Multi voting and dynamic voting
Allow users to first create the voting elements and then have them vote on them within the same session. Another enhancement would be to allow the voters to have 3 votes which they could place on what they wanted. All on one item or split them up on 2 or 3.
So, we actually have some capabilities to do these right now.
You can set any Multiple Choice Poll to allow more than one response per person. This will allow your participants to respond up to a set number of times where they can vote for one option 3 times, or split their votes across multiple. You can see details for how here: https://www.polleverywhere.com/guide#responses_per_participant
Otherwise, if you are interested in having your participants submit responses and allow the rest of your participants to vote on them – then I would try our Q&A or Upvote Poll. This allows your participants to submit responses and then lets the whole group up or downvote these responses for discussion. You can see more details here: https://www.polleverywhere.com/question-and-answer-brainstorm