  In this paper, we study the existence of equilibrium in a
single-leader-multiple-follower game with decision-dependent chance constraints
(DDCCs), where decision-dependent uncertainties (DDUs) exist in the constraints
of followers. DDUs refer to the uncertainties impacted by the leader's
strategy, while the leader cannot capture their exact probability
distributions. To address such problems, we first use decision-dependent
ambiguity sets under moment information and Cantelli's inequality to transform
DDCCs into second-order cone constraints. This simplifies the game model by
eliminating the probability distributions. We further prove that there exists
at least one equilibrium point for this game by applying Kakutani's fixed-point
theorem. Finally, a numerical example is provided to show the impact of DDUs on
the equilibrium of such game models.
