In my thesis I studied three different problems that belong to the intersection of Game Theory and Computer Science. They correspond to a Contention Resolution problem regarding selfish users of a wireless transmission channel,the Price of Stability of a Fair Cost Sharing Network Design problem for undirected graphs, and an application of Evolutionary Game Theory as an evaluation tool for the efficiency of queue policies that can be employed at an Internet router.
In this PhD defense talk I will briefly present those problems and the results obtained. I will mainly focus on the problem of Contention Resolution, describing its challenges and the solutions proposed.