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Current research applying N-level Stackelberg Game to multi-agent systems often uses the default decision order of agents provided by the environment. However, this raises the question: does the order of agents necessarily affect the final…

多智能体系统 · 计算机科学 2026-05-11 Xiangyu Liu , Liang Zhang , Bo Jin , Ziqi Wei

Stackelberg equilibrium is a solution concept that describes optimal strategies to commit: Player 1 (the leader) first commits to a strategy that is publicly announced, then Player 2 (the follower) plays a best response to the leader's…

计算机科学与博弈论 · 计算机科学 2021-11-04 Aditya Aradhye , Branislav Bošanský , Michael Hlaváček

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

As predictive models are deployed into the real world, they must increasingly contend with strategic behavior. A growing body of work on strategic classification treats this problem as a Stackelberg game: the decision-maker "leads" in the…

机器学习 · 计算机科学 2022-02-01 Tijana Zrnic , Eric Mazumdar , S. Shankar Sastry , Michael I. Jordan

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

The Stackelberg equilibrium solution concept describes optimal strategies to commit to: Player 1 (termed the leader) publicly commits to a strategy and Player 2 (termed the follower) plays a best response to this strategy (ties are broken…

计算机科学与博弈论 · 计算机科学 2016-08-24 Branislav Bosansky , Simina Branzei , Kristoffer Arnsfelt Hansen , Peter Bro Miltersen , Troels Bjerre Sorensen

We study a Stackelberg game to examine how two agents determine to cooperate while competing with each other. Each selects an arrival time to a destination, the earlier one fetching a higher reward. There is, however, an inherent penalty in…

计算机科学与博弈论 · 计算机科学 2024-07-30 Chenlan Wang , Mehrdad Moharrami , Mingyan Liu

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

The Stackelberg game depicts a leader-follower relationship wherein decisions are made sequentially, and the Stackelberg equilibrium represents an expected optimal solution when the leader can anticipate the rational response of the…

系统与控制 · 电气工程与系统科学 2024-01-17 Yue Chen , Peng Yi

In this study, we explore the application of game theory, in particular Stackelberg games, to address the issue of effective coordination strategy generation for heterogeneous robots with one-way communication. To that end, focusing on the…

机器人学 · 计算机科学 2023-08-01 Yuhan Zhao , Baichuan Huang , Jingjin Yu , Quanyan Zhu

Optimizing strategic decisions (a.k.a. computing equilibrium) is key to the success of many non-cooperative multi-agent applications. However, in many real-world situations, we may face the exact opposite of this game-theoretic problem --…

计算机科学与博弈论 · 计算机科学 2022-10-05 Jibang Wu , Weiran Shen , Fei Fang , Haifeng Xu

We study Stackelberg equilibria in finitely repeated games, where the leader commits to a strategy that picks actions in each round and can be adaptive to the history of play (i.e. they commit to an algorithm). In particular, we study…

计算机科学与博弈论 · 计算机科学 2024-03-08 Natalie Collina , Eshwar Ram Arunachaleswaran , Michael Kearns

Autocurricular training is an important sub-area of multi-agent reinforcement learning~(MARL) that allows multiple agents to learn emergent skills in an unsupervised co-evolving scheme. The robotics community has experimented autocurricular…

人工智能 · 计算机科学 2023-05-09 Boling Yang , Liyuan Zheng , Lillian J. Ratliff , Byron Boots , Joshua R. Smith

We study the problem of finding Stackelberg equilibria in games with a massive number of players. So far, the only known game instances in which the problem is solved in polynomial time are some particular congestion games. However, a…

计算机科学与博弈论 · 计算机科学 2019-05-31 Alberto Marchesi , Matteo Castiglioni , Nicola Gatti

Computational advertising has been studied to design efficient marketing strategies that maximize the number of acquired customers. In an increased competitive market, however, a market leader (a leader) requires the acquisition of new…

计算机科学与博弈论 · 计算机科学 2019-06-18 Daisuke Hatano , Yuko Kuroki , Yasushi Kawase , Hanna Sumita , Naonori Kakimura , Ken-ichi Kawarabayashi

This article introduces a class of $Nash$ games among $Stackelberg$ players ($NASPs$), namely, a class of simultaneous non-cooperative games where the players solve sequential Stackelberg games. Specifically, each player solves a…

计算机科学与博弈论 · 计算机科学 2025-03-04 Margarida Carvalho , Gabriele Dragotto , Felipe Feijoo , Andrea Lodi , Sriram Sankaranarayanan

We provide a general approach to reformulating any continuous-time stochastic Stackelberg differential game under closed-loop strategies as a single-level optimisation problem with target constraints. More precisely, we consider a…

最优化与控制 · 数学 2026-05-14 Camilo Hernández , Nicolás Hernández Santibáñez , Emma Hubert , Dylan Possamaï

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

As assembly tasks grow in complexity, collaboration among multiple robots becomes essential for task completion. However, centralized task planning has become inadequate for adapting to the increasing intelligence and versatility of robots,…

机器人学 · 计算机科学 2024-04-22 Yuhan Zhao , Lan Shi , Quanyan Zhu

The Stackelberg game model, where a leader commits to a strategy and the follower best responds, has found widespread application, particularly to security problems. In the security setting, the goal is for the leader to compute an optimal…

计算机科学与博弈论 · 计算机科学 2022-09-19 Sai Mali Ananthanarayanan , Christian Kroer
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