Об устойчивости результатов для правил агрегирования

Журнал Новой экономической ассоциации. 2022. № 5(57). С. 24–37.

Karabekyan D.

Some distortions are possible in the process of preference aggregation. For example, one voter who is pivotal for some preference profi le may not read instructions properly and accidently submit wrong preference. We study how different voting rules react to these distortions for three, four and fi ve alternatives with computer modelling. One of the results is: contrary to the results for the degree of manipulability estimations the most stable rule is the rule that requires less information from preferences when calculating fi nal results — threshold rule. With more alternatives the difference between this rule and rules that require information about the whole ranking is more visible. So, for the rules that require less information the probability to infl uence the results goes down when the number of alternatives increases. Another result: the resoluteness (weighted average number of alternatives in the fi nal outcome) is positively correlated with the stability of aggregation procedures. Threshold rule is the best one for the most cases when we consider both stability and resoluteness.

Keywords: устойчивость, stability, манипулирование, manipulability, threshold rule, пороговое правило, aggregation rules, правила агрегирования