optimization, pages 157-168, Springer.
    • Handle: RePEc:spr:spochp:978-3-031-31654-8_10
    DOI: 10.1007/978-3-031-31654-8_10
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