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In this paper, the known deterministic linear-quadratic Stackelberg game is revisited, whose open-loop Stackelberg solution actually possesses the nature of time inconsistency. To handle this time inconsistency, {a two-tier game framework…

最优化与控制 · 数学 2022-03-09 Yuan-Hua Ni , Liping Liu , Xinzhen Zhang

Motivated by the question of how a principal can maximize its utility in repeated interactions with a learning agent, we study repeated games between an principal and an agent employing a mean-based learning algorithm. Prior work has shown…

计算机科学与博弈论 · 计算机科学 2025-10-28 Nivasini Ananthakrishnan , Yuval Dagan , Kunhe Yang

The behavior of no-regret learning algorithms is well understood in two-player min-max (i.e, zero-sum) games. In this paper, we investigate the behavior of no-regret learning in min-max games with dependent strategy sets, where the strategy…

计算机科学与博弈论 · 计算机科学 2022-04-15 Denizalp Goktas , Jiayi Zhao , Amy Greenwald

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

Inverse game theory is utilized to infer the cost functions of all players based on game outcomes. However, existing inverse game theory methods do not consider the learner as an active participant in the game, which could significantly…

计算机科学与博弈论 · 计算机科学 2025-10-20 Jianguo Chen , Jinlong Lei , Biqiang Mu , Yiguang Hong , Hongsheng Qi

In a multi-follower Bayesian Stackelberg game, a leader plays a mixed strategy over $L$ actions to which $n\ge 1$ followers, each having one of $K$ possible private types, best respond. The leader's optimal strategy depends on the…

计算机科学与博弈论 · 计算机科学 2026-03-03 Gerson Personnat , Tao Lin , Safwan Hossain , David C. Parkes

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

We study Stackelberg (leader--follower) tuning of network parameters (tolls, capacities, incentives) in combinatorial congestion games, where selfish users choose discrete routes (or other combinatorial strategies) and settle at a…

计算机科学与博弈论 · 计算机科学 2026-02-27 Saeed Masiha , Sepehr Elahi , Negar Kiyavash , Patrick Thiran

The paper presents a new method for approximating Strong Stackelberg Equilibrium in general-sum sequential games with imperfect information and perfect recall. The proposed approach is generic as it does not rely on any specific properties…

计算机科学与博弈论 · 计算机科学 2022-08-16 Jan Karwowski , Jacek Mańdziuk

This paper aims to solve the optimal strategy against a well-known adaptive algorithm, the Hedge algorithm, in a finitely repeated $2\times 2$ zero-sum game. In the literature, related theoretical results are very rare. To this end, we make…

最优化与控制 · 数学 2023-12-18 Xinxiang Guo , Yifen Mu

This work studies Stackelberg network interdiction games -- an important class of games in which a defender first allocates (randomized) defense resources to a set of critical nodes on a graph while an adversary chooses its path to attack…

最优化与控制 · 数学 2023-01-31 Tien Mai , Avinandan Bose , Arunesh Sinha , Thanh H. Nguyen

In this paper, we introduce the third party to achieve the Stackelberg equilibrium with the time inconsistency in three different Stackelberg games, which are the discrete-time games, the dynamic games, and the mean field games. Here all…

最优化与控制 · 数学 2024-07-29 Yiming Jiang , Yawei Wei , Jie Xue

Stackelberg games (SGs) constitute the most fundamental and acclaimed models of strategic interactions involving some form of commitment. Moreover, they form the basis of more elaborate models of this kind, such as, e.g., Bayesian…

计算机科学与博弈论 · 计算机科学 2024-05-14 Francesco Bacchiocchi , Matteo Bollini , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

Routing games are used to to understand the impact of individual users' decisions on network efficiency. Most prior work on routing games uses a simplified model of network flow where all flow exists simultaneously, and users care about…

计算机科学与博弈论 · 计算机科学 2015-03-17 Umang Bhaskar , Lisa Fleischer , Elliot Anshelevich

This paper is concerned with a two-person zero-sum indefinite stochastic linear-quadratic Stackelberg differential game with asymmetric informational uncertainties, where both the leader and follower face different and unknown disturbances.…

最优化与控制 · 数学 2024-07-09 Na Xiang , Jingtao Shi

Many real-world strategic games involve interactions between multiple players. We study a hierarchical multi-player game structure, where players with asymmetric roles can be separated into leaders and followers, a setting often referred to…

机器学习 · 计算机科学 2022-10-25 Yaolong Yu , Haifeng Xu , Haipeng Chen

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

We study the problem of online learning in a two-player decentralized cooperative Stackelberg game. In each round, the leader first takes an action, followed by the follower who takes their action after observing the leader's move. The goal…

机器学习 · 计算机科学 2023-04-13 Geng Zhao , Banghua Zhu , Jiantao Jiao , Michael I. Jordan

We study Stackelberg games where a principal repeatedly interacts with a non-myopic long-lived agent, without knowing the agent's payoff function. Although learning in Stackelberg games is well-understood when the agent is myopic, dealing…

计算机科学与博弈论 · 计算机科学 2025-05-29 Nika Haghtalab , Thodoris Lykouris , Sloan Nietert , Alexander Wei

When interacting with other decision-making agents in non-adversarial scenarios, it is critical for an autonomous agent to have inferable behavior: The agent's actions must convey their intention and strategy. We model the inferability…

计算机科学与博弈论 · 计算机科学 2025-06-03 Mustafa O. Karabag , Sophia Smith , Negar Mehr , David Fridovich-Keil , Ufuk Topcu