I was working on an Applied Math project on allocation and I had an interesting idea about extending it to providing incentives to different "players" in the allocation process.
But I am clueless about how incentives are designed. For instance, if I had 2 tickets to a football game and 5 people that I am trying to allocate to (2 get 1 each), how do I provide incentives for someone who doesn't really want to go to say no and stuff (basically, ensure that the "best" 2 actually get the tickets).
I just want to know where should I get started on reading about this. I understand this is probably under Game Theory and probably a subpart of Mechanism Design but is there a specialized field of Math/Econ for designing incentives?