This paper proposes a Stackelberg game model to simulate the strategic interaction between electric vehicle (EV) users and charging stations in an EV charging market. In our model, charging stations act as leaders by setting prices first, and EV users act as followers, selecting stations to minimize their total cost in response to these prices. We show that the competition among EV users admits a unique symmetric mixed-strategy Nash equilibrium for any price profile, and that the EV charging game admits a unique Stackelberg equilibrium. In our experiments, we find that charging prices and waiting times are the primary factors influencing EV users’ choices, while travel distance tends to be less decisive when stations are evenly distributed.