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We consider a game-theoretical problem called selfish 2-dimensional bin packing game, a generalization of the 1-dimensional case already treated in the literature. In this game, the items to be packed are rectangles, and the bins are unit…

计算机科学与博弈论 · 计算机科学 2017-07-26 Cristina G. Fernandes , Carlos E. Ferreira , Flávio K. Miyazawa , Yoshiko Wakabayashi

We consider a two-way trading problem, where investors buy and sell a stock whose price moves within a certain range. Naturally they want to maximize their profit. Investors can perform up to $k$ trades, where each trade must involve the…

数据结构与算法 · 计算机科学 2017-06-19 Stanley P. Y. Fung

We study a setting in which two players play a (possibly approximate) Nash equilibrium of a bimatrix game, while a learner observes only their actions and has no knowledge of the equilibrium or the underlying game. A natural question is…

计算机科学与博弈论 · 计算机科学 2026-05-27 Annalisa Barbara , Riccardo Poiani , Martino Bernasconi , Andrea Celli

In this paper we introduce a capacity allocation game which models the problem of maximizing network utility from the perspective of distributed noncooperative agents. Motivated by the idea of self-managed networks, in the developed…

计算机科学与博弈论 · 计算机科学 2013-07-23 Dariusz Gcasior , Maciej Drwal

In \emph{bandwidth allocation games} (BAGs), the strategy of a player consists of various demands on different resources. The player's utility is at most the sum of these demands, provided they are fully satisfied. Every resource has a…

计算机科学与博弈论 · 计算机科学 2018-07-10 Maximilian Drees , Matthias Feldotto , Sören Riechers , Alexander Skopalik

We present a general technique, based on a primal-dual formulation, for analyzing the quality of self-emerging solutions in weighted congestion games. With respect to traditional combinatorial approaches, the primal-dual schema has at least…

计算机科学与博弈论 · 计算机科学 2011-10-26 Vittorio Bilò

This paper studies a class of network games with linear-quadratic payoffs and externalities exerted through a strictly concave interaction function. This class of game is motivated by the diminishing marginal effects with peer influences.…

最优化与控制 · 数学 2024-06-04 Jiamin Cai , Chenyue Zhang , Hoi-To Wai

In selfish bin packing, each item is regarded as a selfish player, who aims to minimize the cost-share by choosing a bin it can fit in. To have a least number of bins used, cost-sharing rules play an important role. The currently best known…

计算机科学与博弈论 · 计算机科学 2023-10-03 Changjun Wang , Guochuan Zhang

We consider the classical machine scheduling, where $n$ jobs need to be scheduled on $m$ machines, and where job $j$ scheduled on machine $i$ contributes $p_{i,j}\in \mathbb{R}$ to the load of machine $i$, with the goal of minimizing the…

计算机科学与博弈论 · 计算机科学 2020-09-09 Cong Chen , Paul Giessler , Akaki Mamageishvili , Matus Mihalak , Paolo Penna

Network creation games have been extensively studied, both from economists and computer scientists, due to their versatility in modeling individual-based community formation processes, which in turn are the theoretical counterpart of…

计算机科学与博弈论 · 计算机科学 2016-07-25 Davide Bilò , Luciano Gualà , Stefano Leucci , Guido Proietti

This work considers a stochastic Nash game in which each player solves a parameterized stochastic optimization problem. In deterministic regimes, best-response schemes have been shown to be convergent under a suitable spectral property…

最优化与控制 · 数学 2018-02-08 Jinlong Lei , Uday V. Shanbhag , Jong-Shi Pang , Suvrajeet Sen

We consider the capacitated selfish replication (CSR) game with binary preferences, over general undirected networks. We first show that such games have an associated ordinary potential function, and hence always admit a pure-strategy Nash…

计算机科学与博弈论 · 计算机科学 2016-03-14 Seyed Rasoul Etesami , Tamer Basar

We study non-atomic congestion games on parallel-link networks with affine cost functions. We investigate the power of machine-learned predictions in the design of coordination mechanisms aimed at minimizing the impact of selfishness. Our…

计算机科学与博弈论 · 计算机科学 2025-07-11 George Christodoulou , Vasilis Christoforidis , Alkmini Sgouritsa , Ioannis Vlachos

Payment channels were introduced to solve various eminent cryptocurrency scalability issues. Multiple payment channels build a network on top of a blockchain, the so-called layer 2. In this work, we analyze payment networks through the lens…

计算机科学与博弈论 · 计算机科学 2019-12-11 Zeta Avarikioti , Lioba Heimbach , Yuyi Wang , Roger Wattenhofer

We introduce a new measure of the discrepancy in strategic games between the social welfare in a Nash equilibrium and in a social optimum, that we call selfishness level. It is the smallest fraction of the social welfare that needs to be…

计算机科学与博弈论 · 计算机科学 2014-04-04 Krzysztof R. Apt , Guido Schaefer

The standard game-theoretic solution concept, Nash equilibrium, assumes that all players behave rationally. If we follow a Nash equilibrium and opponents are irrational (or follow strategies from a different Nash equilibrium), then we may…

计算机科学与博弈论 · 计算机科学 2023-08-22 Sam Ganzfried

We study a security game over a network played between a $defender$ and $k$ $attackers$. Every attacker chooses, probabilistically, a node of the network to damage. The defender chooses, probabilistically as well, a connected induced…

计算机科学与博弈论 · 计算机科学 2019-06-10 Eleni C. Akrida , Argyrios Deligkas , Themistoklis Melissourgos , Paul G. Spirakis

We consider a randomized algorithm for the unique games problem, using independent multinomial probabilities to assign labels to the vertices of a graph. The expected value of the solution obtained by the algorithm is expressed as a…

计算复杂性 · 计算机科学 2015-08-10 Rajeev Kohli , Ramesh Krishnamurti

In this paper we study the inefficiency ratio of stable equilibria in load balancing games introduced by Asadpour and Saberi [3]. We prove tighter lower and upper bounds of 7/6 and 4/3, respectively. This improves over the best known bounds…

计算机科学与博弈论 · 计算机科学 2015-12-14 Akaki Mamageishvili , Paolo Penna

We study selfish routing games where users can choose between regular and priority service for each network edge on their chosen path. Priority users pay an additional fee, but in turn they may travel the edge prior to non-priority users,…

计算机科学与博弈论 · 计算机科学 2026-02-09 Yang Li , Alexander Skopalik , Marc Uetz