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We investigate traffic routing both from the perspective of theory as well as real world data. First, we introduce a new type of games: $\theta$-free flow games. Here, commuters only consider, in their strategy sets, paths whose free-flow…

计算机科学与博弈论 · 计算机科学 2022-03-22 Francisco Benita , Vittorio Bilò , Barnabé Monnot , Georgios Piliouras , Cosimo Vinci

The cost-sharing connection game is a variant of routing games on a network. In this model, given a directed graph with edge costs and edge capacities, each agent wants to construct a path from a source to a sink with low cost. The users…

计算机科学与博弈论 · 计算机科学 2023-03-01 Tesshu Hanaka , Toshiyuki Hirose , Hirotaka Ono

We study the strategic formation of multi-layer networks, where each layer represents a different type of relationship between the nodes in the network and is designed to maximize some utility that depends on the topology of that layer and…

计算机科学与博弈论 · 计算机科学 2015-10-29 Ebrahim Moradi Shahrivar , Shreyas Sundaram

The goal in this paper is to approximate the Price of Stability (PoS) in stochastic Nash games using stochastic approximation (SA) schemes. PoS is amongst the most popular metrics in game theory and provides an avenue for estimating the…

最优化与控制 · 数学 2023-10-31 Afrooz Jalilzadeh , Farzad Yousefian , Mohammadjavad Ebrahimi

In the swap game (SG) selfish players, each of which is associated to a vertex, form a graph by edge swaps, i.e., a player changes its strategy by simultaneously removing an adjacent edge and forming a new edge (Alon et al., 2013). The cost…

人工智能 · 计算机科学 2019-11-13 Shotaro Yoshimura , Yukiko Yamauchi

A central question in algorithmic game theory is to measure the inefficiency (ratio of costs) of Nash equilibria (NE) with respect to socially optimal solutions. The two established metrics used for this purpose are price of anarchy (POA)…

数据结构与算法 · 计算机科学 2016-11-24 Shuchi Chawla , Joseph , Naor , Debmalya Panigrahi , Mohit Singh , Seeun William Umboh

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 analyze a game-theoretic abstraction of epidemic containment played on an undirected graph $G$: each player is associated with a node in $G$ and can either acquire protection from a contagious process or risk infection. After decisions…

计算机科学与博弈论 · 计算机科学 2023-04-25 Mason DiCicco , Henry Poskanzer , Daniel Reichman

We propose a new class of game-theoretic models for network formation in which strategies are not directly related to edge choices, but instead correspond more generally to the exertion of social effort. The observed social network is thus…

计算机科学与博弈论 · 计算机科学 2010-09-23 Christian Borgs , Jennifer Chayes , Jian Ding , Brendan Lucier

We consider a weighted Shapley network design game, where selfish players choose paths in a network to minimize their cost. The cost function of each edge in the network is affine linear with respect to the sum of weights of the players who…

计算机科学与博弈论 · 计算机科学 2023-12-19 Hangxin Gan , Xianhao Meng , Chunying Ren , Yongtang Shi

A common assumption in the existing network coding literature is that the users are cooperative and non-selfish. However, this assumption can be violated in practice. In this paper, we analyze inter-session network coding in a wired network…

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 study a network formation game where $n$ players, identified with the nodes of a directed graph to be formed, choose where to wire their outgoing links in order to maximize their PageRank centrality. Specifically, the action of every…

社会与信息网络 · 计算机科学 2023-09-12 Costanza Catalano , Maria Castaldo , Giacomo Como , Fabio Fagnani

We study Nash equilibria and the price of anarchy in the classic model of Network Creation Games introduced by Fabrikant et al. In this model every agent (node) buys links at a prefixed price $\alpha > 0$ in order to get connected to the…

计算机科学与博弈论 · 计算机科学 2018-09-24 C. Àlvarez , A. Messegué

This paper considers coverage games in which a group of agents are tasked with identifying the highest-value subset of resources; in this context, game-theoretic approaches are known to yield Nash equilibria within a factor of 2 of optimal.…

计算机科学与博弈论 · 计算机科学 2021-03-31 Joshua Seaton , Philip Brown

We reconsider the well-studied Selfish Routing game with affine latency functions. The Price of Anarchy for this class of games takes maximum value 4/3; this maximum is attained already for a simple network of two parallel links, known as…

计算机科学与博弈论 · 计算机科学 2015-03-20 George Christodoulou , Kurt Mehlhorn , Evangelia Pyrga

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 study the performance of approximate Nash equilibria for linear congestion games. We consider how much the price of anarchy worsens and how much the price of stability improves as a function of the approximation factor $\epsilon$. We…

计算机科学与博弈论 · 计算机科学 2008-12-18 George Christodoulou , Elias Koutsoupias , Paul Spirakis

We present a new class of vertex cover and set cover games. The price of anarchy bounds match the best known constant factor approximation guarantees for the centralized optimization problems for linear and also for submodular costs -- in…

计算机科学与博弈论 · 计算机科学 2012-03-02 Georgios Piliouras , Tomas Valla , Laszlo A. Vegh

During a pandemic people have to find a trade-off between meeting others and staying safely at home. While meeting others is pleasant, it also increases the risk of infection. We consider this dilemma by introducing a game-theoretic network…

计算机科学与博弈论 · 计算机科学 2022-04-26 Tobias Friedrich , Hans Gawendowicz , Pascal Lenzner , Anna Melnichenko