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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

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

We study how the structure of the interaction graph of a game affects the existence of pure Nash equilibria. In particular, for a fixed interaction graph, we are interested in whether there are pure Nash equilibria arising when random…

Probability · Mathematics 2012-11-13 Constantinos Daskalakis , Alexandros G. Dimakis , Elchanan Mossel

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 introduce a network design game where the objective of the players is to design the interconnections between the nodes of two different networks $G_1$ and $G_2$ in order to maximize certain local utility functions. In this setting, each…

Computer Science and Game Theory · Computer Science 2016-12-22 Ebrahim Moradi Shahrivar , Shreyas Sundaram

In recent work by Bramoull\'{e} and Kranton, a model for the provision of public goods on a network was presented and relations between equilibria of such a game and properties of the network were established. This model was further…

Computer Science and Game Theory · Computer Science 2019-06-19 Karan N. Chadha , Ankur A. Kulkarni

Selfish Network Creation focuses on modeling real world networks from a game-theoretic point of view. One of the classic models by Fabrikant et al. [PODC'03] is the network creation game, where agents correspond to nodes in a network which…

Computer Science and Game Theory · Computer Science 2018-01-08 Davide Bilò , Pascal Lenzner

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

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

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…

Computer Science and Game Theory · Computer Science 2017-07-03 Ankit Chauhan , Pascal Lenzner , Anna Melnichenko , Louise Molitor

We analyze a network formation game in a strategic setting where payoffs of individuals depend only on their immediate neighbourhood. We call these payoffs as localized payoffs. In this game, the payoff of each individual captures (1) the…

Social and Information Networks · Computer Science 2012-01-04 Rohith Dwarakanath Vallam , C. A. Subramanian , Ramasuri Narayanam , Y. Narahari , Srinath Narasimha

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

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 sharing economy network where agents embedded in a graph share their resources. This is a fundamental model that abstracts numerous emerging applications of collaborative consumption systems. The agents generate a random…

Computer Science and Game Theory · Computer Science 2017-03-29 Leonidas Georgiadis , George Iosifidis , Leandros Tassiulas

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

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…

Computer Science and Game Theory · Computer Science 2023-12-19 Hangxin Gan , Xianhao Meng , Chunying Ren , Yongtang Shi

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

A recent body of experimental literature has studied empirical game-theoretical analysis, in which we have partial knowledge of a game, consisting of observations of a subset of the pure-strategy profiles and their associated payoffs to…

Computer Science and Game Theory · Computer Science 2014-02-13 John Fearnley , Martin Gairing , Paul Goldberg , Rahul Savani

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…

Computer Science and Game Theory · Computer Science 2010-09-23 Christian Borgs , Jennifer Chayes , Jian Ding , Brendan Lucier

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…

Computer Science and Game Theory · Computer Science 2022-04-26 Tobias Friedrich , Hans Gawendowicz , Pascal Lenzner , Anna Melnichenko