Project description:
Braess’ paradox describes the counter-intuitive result that commute times can be improved (i.e. reduced) by removal of roads, under certain conditions. My work in this area asks the question of how incremental improvements to the quality of the road network, especially under asymmetric conditions, affects commute times. This analysis has shown that particular incremental improvements can create improvements in the commute times, in contradiction to Braess’ paradox. This work is part of my larger interest in game theory, and is also open to students who wish to pursue problems of a more theoretical nature.
Presentations:
Branches, paths, and junctions: what do electrons know of free-will?