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On the Individual and Coalitional Manipulability of q-Paretian Social Choice Rules

In: Advances in Collective Decision Making

Author

Listed:
  • Fuad Aleskerov

    (HSE University
    Institute of Control Sciences of Russian Academy of Sciences)

  • Alexander Ivanov

    (HSE University)

  • Daniel Karabekyan

    (HSE University)

  • Vyacheslav Yakuba

    (HSE University
    Institute of Control Sciences of Russian Academy of Sciences)

Abstract

We study the degree of individual and coalitional manipulability of q-Paretian social choice rules under Impartial Culture. Manipulability is defined as a situation, when an agent or a coalition, which consists of some agents, misrepresents her/their preferences to obtain a better outcome of the social choice rule. We study a class of q-Paretian social choice rules, which consists of four rules: Strong q-Paretian simple majority rule, Strong q-Paretian plurality rule, Strongest q-Paretian simple majority rule, and Condorcet practical rule. For the cases of 3, 4, and 5 alternatives and for the cases from 3 to 100 agents, we use computer modelling to calculate a number of manipulability indices. We provide the analysis of the results for different cases.

Suggested Citation

  • Fuad Aleskerov & Alexander Ivanov & Daniel Karabekyan & Vyacheslav Yakuba, 2023. "On the Individual and Coalitional Manipulability of q-Paretian Social Choice Rules," Studies in Choice and Welfare, in: Sascha Kurz & Nicola Maaser & Alexander Mayer (ed.), Advances in Collective Decision Making, pages 95-111, Springer.
  • Handle: RePEc:spr:stcchp:978-3-031-21696-1_7
    DOI: 10.1007/978-3-031-21696-1_7
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