# Independence of the least/most preferred

Independence of the least/most preferred (ILMP) is satisfied when:

ILP: by adding a vote where candidate X has theworstpossible rating (or rank), then that vote doesn'tincreasethe winning chance of X.

and

IMP: by adding a vote where candidate X has thebestpossible rating (or rank), then that vote doesn'tdecreasethe winning chance of X.

This criterion must apply regardless of how the other candidates are rated.

Meeting these criterion favors the use of intermediate ratings (if present in the voting system), reducing strategies such as min-maxing. Specifically, IMP avoids rating minimization, while ILP avoids rating maximization, and it's better.

Douglas Woodall's terms for these criteria are mono-add-top for IMP and mono-remove-bottom for ILP.