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On the algorithms of exact estimations of manipulability of social choice rules for the case of 3 alternatives

Author

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  • Ivanov, A.

    (National Research University "Higher School of Economics", Moscow, Russia
    Institute of Control Sciences, Russian Academy of Sciences (ICS RAS), Moscow, Russia)

Abstract

Manipulation is a phenomenon when an agent or a group of agents misrepresent her/their preferences in the ballots in order to obtain a better outcome of the social choice. It has been proven that there is no not-dictatorial social choice rule which is nonmanipulable. There are two approaches to find the least manipulable social choice rules. The first one implies finding a theoretical formula for each rule. However, there are many known social choice rules and a list of manipulability indices which make this task very hard. The second approach is to generate a set of random profiles to obtain an approximate values of manipulability indices. We developed an algorithm which allows to get not approximate, but exact values of manipulability indices for any given social choice for the case of 3 alternatives. We provide the description of the algorithm, its optimizations, memory and time needed compared to the previously known algorithms, as well as the examples of the results.

Suggested Citation

  • Ivanov, A., 2022. "On the algorithms of exact estimations of manipulability of social choice rules for the case of 3 alternatives," Journal of the New Economic Association, New Economic Association, vol. 57(5), pages 14-23.
    • Handle: RePEc:nea:journl:y:2022:i:57:p:14-23
    DOI: 10.31737/2221-2264-2022-57-5-1
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    References listed on IDEAS

    as
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    4. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
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    More about this item

    Keywords

    manipulability; strategic manipulation; social choice rules; voting;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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