  This paper addresses the problem of finding the optimal Eco-Driving (ED)
speed profile of an electric Connected and Automated Vehicle (CAV) in an
isolated urban un-signalized intersection. The problem is formulated as a
single-level optimization and solved using Pontryagin's Minimum Principle
(PMP). Analytical solutions are presented for various conflicts that occur at
an intersection. Cooperation is introduced amongst CAVs as the ability to share
intentions. Two levels of cooperation, namely the Cooperative ED (C-ED) and
Non-Cooperative (NC-ED) algorithms are evaluated, in a simulation environment,
for energy efficiency with Intelligent Driver Model (IDM) as the baseline.
