Young voting rule

As in the related Dodgson rule, in the Young rule the election is also modified as least as possible in order to obtain a Condorcet winner. Here, the minimality of change is defined as the minimal number of removed votes from the election, such that there is a Condorcet winner.

Example

Consider the same example as for Dodgson, which does not have a Condorcet winner.

1: apple > banana > cherry 2: banana > cherry > apple 3: cherry > apple > banana 4: cherry > banana > apple

Which vote(s) must be removed in order to obtain a Condorcet winner? Remember to only remove a minimal number of votes.

Now evaluate this example on wrt. the Young rule. Also compare the output to that of the Dodgson rule. What can you observe? Why do we have several winners wrt. to the Young rule, but only one wrt. Dodgson?

Note: In the output, the kept votes are denoted by keep(preference,number), where number gives the number of votes kept per preference.

Try it out

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Output