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

P. 95–111.
Aleskerov F. T., Ivanov A., Karabekyan D., Yakuba V. I.

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.

Language: English
DOI
Keywords: манипулированиеmanipulability
Publication based on the results of:
Study of models and methods of decision-making under conditions of deep uncertainty: anticipating natural disasters and logistics challenges (2023)

In book

Advances in Collective Decision Making: Interdisciplinary Perspectives for the 21st Century
Springer, 2023.
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