The multi-leader-follower game serves as an important model in game theory with many applications in economics, operations research and other fields. In this survey paper, we first recall some background materials in game theory and optimization. In particular, we present several extensions of Nash equilibrium problems including the multi-leader-follower game. We then give some applications as ...

We model a real-world case problem as a price competition model between two leader-follower supply chains that each of them consists of one manufacturer and one retailer. T he manufacturer produces partially differentiated products and sells to market through his retailer. The retailer sells the products of manufacturer to market by adding some values to the product and gains margin as a fracti...

The leader-follower phenomenon is natural for many mobile objects acting collectively. It is possible to find the leader of such collective motion from trajectory data and use it to understand the motion pattern of the group. This work proposes a technique for detecting leader-follower relationships from trajectories of mobile objects, and represents them as a graph sequence. We apply this meth...

The majority of research on bilevel programming has centered on the linear version of the problem in which only one leader and single follower are involved. This paper proposes a general model and Kuhn-Tucker approach for linear bilevel programming problems in which one leader and multiple follower(s) are involved, and there may (not) be sharing variables among the followers. Finally, a numeric...

In hazardous/emergency situations, public safety is of the utmost concern. areas where human access not possible or restricted due to hazardous a system robot that can be distantly controlled mandatory. There are many applications in which force cannot applied directly while using physical sensors. Therefore, this research, robust controller for pursuing trajectory and estimations deprived any ...

In this paper, real-time implementation of multirobot convoying behavior utilizing neuro-fuzzy control is presented. With only nine rules, the follower convoys the leader closely and smoothly by varying its speed and changing its direction. When the leader stops, the follower stops very close to the specified safe distance (within an inch). The follower backs up quickly when the leader moves ba...

The multi-leader-follower game can be looked on as a generalization of the Nash equilibrium problem and the Stackelberg game, which contains several leaders and a number of followers. Recently, the multi-leader-follower game has been drawing more and more attention, for example, in electricity power markets. However, when we formulate a general multi-leader-follower game as a single-level game,...