Measuring Violations of Positive Involvement in Voting

نویسندگان

چکیده

In the context of computational social choice, we study voting methods that assign a set winners to each profile voter preferences. A method satisfies property positive involvement (PI) if for any election in which candidate x would be among winners, adding another who ranks first does not cause lose. Surprisingly, number standard violate this natural property. paper, investigate different ways measuring extent violates PI, using computer simulations. We consider probability (under models preferences) PI violations randomly drawn profiles vs. profile-coalition pairs (involving coalitions sizes). argue order choose between and one not, should violation conditional on choosing winners. also relativize what call potency, causes Although absolute frequencies may low, after conditioning relativization, see under certain much voter's potency is turned against them - particular, their desire favorite elected.

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ژورنال

عنوان ژورنال: Electronic proceedings in theoretical computer science

سال: 2021

ISSN: ['2075-2180']

DOI: https://doi.org/10.4204/eptcs.335.17