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In this paper we study a generalization of the classic \emph{network creation game} in the scenario in which the $n$ players sit on a given arbitrary \emph{host graph}, which constrains the set of edges a player can activate at a cost of…

Computer Science and Game Theory · Computer Science 2014-07-03 Davide Bilò , Luciano Gualà , Stefano Leucci , Guido Proietti

We study the extent to which decentralized cost-sharing protocols can achieve good price of anarchy (PoA) bounds in network cost-sharing games with $n$ agents. We focus on the model of resource-aware protocols, where the designer has prior…

Computer Science and Game Theory · Computer Science 2020-07-09 George Christodoulou , Vasilis Gkatzelis , Mohamad Latifian , Alkmini Sgouritsa

The congestion pricing is an efficient allocation approach to mediate demand and supply of network resources. Different from the previous pricing using Affine Marginal Cost (AMC), we focus on studying the game between network coding and…

Networking and Internet Architecture · Computer Science 2011-10-20 Wang Gang , Dai Xia

Given a network of nodes, minimizing the spread of a contagion using a limited budget is a well-studied problem with applications in network security, viral marketing, social networks, and public health. In real graphs, virus may infect a…

Discrete Mathematics · Computer Science 2017-11-03 Muhammad Ahmad , Juvaria Tariq , Mudassir Shabbir , Imdadullah Khan

The Price of Anarchy (PoA) is a well-established game-theoretic concept to shed light on coordination issues arising in open distributed systems. Leaving agents to selfishly optimize comes with the risk of ending up in sub-optimal states…

Computer Science and Game Theory · Computer Science 2019-06-04 Krishnendu Chatterjee , Laura Schmid , Stefan Schmid

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…

Artificial Intelligence · Computer Science 2019-11-13 Shotaro Yoshimura , Yukiko Yamauchi

In opinion formation games with directed graphs, a bounded price of anarchy is only known for weighted Eulerian graphs. Thus, we bound the price of anarchy for a more general class of directed graphs with conditions intuitively meaning that…

Computer Science and Game Theory · Computer Science 2016-10-14 Po-An Chen , Yi-Le Chen , Chi-Jen Lu

Designing an optimal network topology while balancing multiple, possibly conflicting objectives like cost, performance, and resiliency to viruses is a challenging endeavor, let alone in the case of decentralized network formation. We…

Computer Science and Game Theory · Computer Science 2017-10-03 Stojan Trajanovski , Fernando A. Kuipers , Yezekael Hayel , Eitan Altman , Piet Van Mieghem

When many independent users try to route traffic through a network, the flow can easily become suboptimal as a consequence of congestion of the most efficient paths. The degree of this suboptimality is quantified by the so-called "price of…

Disordered Systems and Neural Networks · Physics 2015-05-19 Brian Skinner

This paper shows that the PoA in non-atomic congestion games is H{\"o}lder continuous w.r.t. combined disturbance on cost functions and demands. We then apply this result to the convergence analysis of the PoA.

Computer Science and Game Theory · Computer Science 2021-08-24 Zijun Wu , Rolf Moehring

In general, the games are played on a host graph, where each node is a selfish independent agent (player) and each edge has a fixed link creation cost \alpha. Together the agents create a network (a subgraph of the host graph) while…

Computer Science and Game Theory · Computer Science 2009-02-10 Erik D. Demaine , Mohammadtaghi Hajiaghayi , Hamid Mahini , Morteza Zadimoghaddam

We consider a multilevel network game, where nodes can improve their communication costs by connecting to a high-speed network. The $n$ nodes are connected by a static network and each node can decide individually to become a gateway to the…

Computer Science and Game Theory · Computer Science 2014-09-19 Sebastian Abshoff , Andreas Cord-Landwehr , Daniel Jung , Alexander Skopalik

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…

Computer Science and Game Theory · Computer Science 2021-07-20 Wu Zijun , Moehring Rolf H. , Chen Yanyan , Xu Dachuan

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…

Computer Science and Game Theory · Computer Science 2023-03-01 Tesshu Hanaka , Toshiyuki Hirose , Hirotaka Ono

We consider clustering games in which the players are embedded in a network and want to coordinate (or anti-coordinate) their strategy with their neighbors. The goal of a player is to choose a strategy that maximizes her utility given the…

Computer Science and Game Theory · Computer Science 2020-11-20 Pieter Kleer , Guido Schäfer

There have been great efforts in studying the cascading behavior in social networks such as the innovation diffusion, etc. Game theoretically, in a social network where individuals choose from two strategies: A (the innovation) and B (the…

Computer Science and Game Theory · Computer Science 2014-07-29 Xilun Chen , Chenxia Wu

We consider nonatomic network games with one source and one destination. We examine the asymptotic behavior of the price of anarchy as the inflow increases. In accordance with some empirical observations, we show that, under suitable…

Computer Science and Game Theory · Computer Science 2017-04-04 Riccardo Colini-Baldeschi , Roberto Cominetti , Marco Scarsini

A bootstrap percolation process on a graph $G$ is an "infection" process which evolves in rounds. Initially, there is a subset of infected nodes and in each subsequent round each uninfected node which has at least $r$ infected neighbours…

Probability · Mathematics 2013-08-15 Hamed Amini , Nikolaos Fountoulakis

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…

Computer Science and Game Theory · Computer Science 2019-06-10 Eleni C. Akrida , Argyrios Deligkas , Themistoklis Melissourgos , Paul G. Spirakis

We consider the problem of designing network cost-sharing protocols with good equilibria under uncertainty. The underlying game is a multicast game in a rooted undirected graph with nonnegative edge costs. A set of k terminal vertices or…

Computer Science and Game Theory · Computer Science 2015-07-27 George Christodoulou , Alkmini Sgouritsa
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