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Resource allocation games such as the famous Colonel Blotto (CB) and Hide-and-Seek (HS) games are often used to model a large variety of practical problems, but only in their one-shot versions. Indeed, due to their extremely large strategy…

计算机科学与博弈论 · 计算机科学 2019-11-25 Dong Quan Vu , Patrick Loiseau , Alonso Silva , Long Tran-Thanh

The Colonel Blotto game is a renowned resource allocation problem with a long-standing literature in game theory (almost 100 years). However, its scope of application is still restricted by the lack of studies on the incomplete-information…

计算机科学与博弈论 · 计算机科学 2019-09-12 Dong Quan Vu , Patrick Loiseau , Alonso Silva

In this paper, we study the strategic allocation of limited resources using a Colonel Blotto game (CBG) under a dynamic setting and analyze the problem using an online learning approach. In this model, one of the players is a learner who…

机器学习 · 计算机科学 2023-09-13 Vincent Leon , S. Rasoul Etesami

We introduce an online learning algorithm for computing adaptive resource allocation policies against strategic ecological adversaries with unknown behavioral models and partial observability. Our setting addresses a fundamental limitation…

计算工程、金融与科学 · 计算机科学 2026-03-13 Anjali Purathekandy , Deepak N. Subramani

Partial monitoring games are repeated games where the learner receives feedback that might be different from adversary's move or even the reward gained by the learner. Recently, a general model of combinatorial partial monitoring (CPM)…

计算机科学与博弈论 · 计算机科学 2016-08-24 Sougata Chaudhuri , Ambuj Tewari

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…

The Colonel Blotto game, introduced by Borel in the 1920s, is often used for modeling various real-life settings, such as elections, lobbying, etc. The game is based on the allocation of limited resources by players to a set of fields. Each…

理论经济学 · 经济学 2024-07-25 Sidarth Erat

Many high-stakes decision-making problems, such as those found within cybersecurity and economics, can be modeled as competitive resource allocation games. In these games, multiple players must allocate limited resources to overcome their…

计算机科学与博弈论 · 计算机科学 2024-01-10 N'yoma Diamond , Fabricio Murai

We consider the stochastic multi-armed bandit (MAB) problem in a setting where a player can pay to pre-observe arm rewards before playing an arm in each round. Apart from the usual trade-off between exploring new arms to find the best one…

机器学习 · 计算机科学 2019-11-22 Jinhang Zuo , Xiaoxi Zhang , Carlee Joe-Wong

In the Colonel Blotto game, which was initially introduced by Borel in 1921, two colonels simultaneously distribute their troops across different battlefields. The winner of each battlefield is determined independently by a winner-take-all…

计算机科学与博弈论 · 计算机科学 2016-12-28 Soheil Behnezhad , Sina Dehghani , Mahsa Derakhshan , MohammadTaghi HajiAghayi , Saeed Seddighin

We consider the problem of reward maximization in the dueling bandit setup along with constraints on resource consumption. As in the classic dueling bandits, at each round the learner has to choose a pair of items from a set of $K$ items…

机器学习 · 计算机科学 2023-12-29 Rohan Deb , Aadirupa Saha

We consider online learning problems under a partial observability model capturing situations where the information conveyed to the learner is between full information and bandit feedback. In the simplest variant, we assume that in addition…

机器学习 · 计算机科学 2026-04-28 Tomas Kocak , Gergely Neu , Michal Valko , Remi Munos

We address the multi-agent motion planning problem where interactions, collisions, and congestion co-exist. Conventional game-theoretic planners capture interactions among agents but often converge to conservative, congested equilibria.…

We consider adversarial multi-armed bandit problems where the learner is allowed to observe losses of a number of arms beside the arm that it actually chose. We study the case where all non-chosen arms reveal their loss with a fixed but…

机器学习 · 统计学 2026-04-29 Tomáš Kocák , Gergely Neu , Michal Valko

Partial monitoring is a generic framework of online decision-making problems with limited feedback. To make decisions from such limited feedback, it is necessary to find an appropriate distribution for exploration. Recently, a powerful…

机器学习 · 计算机科学 2025-02-18 Taira Tsuchiya , Shinji Ito , Junya Honda

The Colonel Blotto game, first introduced by Borel in 1921, is a well-studied game theory classic. Two colonels each have a pool of troops that they divide simultaneously among a set of battlefields. The winner of each battlefield is the…

计算机科学与博弈论 · 计算机科学 2019-01-15 Soheil Behnezhad , Avrim Blum , Mahsa Derakhshan , MohammadTaghi Hajiaghayi , Christos H. Papadimitriou , Saeed Seddighin

Offline learning of strategies takes data efficiency to its extreme by restricting algorithms to a fixed dataset of state-action trajectories. We consider the problem in a mixed-motive multiagent setting, where the goal is to solve a game…

人工智能 · 计算机科学 2026-03-03 Austin A. Nguyen , Michael P. Wellman

The problem of opportunistic spectrum access in cognitive radio networks has been recently formulated as a non-Bayesian restless multi-armed bandit problem. In this problem, there are N arms (corresponding to channels) and one player…

机器学习 · 计算机科学 2011-11-10 Wenhan Dai , Yi Gai , Bhaskar Krishnamachari

In the combinatorial semi-bandit (CSB) problem, a player selects an action from a combinatorial action set and observes feedback from the base arms included in the action. While CSB is widely applicable to combinatorial optimization…

机器学习 · 计算机科学 2025-09-15 Shintaro Nakamura , Yuko Kuroki , Wei Chen

We address the problem of learning in an online, bandit setting where the learner must repeatedly select among $K$ actions, but only receives partial feedback based on its choices. We establish two new facts: First, using a new algorithm…

机器学习 · 计算机科学 2011-10-28 Alina Beygelzimer , John Langford , Lihong Li , Lev Reyzin , Robert E. Schapire
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