The problem of whether to vaccinate or not can be thought of as a game theory problem: choosing to vaccinate incurs some cost, but prevents an individual from becoming infected; however, due to herd immunity if enough other people vaccinate then an individual can reap the benefits of vaccination without actually vaccinating. My idea was to write down the vaccination problem as a game theory problem and investigate that on its own, or to tie it into an epidemic model. It might be nice to code it up and see what happens (maybe on a lattice?).

Very open to ideas and discussion before the retreat- I'll post updates as and when they come.