I've actually tried this before, under the notion that I'd get a higher chance of landing the job relative to other applicants. I wouldn't do it again - I'm pretty sure the real outcome is that I lowered my perceived value. Signalling!

Now that I phrase it in light of game theory though - if it had worked, it would be a neat demonstration of how two super-rational players win out over game-theoretically rational players. What I describe is also how the free market is supposed to work - my benefit in "cooperating" derives from cutting the competition out of the trade by offering a better deal.