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We introduce and motivate the study of hypergraphical clustering games of mis-coordination. For two specific variants we prove the existence of a pure Nash equilibrium and provide bounds on the price of anarchy as a function of the…

组合数学 · 数学 2017-12-05 Rann Smorodinsky , Shakhar Smorodinsky

Pool block withholding attack is performed among mining pools in digital cryptocurrencies, such as Bitcoin. Instead of mining honestly, pools can be incentivized to infiltrate their own miners into other pools. These infiltrators report…

计算机科学与博弈论 · 计算机科学 2021-01-29 Qian Wang , Yurong Chen

We consider two classes of constrained finite state-action stochastic games. First, we consider a two player nonzero sum single controller constrained stochastic game with both average and discounted cost criterion. We consider the same…

最优化与控制 · 数学 2012-06-11 Vikas Vikram Singh , N. Hemachandra

This paper studies the performance of Mobile Ad hoc Networks (MANETs) when the nodes, that form a Poisson point process, selfishly choose their Medium Access Probability (MAP). We consider goodput and delay as the performance metric that…

计算机科学与博弈论 · 计算机科学 2012-01-06 Manjesh Kumar Hanawal , Eitan Altman , Francois Baccelli

Network creation games investigate complex networks from a game-theoretic point of view. Based on the original model by Fabrikant et al. [PODC'03] many variants have been introduced. However, almost all versions have the drawback that edges…

计算机科学与博弈论 · 计算机科学 2017-07-03 Ankit Chauhan , Pascal Lenzner , Anna Melnichenko , Louise Molitor

We initiate the study of congestion games with variable demands where the (variable) demand has to be assigned to exactly one subset of resources. The players' incentives to use higher demands are stimulated by non-decreasing and concave…

计算机科学与博弈论 · 计算机科学 2010-12-14 Tobias Harks , Max Klimm

This paper shows the existence of $\mathcal{O}(\frac{1}{n^\gamma})$-Nash equilibria in $n$-player noncooperative sum-aggregative games in which the players' cost functions, depending only on their own action and the average of all players'…

最优化与控制 · 数学 2022-09-27 Kang Liu , Nadia Oudjane , Cheng Wan

In a society of completely selfish individuals where everybody is only interested in maximizing his own payoff, does any equilibrium exist for the society? John Nash proved more than 50 years ago that an equilibrium always exists such that…

计算机科学与博弈论 · 计算机科学 2009-03-31 Xiaofei Huang

Computing an equilibrium in congestion games can be challenging when the number of players is large. Yet, it is a problem to be addressed in practice, for instance to forecast the state of the system and be able to control it. In this work,…

计算机科学与博弈论 · 计算机科学 2018-10-04 Cheng Wan , Paulin Jacquot , Olivier Beaude , Nadia Oudjane

We introduce a novel class of Nash equilibrium seeking dynamics for non-cooperative games with a finite number of players, where the convergence to the Nash equilibrium is bounded by a KL function with a settling time that can be upper…

最优化与控制 · 数学 2020-12-25 Jorge I. Poveda , Miroslav Krstic , Tamer Basar

We study the issues of existence and inefficiency of pure Nash equilibria in linear congestion games with altruistic social context, in the spirit of the model recently proposed by de Keijzer {\em et al.} \cite{DSAB13}. In such a framework,…

计算机科学与博弈论 · 计算机科学 2013-08-16 Vittorio Bilò

Studying the impact of cooperation in strategic settings is one of the cornerstones of algorithmic game theory. Intuitively, allowing more cooperation yields equilibria that are more beneficial for the society of agents. However, for many…

计算机科学与博弈论 · 计算机科学 2025-10-02 Hans Gawendowicz , Pascal Lenzner , Lukas Weyand

We analyze ways by which people decompose into groups in distributed systems. We are interested in systems in which an agent can increase its utility by connecting to other agents, but must also pay a cost that increases with the size of…

计算机科学与博弈论 · 计算机科学 2013-05-21 Shay Kutten , Ron Lavi , Amitabh Trehan

Congestion games constitute an important class of games to model resource allocation by different users. As computing an exact or even an approximate pure Nash equilibrium is in general PLS-complete, Caragiannis et al. (2011) present a…

计算机科学与博弈论 · 计算机科学 2020-08-03 Alexander Skopalik , Vipin Ravindran Vijayalakshmi

In this paper we extend a popular non-cooperative network creation game (NCG) to allow for disconnected equilibrium networks. There are n players, each is a vertex in a graph, and a strategy is a subset of players to build edges to. For…

计算机科学与博弈论 · 计算机科学 2008-10-28 Ulrik Brandes , Martin Hoefer , Bobo Nick

Drawing intuition from a (physical) hydraulic system, we present a novel framework, constructively showing the existence of a strong Nash equilibrium in resource selection games (i.e., asymmetric singleton congestion games) with nonatomic…

计算机科学与博弈论 · 计算机科学 2016-06-07 Yannai A. Gonczarowski , Moshe Tennenholtz

Network congestion games are a convenient model for reasoning about routing problems in a network: agents have to move from a source to a target vertex while avoiding congestion, measured as a cost depending on the number of players using…

计算机科学与博弈论 · 计算机科学 2022-07-05 Aline Goeminne , Nicolas Markey , Ocan Sankur

Game theory has emerged as a fruitful paradigm for the design of networked multiagent systems. A fundamental component of this approach is the design of agents' utility functions so that their self-interested maximization results in a…

计算机科学与博弈论 · 计算机科学 2020-03-12 Dario Paccagnan , Rahul Chandan , Jason R. Marden

We introduce a game where players selfishly choose a resource and endure a cost depending on the number of players choosing nearby resources. We model the influences among resources by a weighted graph, directed or not. These games are…

离散数学 · 计算机科学 2026-04-08 David Auger , Johanne Cohen , Antoine Lobstein

Motivated by recent progress on pricing in the AI literature, we study marketplaces that contain multiple vendors offering identical or similar products and unit-demand buyers with different valuations on these vendors. The objective of…