English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In the context of computational social choice, we study voting methods thatassign a set of winners to each profile of voter preferences. A voting methodsatisfies the property of positive involvement (PI) if for any election inwhich a candidate x would be among the winners, adding another voter to theelection who ranks x first does not cause x to lose. Surprisingly, a number ofstandard voting methods violate this natural property. In this paper, weinvestigate different ways of measuring the extent to which a voting methodviolates PI, using computer simulations. We consider the probability (underdifferent probability models for preferences) of PI violations in randomlydrawn profiles vs. profile-coalition pairs (involving coalitions of differentsizes). We argue that in order to choose between a voting method that satisfiesPI and one that does not, we should consider the probability of PI violationconditional on the voting methods choosing different winners. We should alsorelativize the probability of PI violation to what we call voter potency, theprobability that a voter causes a candidate to lose. Although absolutefrequencies of PI violations may be low, after this conditioning andrelativization, we see that under certain voting methods that violate PI, muchof a voter's potency is turned against them - in particular, against theirdesire to see their favorite candidate elected.

Measuring Violations of Positive Involvement in Voting