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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

In this paper, we consider a discrete-time Stackelberg mean field game with a leader and an infinite number of followers. The leader and the followers each observe types privately that evolve as conditionally independent controlled Markov…

系统与控制 · 电气工程与系统科学 2022-09-21 Deepanshu Vasal , Randall Berry

We consider the problem of dynamic information design with one sender and one receiver where the sender observers a private state of the system and takes an action to send a signal based on its observation to a receiver. Based on this…

理论经济学 · 经济学 2020-05-18 Deepanshu Vasal

This paper considers the remote state estimation in a cyber-physical system (CPS) using multiple sensors. The measurements of each sensor are transmitted to a remote estimator over a shared channel, where simultaneous transmissions from…

统计方法学 · 统计学 2017-03-28 Kemi Ding , Yuzhe Li , Subhrakanti Dey , Ling Shi

The $1-N$ generalized Stackelberg game (single-leader multi-follower game) is intricately intertwined with the interaction between a leader and followers (hierarchical interaction) and the interaction among followers (simultaneous…

计算机科学与博弈论 · 计算机科学 2023-06-12 Jaeyeon Jo , Jihwan Yu , Jinkyoo Park

To protect the systems exposed to the Internet against attacks, a security system with the capability to engage with the attacker is needed. There have been attempts to model the engagement/interactions between users, both benign and…

密码学与安全 · 计算机科学 2018-01-19 Vivek Shandilya , Sajjan Shiva

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 study presents a numerical analysis framework for pursuit--evasion differential games under the Stackelberg equilibrium. The Semi-DCNLP method is introduced as an optimization solver for flight path optimization problems formulated…

最优化与控制 · 数学 2026-04-21 Kazuhiro Horie

Risk measures are commonly used to capture the risk preferences of decision-makers (DMs). The decisions of DMs can be nudged or manipulated when their risk preferences are influenced by factors such as the availability of information about…

最优化与控制 · 数学 2023-11-29 Shutian Liu , Quanyan Zhu

This paper investigates the convergence of learning dynamics in Stackelberg games. In the class of games we consider, there is a hierarchical game being played between a leader and a follower with continuous action spaces. We establish a…

计算机科学与博弈论 · 计算机科学 2024-12-07 Tanner Fiez , Benjamin Chasnov , Lillian J. Ratliff

Effective enforcement of laws and policies requires expending resources to prevent and detect offenders, as well as appropriate punishment schemes to deter violators. In particular, enforcement of privacy laws and policies in modern…

计算机科学与博弈论 · 计算机科学 2013-03-06 Jeremiah Blocki , Nicolas Christin , Anupam Datta , Ariel D. Procaccia , Arunesh Sinha

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

We consider a distributed stochastic approximation (SA) scheme for computing an equilibrium of a stochastic Nash game. Standard SA schemes employ diminishing steplength sequences that are square summable but not summable. Such requirements…

最优化与控制 · 数学 2013-03-20 Farzad Yousefian , Angelia Nedich , Uday V. Shanbhag

The hierarchical interaction between the actor and critic in actor-critic based reinforcement learning algorithms naturally lends itself to a game-theoretic interpretation. We adopt this viewpoint and model the actor and critic interaction…

机器学习 · 计算机科学 2021-09-28 Liyuan Zheng , Tanner Fiez , Zane Alumbaugh , Benjamin Chasnov , Lillian J. Ratliff

Recent years have witnessed a significant increase in cyber crimes and system failures caused by misinformation. Many of these instances can be classified as gaslighting, which involves manipulating the perceptions of others through the use…

最优化与控制 · 数学 2023-04-04 Shutian Liu , Quanyan Zhu

We introduce a model of estimation in the presence of strategic, self-interested sensors. We employ a game-theoretic setup to model the interaction between the sensors and the receiver. The cost function of the receiver is equal to the…

计算机科学与博弈论 · 计算机科学 2015-06-26 Farhad Farokhi , Andre M. H. Teixeira , Cedric Langbort

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

This paper studies a stochastic robotic surveillance problem where a mobile robot moves randomly on a graph to capture a potential intruder that strategically attacks a location on the graph. The intruder is assumed to be omniscient: it…

最优化与控制 · 数学 2020-11-17 Xiaoming Duan , Dario Paccagnan , Francesco Bullo

There has been significant recent interest in game-theoretic approaches to security, with much of the recent research focused on utilizing the leader-follower Stackelberg game model. Among the major applications are the ARMOR program…

计算机科学与博弈论 · 计算机科学 2014-01-17 Dmytro Korzhyk , Zhengyu Yin , Christopher Kiekintveld , Vincent Conitzer , Milind Tambe

Stackelberg Security Games (SSGs) have been adopted widely for modeling adversarial interactions. With increasing size of the applications of SSGs, scalability of equilibrium computation is an important research problem. While prior…

计算机科学与博弈论 · 计算机科学 2017-11-15 Arunesh Sinha , Aaron Schlenker , Donnabell Dmello , Milind Tambe