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相关论文: Multi-objective Stackelberg Game Between a Regulat…

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Stackelberg games are a classic example of bilevel optimization problems, which are often encountered in game theory and economics. These are complex problems with a hierarchical structure, where one optimization task is nested within the…

计算机科学与博弈论 · 计算机科学 2013-07-25 Ankur Sinha , Pekka Malo , Anton Frantsev , Kalyanmoy Deb

Stackelberg games originate where there are market leaders and followers, and the actions of leaders influence the behavior of the followers. Mathematical modelling of such games results in what's called a Bilevel Optimization problem.…

计算机科学与博弈论 · 计算机科学 2023-12-07 Pravesh Koirala , Forrest Laine

This contribution deals with a two-level discrete decision problem, a so-called Stackelberg strategic game: A Subset Sum setting is addressed with a set $N$ of items with given integer weights. One distinguished player, the leader, may…

离散数学 · 计算机科学 2018-01-12 Ulrich Pferschy , Gaia Nicosia , Andrea Pacifici

The multilevel reverse Stackelberg game is considered. In this game, the leader controls the outcome by announcing a strategy as a function of decision variables of the followers to his/her own decision space. Corresponding to the leader's…

最优化与控制 · 数学 2023-03-01 Seyfe Belete Worku , Birilew Belayneh Tsegaw , Semu Mitiku Kassa

We consider Stackelberg pricing games, which are also known as bilevel pricing problems, or combinatorial price-setting problems. This family of problems consists of games between two players: the leader and the follower. There is a market…

计算机科学与博弈论 · 计算机科学 2025-11-11 Christoph Grüne , Dorothee Henke , Eva Rotenberg , Lasse Wulf

We study payoff manipulation in repeated multi-objective Stackelberg games, where a leader may strategically influence a follower's deterministic best response, e.g., by offering a share of their own payoff. We assume that the follower's…

计算机科学与博弈论 · 计算机科学 2025-08-27 Phurinut Srisawad , Juergen Branke , Long Tran-Thanh

This paper formulates a Stackelberg game between a coordination agent and participating homes to control the overall load consumption of a residential neighborhood. Each home optimizes a comfort-cost trade off to determine a load schedule…

最优化与控制 · 数学 2024-01-30 Erhan Can Ozcan , Ioannis Ch. Paschalidis

A Stackelberg game is played between a leader and a follower. The leader first chooses an action, then the follower plays his best response. The goal of the leader is to pick the action that will maximize his payoff given the follower's…

数据结构与算法 · 计算机科学 2015-11-19 Aaron Roth , Jonathan Ullman , Zhiwei Steven Wu

We study a bilevel optimization problem which is a zero-sum Stackelberg game. In this problem, there are two players, a leader and a follower, who pick items from a common set. Both the leader and the follower have their own…

数据结构与算法 · 计算机科学 2022-04-26 Lin Chen , Xiaoyu Wu , Guochuan Zhang

Recent results in the ML community have revealed that learning algorithms used to compute the optimal strategy for the leader to commit to in a Stackelberg game, are susceptible to manipulation by the follower. Such a learning algorithm…

This paper is concerned with a three-level multi-leader-follower incentive Stackelberg game with $H_\infty$ constraint. Based on $H_2/H_\infty$ control theory, we firstly obtain the worst-case disturbance and the team-optimal strategy by…

最优化与控制 · 数学 2024-12-13 Na Xiang , Jingtao Shi

Bilevel programming is one of the very active areas of research with many real-life applications in economics and engineering. Bilevel problems are hierarchical problems consisting of lower-level and upper-level problems, respectively. The…

最优化与控制 · 数学 2025-10-24 Kuntal Som , Thirumulanathan D , Joydeep Dutta

In this paper, we investigate on the modeling of demand response activities between the single aggregator and multiple participating consumers. The model incorporates the bilevel structure that naturally occurs in the information structure…

系统与控制 · 电气工程与系统科学 2025-07-18 Seangleng Khe , Parin Chaipunya , Athikom Bangviwat

We study the stochastic assignment game and extend it to model multimodal mobility markets with a regulator or a Mobility-as-a-Service (MaaS) platform. We start by presenting general forms of one-to-one and many-to-many stochastic…

计算机科学与博弈论 · 计算机科学 2025-12-23 Bingqing Liu , David Watling , Joseph Y. J. Chow

We analyze Bitcoin mining from the perspective of a game and propose an optimal mining model that maximizes profits of pools and miners. The model is a two-stage Stackelberg game in which each stage forms a sub-game. In stage I, pools are…

计算机科学与博弈论 · 计算机科学 2021-07-22 David Lajeunesse , Hugo D. Scolnik

We study a multi-player one-round game termed Stackelberg Network Pricing Game, in which a leader can set prices for a subset of $m$ priceable edges in a graph. The other edges have a fixed cost. Based on the leader's decision one or more…

数据结构与算法 · 计算机科学 2008-02-21 Patrick Briest , Martin Hoefer , Piotr Krysta

We propose a single-level numerical approach to solve Stackelberg mean field game (MFG) problems. In Stackelberg MFG, an infinite population of agents play a non-cooperative game and choose their controls to optimize their individual…

最优化与控制 · 数学 2024-04-24 Gokce Dayanikli , Mathieu Lauriere

We consider the Bilevel Knapsack with Interdiction Constraints, an extension of the classic 0-1 knapsack problem formulated as a Stackelberg game with two agents, a leader and a follower, that choose items from a common set and hold their…

计算机科学与博弈论 · 计算机科学 2018-11-13 Federico Della Croce , Rosario Scatamacchia

Resource competition problems are often modeled using Colonel Blotto games, where players take simultaneous actions. However, many real-world scenarios involve sequential decision-making rather than simultaneous moves. To model these…

计算机科学与博弈论 · 计算机科学 2025-05-13 Yan Liu , Bonan Ni , Weiran Shen , Zihe Wang , Jie Zhang

This paper presents a comprehensive review of techniques proposed in the literature for solving bilevel optimization problems encountered in various real-life applications. Bilevel optimization is an appropriate choice for hierarchical…

最优化与控制 · 数学 2025-11-06 Dhaval Pujara , Ankur Sinha
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