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Manipulability of majority relation-based collective decision rules

P. 82–91.
Aleskerov F. T., Ivanov A., Karabekyan D., Yakuba V. I.

In the problem of aggregation of rankings or preferences of several agents, there is a well-known result that reasonable social ranking is not strategy-proof. In other words, there are some situations when at least one agent can submit insincere ranking and change the final result in a way beneficial to him. We call this situation manipulable and using computer modelling we study 10 majority relation-based collective decision rules and compare them by their degree of manipulability, i.e. by the share of the situation in which manipulation is possible. We found that there is no rule that is best for all possible cases but some rules like Fishburn rule, Minimal undominated set and Uncovered set II are among the least manipulable ones.

Language: English
DOI
Keywords: manipulationExtended preferencesVoting rules
Publication based on the results of:
Analysis, choice and decision making in socio-economic, political and financial spheres: new models, methods and algorithms (2017)

In book

9th KES International Conference on Intelligent Decision Technologies, KES-IDT 2017; Vilamoura; Portugal; 21 June 2017 до 23 June 2017, Smart Innovation, Systems and Technologies
Springer, 2018.
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