My first though here is that it would be nice to have a tactical TDM mode where the match starts with each team on a different side of an enclosed map (infantry only) and each player has only one life. This would encourage team work and be good practice for squad tactics. The fights would be tense and quick.

Then I thought about literally raising the stakes of the matches by placing a mandatory bounty on your own head. So for example a 1,000,000 isk match would require you to put down that amount of money to enter. Every player you kill earns you 1,000,000 isk. If you die right away then you are out the entry money and your equipment. If you kill half the opposing team yourself then you end up with a hefty profit.

I feel like this would be a very popular game mode and it would take advantage of some of the unique features of the game.

This could be managed by an NPC corporation that takes a cut of the bets (much like sales taxes on the EVE player market). Or it could be a module that player corps could rent to host such matches and gain profit from the percentages. Either way I don't think it should be loss-less. if you finish a match with a 1:1 KDR you should lose some money.