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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 investigate a discrete search game called the Multiple Caching Game where the searcher's aim is to find all of a set of $d$ treasures hidden in $n$ locations. Allowed queries are sets of locations of size $k$, and the searcher wins if in…

最优化与控制 · 数学 2025-09-03 Áron Jánosik , Csenge Miklós , Dániel G. Simon , Kristóf Zólomy

We study the computation of approximate pure Nash equilibria in Shapley value (SV) weighted congestion games, introduced in [19]. This class of games considers weighted congestion games in which Shapley values are used as an alternative (to…

计算机科学与博弈论 · 计算机科学 2017-11-28 Matthias Feldotto , Martin Gairing , Grammateia Kotsialou , Alexander Skopalik

Imitating successful behavior is a natural and frequently applied approach to trust in when facing scenarios for which we have little or no experience upon which we can base our decision. In this paper, we consider such behavior in atomic…

计算机科学与博弈论 · 计算机科学 2008-10-04 Heiner Ackermann , Petra Berenbrink , Simon Fischer , Martin Hoefer

The matching game is a cooperative game where the value of every coalition is the maximum revenue of players in the coalition can make by forming pairwise disjoint partners. The multiple partners matching game generalizes the matching game…

计算机科学与博弈论 · 计算机科学 2021-10-26 Han Xiao , Tianhang Lu , Qizhi Fang

In this work we completely characterize how the frequency with which each player participates in the game dynamics affects the possibility of reaching efficient states, i.e., states with an approximation ratio within a constant factor from…

计算机科学与博弈论 · 计算机科学 2011-05-02 Angelo Fanelli , Luca Moscardelli , Alexander Skopalik

Concurrent stochastic games (CSGs) are an ideal formalism for modelling probabilistic systems that feature multiple players or components with distinct objectives making concurrent, rational decisions. Examples include communication or…

计算机科学中的逻辑 · 计算机科学 2020-07-27 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos

Although parallelism has been extensively used in reinforcement learning (RL), the quantitative effects of parallel exploration are not well understood theoretically. We study the benefits of simple parallel exploration for reward-free RL…

机器学习 · 计算机科学 2023-03-03 Pedro Cisneros-Velarde , Boxiang Lyu , Sanmi Koyejo , Mladen Kolar

This paper gives a complete analysis of worst-case equilibria for various versions of weighted congestion games with two players and affine cost functions. The results are exact price of anarchy bounds which are parametric in the weights of…

计算机科学与博弈论 · 计算机科学 2022-03-04 Joran van den Bosse , Marc Uetz , Matthias Walter

This paper aims to reduce the communication and computation costs of the Nash equilibrium seeking strategy for the $N$-coalition noncooperative games proposed in [1]. The objective is achieved in two manners: 1. An interference graph is…

最优化与控制 · 数学 2019-06-05 Maojiao Ye , Guoqiang Hu , Frank L. Lewis , Lihua Xie

Competitions for shareable and limited resources have long been studied with strategic agents. In reality, agents often have to learn and maximize the rewards of the resources at the same time. To design an individualized competing policy,…

机器学习 · 计算机科学 2023-08-07 Renzhe Xu , Haotian Wang , Xingxuan Zhang , Bo Li , Peng Cui

This paper considers an online multi-player resource-sharing game with bandit feedback. Multiple players choose from a finite collection of resources in a time slotted system. In each time slot, each resource brings a random reward that is…

计算机科学与博弈论 · 计算机科学 2025-02-18 Mevan Wijewardena , Michael. J Neely

We consider the interaction among agents engaging in a driving task and we model it as general-sum game. This class of games exhibits a plurality of different equilibria posing the issue of equilibrium selection. While selecting the most…

We study the subclass of singleton congestion games with identical and increasing cost functions, i.e., each agent tries to utilize from the least crowded resource in her accessible subset of resources. Our main contribution is a novel…

计算机科学与博弈论 · 计算机科学 2020-11-04 Bugra Caskurlu , Ozgun Ekici , Fatih Erdem Kizilkaya

How can we design mechanisms to promote efficient use of shared resources? Here, we answer this question in relation to the well-studied class of atomic congestion games, used to model a variety of problems, including traffic routing.…

计算机科学与博弈论 · 计算机科学 2021-03-12 Dario Paccagnan , Rahul Chandan , Bryce L Ferguson , Jason R Marden

We study $n$-dimensional contests between two players with heterogeneous effort costs, where each dimension (battle) is modeled as a Tullock contest. Prize-allocation rules are identity-independent, budget-balanced, and weakly increasing in…

理论经济学 · 经济学 2026-03-31 Siyuan Fan , Zhonghong Kuang , Jingfeng Lu

We study techniques to incentivize self-interested agents to form socially desirable solutions in scenarios where they benefit from mutual coordination. Towards this end, we consider coordination games where agents have different intrinsic…

计算机科学与博弈论 · 计算机科学 2014-04-21 Elliot Anshelevich , Shreyas Sekar

We study a simple model of algorithmic collusion in which Q-learning algorithms are designed in a strategic fashion. We let players (\textit{designers}) choose their exploration policy simultaneously prior to letting their algorithms…

理论经济学 · 经济学 2024-09-13 Ivan Conjeaud

We investigate the price of anarchy (PoA) in non-atomic congestion games when the total demand $T$ gets very large. First results in this direction have recently been obtained by \cite{Colini2016On, Colini2017WINE, Colini2017arxiv} for…

计算机科学与博弈论 · 计算机科学 2021-07-20 Wu Zijun , Moehring Rolf H. , Chen Yanyan , Xu Dachuan

Markov decision process (MDP) congestion game is an extension of classic congestion games, where a continuous population of selfish agents solves Markov decision processes with congestion: the payoff of a strategy decreases as more…

计算机科学与博弈论 · 计算机科学 2021-12-14 Sarah H. Q. Li , Yue Yu , Daniel Calderone , Lillian Ratliff , Behcet Acikmese