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There has been significant recent interest in leader-follower security games, where the leader dominates the decision process with the Stackelberg equilibrium (SE) strategy. However, such a leader-follower scheme may become invalid in…

计算机科学与博弈论 · 计算机科学 2022-10-31 Gehui Xu , Guanpu Chen , Zhaoyang Cheng , Yiguang Hong , Hongsheng Qi

We consider discrete time partially observable zero-sum stochastic game with average payoff criterion. We study the game using an equivalent completely observable game. We show that the game has a value and also we come up with a pair of…

最优化与控制 · 数学 2014-09-16 Subhamay Saha

Stackelberg Security Games are often used to model strategic interactions in high-stakes security settings. The majority of existing models focus on single-defender settings where a single entity assumes command of all security assets.…

计算机科学与博弈论 · 计算机科学 2023-11-29 Zimeng Song , Chun Kai Ling , Fei Fang

This paper addresses a Stackelberg stochastic linear-quadratic (LQ) differential game under closed-loop information, a problem inherently time-inconsistent. Existing approaches rely on solving two coupled Hamilton-Jacobi-Bellman (HJB)…

最优化与控制 · 数学 2026-04-27 Qi Lü , Bowen Ma , Hanxiao Wang

Algorithms for playing in Stackelberg games have been deployed in real-world domains including airport security, anti-poaching efforts, and cyber-crime prevention. However, these algorithms often fail to take into consideration the…

计算机科学与博弈论 · 计算机科学 2024-10-15 Keegan Harris , Zhiwei Steven Wu , Maria-Florina Balcan

This paper studies a nonlinear open-loop mean field Stackelberg stochastic differential game by using the probabilistic method through the FBSDE system and the idea of taking control as the fixed point. We successively construct the…

最优化与控制 · 数学 2026-01-08 Jianhui Huang , Qi Huang

The increasing saturation of terrestrial resources has driven economic activities into low-altitude airspace. These activities, such as air taxis, rely on low-altitude wireless networks, and one key enabling technology is integrated sensing…

信号处理 · 电气工程与系统科学 2025-11-11 Jiacheng Wang , Changyuan Zhao , Dusit Niyato , Geng Sun , Weijie Yuan , Abbas Jamalipour , Tao Xiang

This paper studies multi-user communication systems with two groups of users: leaders which possess system information, and followers which have no system information using the formulation of Stackelberg games. In such games, the leaders…

信息论 · 计算机科学 2011-08-26 saeedeh parsaeefard , Mihaela van der Schaar , Ahmad R. Sharafat

Equilibrium refinements are important in extensive-form (i.e., tree-form) games, where they amend weaknesses of the Nash equilibrium concept by requiring sequential rationality and other beneficial properties. One of the most attractive…

计算机科学与博弈论 · 计算机科学 2018-11-12 Alberto Marchesi , Gabriele Farina , Christian Kroer , Nicola Gatti , Tuomas Sandholm

We study a Stackelberg variant of the classical discrete-time Dynkin game, in which Player 1 (the leader) commits to a stopping strategy first and Player 2 (the follower) responds optimally. This leader-follower structure induces an optimal…

最优化与控制 · 数学 2026-05-26 Jingjie Zhang , Zhou Zhou

This paper considers dynamic (multi-stage) signaling games involving an encoder and a decoder who have subjective models on the cost functions. We consider both Nash (simultaneous-move) and Stackelberg (leader-follower) equilibria of…

最优化与控制 · 数学 2020-03-11 Serkan Sarıtaş , Serdar Yüksel , Sinan Gezici

This paper is devoted to a high-dimensional mixed leadership stochastic differential game on a finite horizon in feedback information mode, where the control variables enter into the diffusion term of state equation. A verification theorem…

最优化与控制 · 数学 2022-11-28 Qi Huang , Jingtao Shi

Hierarchical decision making problems, such as bilevel programs and Stackelberg games, are attracting increasing interest in both the engineering and machine learning communities. Yet, existing solution methods lack either convergence…

This paper considers the problem of how to allocate power among competing users sharing a frequency-selective interference channel. We model the interaction between selfish users as a non-cooperative game. As opposed to the existing…

计算机科学与博弈论 · 计算机科学 2008-12-16 Yi Su , Mihaela van der Schaar

We propose a model for games in which the players have shared access to a blockchain that allows them to deploy smart contracts to act on their behalf. This changes fundamental game-theoretic assumptions about rationality since a contract…

计算机科学与博弈论 · 计算机科学 2023-04-05 Mathias Hall-Andersen , Nikolaj I. Schwartzbach

We study the problem of computing Stackelberg equilibria Stackelberg games whose underlying structure is in congestion games, focusing on the case where each player can choose a single resource (a.k.a. singleton congestion games) and one of…

计算机科学与博弈论 · 计算机科学 2018-08-31 Matteo Castiglioni , Alberto Marchesi , Nicola Gatti , Stefano Coniglio

We investigate a two-player zero-sum stochastic differential game in which one of the players has more information on the game than his opponent. We show how to construct numerical schemes for the value function of this game, which is given…

计算机科学与博弈论 · 计算机科学 2011-11-18 Christine Grün

This article describes a novel game structure for autonomously optimizing decentralized manufacturing systems with multi-objective optimization challenges, namely Distributed Stackelberg Strategies in State-Based Potential Games (DS2-SbPG).…

计算机科学与博弈论 · 计算机科学 2024-08-14 Steve Yuwono , Dorothea Schwung , Andreas Schwung

This paper studies a class of dynamic Stackelberg games under open-loop information structure with constrained linear agent dynamics and quadratic utility functions. We show two important properties for this class of dynamic Stackelberg…

最优化与控制 · 数学 2016-08-09 Sen Li , Wei Zhang , Jianming Lian , Karanjit Kalsi

This paper is concerned with a linear-quadratic (LQ) Stackelberg mean field games of backward-forward stochastic systems, involving a backward leader and a substantial number of forward followers. The leader initiates by providing its…

最优化与控制 · 数学 2024-06-28 Wenyu Cong , Jingtao Shi