Furthermore, we discuss some Examples to illustrate our results.In this paper, we discussed analytical properties for multi-leader follower potential games, that form a subclass of hierarchical Nash games. The application of these theoretical results to various fields of applications are a future ...
Multi-leader鈥揷ommon-follower games arise when modelling two or more competitive firms, the leaders, that commit to their decisions prior to another group of competitive firms, the followers, that react to the decisions made by the leaders. These problems lead in a natural way to equilibrium ...
For the single-SMSP scenario, we analyze the properties of the leader-follower (L/F) Nash equilibrium and then reformulate the game as a mathematical program with equilibrium constraints (MPEC) to obtain the equilibrium. For the multi-SMSP scenario, the game is reinterpreted as an equilibrium ...
are equilibria of the modified multi-leader multi-follower game. Importantly, equilibria of this modified game contain the equilibria, if any, of the original game. In both instances, local minima and B-stationary points of the associated optimization problem are shown to be local Nash equi...
Moreover, the implementations of the proposed game are discussed. At last, numerical results show the convergence of the proposed game and the uniqueness of the SE. 展开 关键词: multi-leader multi-follower HetNets power control Stackelberg game ...
Game-Theoretic Modeling of Multi-Vehicle Interactions at Uncontrolled Intersections,Nan Li, Yu Yao, Ilya Kolmanovsky, Ella Atkins, and Anouck Girard。文章的abstract如下: 文章得基本思路是通过将两车建模成leader-follower game的方式实现了博弈推演,同时通过pair-wise的方式将两车博弈模型推广到了多车博弈上...
The noncooperative multi-leader-follower game can be formulated as a generalized Nash equilibrium problem where each player solves a nonconvex mathematical program with equilibrium constraints. Two major deficiencies exist with such a formulation: One is that the resulting Nash equilibrium may not exist...
摘要: We study a game model of multi-leader and one-follower in supply chain optimization where n suppliers compete to provide a single product for a manufacturer. We regard the selling price of each supplier as a pre-determined parameter and consider the case that suppliers compete on the ...
C. Pairwise leader-follower game to model multi-vehicle interactions 本节讨论了基于II-B节中提出的领导者-追随者博弈的车辆互动建模框架的一个计算可扩展的推广,应用于具有n辆交互车辆(n≥2)的交叉口交通场景。 因此,为了处理可能有大量交通参与者的交叉口交通场景,我们提出了一种替代的推广方法。我们的方法依...
The backward induction method and Monte-Carlo theory are used to solve the deterministic and stochastic forms of the proposed leader-follower game. The methodology is applied to choose the best restoration scenario for Urmia Lake, which is the biggest saltwater lake in the Middle East. In the ...