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Congestion games are a classical type of games studied in game theory, in which n players choose a resource, and their individual cost increases with the number of other players choosing the same resource. In network congestion games…

Computer Science and Game Theory · Computer Science 2020-09-30 Nathalie Bertrand , Nicolas Markey , Suman Sadhukhan , Ocan Sankur

Network creation games model the creation and usage costs of networks formed by n selfish nodes. Each node v can buy a set of edges, each for a fixed price \alpha > 0. Its goal is to minimize its private costs, i.e., the sum (SUM-game,…

Computer Science and Game Theory · Computer Science 2014-09-19 Andreas Cord-Landwehr , Alexander Mäcker , Friedhelm Meyer auf der Heide

In the network design game with $n$ players, every player chooses a path in an edge-weighted graph to connect her pair of terminals, sharing costs of the edges on her path with all other players fairly. We study the price of stability of…

Computer Science and Game Theory · Computer Science 2014-06-16 Akaki Mamageishvili , Matúš Mihalák , Simone Montemezzani

How do rational agents self-organize when trying to connect to a common target? We study this question with a simple tree formation game which is related to the well-known fair single-source connection game by Anshelevich et al. (FOCS'04)…

Computer Science and Game Theory · Computer Science 2020-09-24 Davide Bilò , Tobias Friedrich , Pascal Lenzner , Anna Melnichenko , Louise Molitor

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

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 consider a network creation game in which each player (vertex) has a fixed budget to establish links to other players. In our model, each link has unit price and each agent tries to minimize its cost, which is either its local diameter…

Computer Science and Game Theory · Computer Science 2015-04-21 Shayan Ehsani , Saber Shokat Fadaee , MohammadAmin Fazli , Abbas Mehrabian , Sina Sadeghian Sadeghabad , MohammadAli Safari , Morteza Saghafian

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…

Computer Science and Game Theory · Computer Science 2023-04-25 Mason DiCicco , Henry Poskanzer , Daniel Reichman

We study the structure and evolution of the Internet's Autonomous System (AS) interconnection topology as a game with heterogeneous players. In this network formation game, the utility of a player depends on the network structure, e.g., the…

Computer Science and Game Theory · Computer Science 2014-04-23 Eli. A. Meirom , Shie Mannor , Ariel Orda

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…

Computer Science and Game Theory · Computer Science 2015-10-29 Ebrahim Moradi Shahrivar , Shreyas Sundaram

In this paper, we consider the Shapley network design game on undirected networks. In this game, we have an edge weighted undirected network $G(V,E)$ and $n$ selfish players where player $i$ wants to choose a path from source vertex $s_i$…

Computer Science and Game Theory · Computer Science 2014-01-27 Jian Li

We introduce Shortest Connection Game, a two-player game played on a directed graph with edge costs. Given two designated vertices in which they start, the players take turns in choosing edges emanating from the vertex they are currently…

Computer Science and Game Theory · Computer Science 2015-11-26 Andreas Darmann , Ulrich Pferschy , Joachim Schauer

We study the sum classic network creation game introduced by Fabrikant et al. in which $n$ players conform a network buying links at individual price $\alpha$. When studying this model we are mostly interested in \emph{Nash equilibria}…

Computer Science and Game Theory · Computer Science 2020-12-29 Carme Àlvarez , Arnau Messegué

We study network formation with n players and link cost \alpha > 0. After the network is built, an adversary randomly deletes one link according to a certain probability distribution. Cost for player v incorporates the expected number of…

Computer Science and Game Theory · Computer Science 2012-02-23 Lasse Kliemann

Many real-world networks, like the Internet, are not the result of central design but instead the outcome of the interaction of local agents who are selfishly optimizing for their individual utility. The famous Network Creation Game…

Computer Science and Game Theory · Computer Science 2023-05-12 Tobias Friedrich , Hans Gawendowicz , Pascal Lenzner , Arthur Zahn

We consider the dynamic behavior of several variants of the Network Creation Game, introduced by Fabrikant et al. [PODC'03]. Equilibrium networks in these models have desirable properties like low social cost and small diameter, which makes…

Computer Science and Game Theory · Computer Science 2013-05-29 Bernd Kawald , Pascal Lenzner

We study the Nash equilibrium and the price of anarchy in the max-distance network creation game. Network creation game, first introduced and studied by Fabrikant et al., is a classic model for real-world networks from a game-theoretic…

Computer Science and Game Theory · Computer Science 2022-07-12 Qian Wang

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…

Computer Science and Game Theory · Computer Science 2025-10-02 Hans Gawendowicz , Pascal Lenzner , Lukas Weyand

We establish a network formation game for the Internet's Autonomous System (AS) interconnection topology. The game includes different types of players, accounting for the heterogeneity of ASs in the Internet. In this network formation game,…

Computer Science and Game Theory · Computer Science 2016-05-24 Eli A. Meirom , Shie Mannor , Ariel Orda

In this work we address a game theoretic variant of the shortest path problem, in which two decision makers (players) move together along the edges of a graph from a given starting vertex to a given destination. The two players take turns…

Discrete Mathematics · Computer Science 2015-06-02 Andreas Darmann , Ulrich Pferschy , Joachim Schauer