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We consider the problem of efficiently learning to play single-leader multi-follower Stackelberg games when the leader lacks knowledge of the lower-level game. Such games arise in hierarchical decision-making problems involving…

系统与控制 · 电气工程与系统科学 2025-12-11 Anna Maddux , Marko Maljkovic , Nikolas Geroliminis , Maryam Kamgarpour

In this note, we consider repeated play of a finite game using learning rules whose period-by-period behavior probabilities or empirical distributions converge to some notion of equilibria of the stage game. Our primary focus is on…

计算机科学与博弈论 · 计算机科学 2013-10-22 M. Sadegh Talebi

The literature on game-theoretic equilibrium finding predominantly focuses on single games or their repeated play. Nevertheless, numerous real-world scenarios feature playing a game sampled from a distribution of similar, but not identical…

计算机科学与博弈论 · 计算机科学 2024-02-21 David Sychrovský , Michal Šustr , Elnaz Davoodi , Michael Bowling , Marc Lanctot , Martin Schmid

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

We study a two-player Stackelberg game with incomplete information such that the follower's strategy belongs to a known family of parameterized functions with an unknown parameter vector. We design an adaptive learning approach to…

计算机科学与博弈论 · 计算机科学 2021-01-12 Guosong Yang , Radha Poovendran , João P. Hespanha

We consider a seller faced with buyers which have the ability to delay their decision, which we call patience. Each buyer's type is composed of value and patience, and it is sampled i.i.d. from a distribution. The seller, using posted…

计算机科学与博弈论 · 计算机科学 2022-06-28 Eitan-Hai Mashiah , Idan Attias , Yishay Mansour

We consider a repeated sequential game between a learner, who plays first, and an opponent who responds to the chosen action. We seek to design strategies for the learner to successfully interact with the opponent. While most previous…

机器学习 · 计算机科学 2020-07-13 Pier Giuseppe Sessa , Ilija Bogunovic , Maryam Kamgarpour , Andreas Krause

We study online reinforcement learning in average-reward stochastic games (SGs). An SG models a two-player zero-sum game in a Markov environment, where state transitions and one-step payoffs are determined simultaneously by a learner and an…

机器学习 · 计算机科学 2017-12-05 Chen-Yu Wei , Yi-Te Hong , Chi-Jen Lu

The problem of matching markets has been studied for a long time in the literature due to its wide range of applications. Finding a stable matching is a common equilibrium objective in this problem. Since market participants are usually…

机器学习 · 计算机科学 2023-07-21 Fang Kong , Shuai Li

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

Batch reinforcement learning (RL) defines the task of learning from a fixed batch of data lacking exhaustive exploration. Worst-case optimality algorithms, which calibrate a value-function model class from logged experience and perform some…

机器学习 · 统计学 2023-10-03 Wenzhuo Zhou , Annie Qu

We study a two-sided market, wherein, price-sensitive heterogeneous customers and servers arrive and join their respective queues. A compatible customer-server pair can then be matched by the platform, at which point, they leave the system.…

机器学习 · 计算机科学 2025-10-17 Zixian Yang , Sushil Mahavir Varma , Lei Ying

How should a player who repeatedly plays a game against a no-regret learner strategize to maximize his utility? We study this question and show that under some mild assumptions, the player can always guarantee himself a utility of at least…

计算机科学与博弈论 · 计算机科学 2025-11-12 Yuan Deng , Jon Schneider , Balusubramanian Sivan

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

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 the problem of online learning in Stackelberg games with side information between a leader and a sequence of followers. In every round the leader observes contextual information and commits to a mixed strategy, after which the…

We study online learning in Bayesian Stackelberg games, where a leader repeatedly interacts with a follower whose unknown private type is independently drawn at each round from an unknown probability distribution. The goal is to design…

计算机科学与博弈论 · 计算机科学 2026-02-03 Matteo Bollini , Francesco Bacchiocchi , Samuel Coutts , Matteo Castiglioni , Alberto Marchesi

We investigate brokerage between traders from an online learning perspective. At any round $t$, two traders arrive with their private valuations, and the broker proposes a trading price. Unlike other bilateral trade problems already studied…

机器学习 · 计算机科学 2023-10-19 Nataša Bolić , Tommaso Cesari , Roberto Colomboni

Dynamic pricing of goods in a competitive environment to maximize revenue is a natural objective and has been a subject of research over the years. In this paper, we focus on a class of markets exhibiting the substitutes property with…

机器学习 · 计算机科学 2017-09-18 Paresh Nakhe

Learning in games refers to scenarios where multiple players interact in a shared environment, each aiming to minimize their regret. An equilibrium can be computed at a fast rate of $O(1/T)$ when all players follow the optimistic…

计算机科学与博弈论 · 计算机科学 2025-02-18 Taira Tsuchiya , Shinji Ito , Haipeng Luo