Decred holders can time-lock DCR in exchange for tickets that allow them to participate in consensus and governance, giving them sovreignty over the network.
Each block produced by Proof of Work miners calls 5 random tickets to vote, these tickets vote to approve or reject the regular transaction tree of the previous block and determine if that miner receives their reward. This gives ticket voters power to regulate the behavior of PoW miners. Blocks are not valid unless they include at least 3 votes, and the reward is reduced if less than 5 are included. This enhances the security of the network and makes it more difficult to attack.
Whenever a change to the network's consensus rules is proposed this triggers an on chain vote. When tickets vote to approve the previous block they can also vote yes or no to any open consensus rules change proposal. If proposals are approved by 75% of tickets over a one month period, they will automatically activate one month later.
Politeia voting happens off chain and steers the course of the project's development, approving policies and deciding how Decred's Treasury funds should be spent. Politeia takes a snapshot of live tickets when proposals open for voting and those tickets are eligible to vote yes or no on the proposal.
I did the first and last suggestion, the other 2 are in my view too detailed to go into a 60 second intro to the different forms of voting.
Maybe we should be discussing extending the scope and duration of the video? Or more in depth videos about some of these aspects? This script was requested by @MotionFactory to do a kind of demo video that would go along with a proposal, so we can be thinking about what that proposal should involve as much as what the script for this short demo should include.