Multi-leader-follower potential games

In this paper, we discuss a particular class of Nash games, where the participants game (the players) are divided into two groups (leaders and followers) according to their position or influence on other players. Moreover, consider case, when leaders’ and/or followers’ can be described as potential game. This is subclass games that has been introduced by Monderer Shapley in 1996 beneficial properties reformulate bilevel We develope necessary sufficient conditions for equilibria present existence uniqueness results. Furthermore, some Examples illustrate our discussed analytical multi-leader follower form hierarchical games. The application these theoretical results various fields applications future research topic. they meant serve starting point developement efficient numerical solution methods multi-leader-follower