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Decision making in modern large-scale and complex systems such as communication networks, smart electricity grids, and cyber-physical systems motivate novel game-theoretic approaches. This paper investigates big strategic (non-cooperative)…

计算机科学与博弈论 · 计算机科学 2016-09-22 Tansu Alpcan , Benjamin I. P. Rubinstein , Christopher Leckie

In this paper we consider a distributed coordination game played by a large number of agents with finite information sets, which characterizes emergence of a single dominant attribute out of a large number of competitors. Formally, $N$…

经济学 · 定量金融 2016-12-21 S. Agarwal , D. Ghosh , A. S. Chakrabarti

Effective coordination is crucial to solve multi-agent collaborative (MAC) problems. While centralized reinforcement learning methods can optimally solve small MAC instances, they do not scale to large problems and they fail to generalize…

机器学习 · 计算机科学 2019-10-22 Nicolas Carion , Gabriel Synnaeve , Alessandro Lazaric , Nicolas Usunier

The paper defines a non-cooperative simultaneous finite game to study coalition structure formation with intra and inter-coalition externalities. The novelty of the game is that the game definition embeds a \textit{coalition structure…

最优化与控制 · 数学 2016-12-08 Dmitry V. Levando

Challenge the champ tournaments are one of the simplest forms of competition, where a (initially selected) champ is repeatedly challenged by other players. If a player beats the champ, then that player is considered the new (current) champ.…

数据结构与算法 · 计算机科学 2024-03-27 Juhi Chaudhary , Hendrik Molter , Meirav Zehavi

An important aspect in systems of multiple autonomous agents is the exploitation of synergies via coalition formation. In this paper, we solve various open problems concerning the computational complexity of stable partitions in additively…

计算机科学与博弈论 · 计算机科学 2015-02-06 Haris Aziz , Felix Brandt , Hans Georg Seedig

The real world is awash with multi-agent problems that require collective action by self-interested agents, from the routing of packets across a computer network to the management of irrigation systems. Such systems have local incentives…

多智能体系统 · 计算机科学 2021-02-16 Michiel A. Bakker , Richard Everett , Laura Weidinger , Iason Gabriel , William S. Isaac , Joel Z. Leibo , Edward Hughes

We study the problem of exchange when 1) agents are endowed with heterogeneous indivisible objects, and 2) there is no money. In general, no rule satisfies the three central properties Pareto-efficiency, individual rationality, and…

计算机科学与博弈论 · 计算机科学 2018-03-08 William Phan , Christopher Purcell

Traditionally social sciences are interested in structuring people in multiple groups based on their individual preferences. This pa- per suggests an approach to this problem in the framework of a non- cooperative game theory. Definition of…

最优化与控制 · 数学 2017-05-02 Dmitry Levando

We study the computational complexity of "public goods games on networks". In this model, each vertex in a graph is an agent that needs to take a binary decision of whether to "produce a good" or not. Each agent's utility depends on the…

计算机科学与博弈论 · 计算机科学 2022-07-12 Matan Gilboa , Noam Nisan

\textit{Fair division} of resources among competing agents is a fundamental problem in computational social choice and economic game theory. It has been intensively studied on various kinds of items (\textit{divisible} and…

计算机科学与博弈论 · 计算机科学 2023-10-03 Harmender Gahlawat , Meirav Zehavi

Ordered matchings, defined as graphs with linearly ordered vertices, where each vertex is connected to exactly one edge, play a crucial role in the area of ordered graphs and their homomorphisms. Therefore, we consider related problems from…

计算复杂性 · 计算机科学 2025-12-01 Michal Čertík , Andreas Emil Feldmann , Jaroslav Nešetřil , Paweł Rzążewski

We study the parameterized complexity of several positional games. Our main result is that Short Generalized Hex is W[1]-complete parameterized by the number of moves. This solves an open problem from Downey and Fellows' influential list of…

计算复杂性 · 计算机科学 2017-04-28 Édouard Bonnet , Serge Gaspers , Antonin Lambilliotte , Stefan Rümmele , Abdallah Saffidine

The parameterized complexity of a problem is considered "settled" once it has been shown to lie in FPT or to be complete for a class in the W-hierarchy or a similar parameterized hierarchy. Several natural parameterized problems have,…

计算复杂性 · 计算机科学 2013-08-14 Christoph Stockhusen , Till Tantau

In this paper, we approach the classical problem of clustering using solution concepts from cooperative game theory such as Nucleolus and Shapley value. We formulate the problem of clustering as a characteristic form game and develop a…

计算机科学与博弈论 · 计算机科学 2012-01-04 Swapnil Dhamal , Satyanath Bhat , K. R. Anoop , Varun R Embar

Research in cooperative games often assumes that agents know the coalitional values with certainty, and that they can belong to one coalition only. By contrast, this work assumes that the value of a coalition is based on an underlying…

计算机科学与博弈论 · 计算机科学 2018-04-17 Michalis Mamakos , Georgios Chalkiadakis

In graph modification problems, one is given a graph G and the goal is to apply a minimum number of modification operations (such as edge deletions) to G such that the resulting graph fulfills a certain property. For example, the Cluster…

数据结构与算法 · 计算机科学 2016-06-13 Christian Komusiewicz , André Nichterlein , Rolf Niedermeier

Large scale systems are forecasted to greatly impact our future lives thanks to their wide ranging applications including cooperative robotics, mobility on demand, resource allocation, supply chain management. While technological…

最优化与控制 · 数学 2024-12-20 Dario Paccagnan

Cooperative games provide a framework to study cooperation among self-interested agents. They offer a number of solution concepts describing how the outcome of the cooperation should be shared among the players. Unfortunately, computational…

计算机科学与博弈论 · 计算机科学 2017-11-28 Ayumi Igarashi , Rani Izsak , Edith Elkind

This paper studies an $N$--agent cost-coupled game where the agents are connected via an unreliable capacity constrained network. Each agent receives state information over that network which loses packets with probability $p$. A Base…

系统与控制 · 电气工程与系统科学 2023-03-17 Shubham Aggarwal , Muhammad Aneeq uz Zaman , Melih Bastopcu , Tamer Başar