The price of stability for network design with fair cost allocation

E Anshelevich, A Dasgupta, J Kleinberg, É Tardos… - SIAM Journal on …, 2008 - SIAM
Network design is a fundamental problem for which it is important to understand the effects
of strategic behavior. Given a collection of self-interested agents who want to form a network …

Intrinsic robustness of the price of anarchy

T Roughgarden - Journal of the ACM (JACM), 2015 - dl.acm.org
The price of anarchy, defined as the ratio of the worst-case objective function value of a
Nash equilibrium of a game and that of an optimal outcome, quantifies the inefficiency of …

Strong price of anarchy

N Andelman, M Feldman, Y Mansour - Games and Economic Behavior, 2009 - Elsevier
A strong equilibrium is a pure Nash equilibrium which is resilient to deviations by coalitions.
We define the strong price of anarchy (SPoA) to be the ratio of the worst strong equilibrium to …

The price of selfish behavior in bilateral network formation

J Corbo, D Parkes - Proceedings of the twenty-fourth annual ACM …, 2005 - dl.acm.org
Given a collection of selfish agents who wish to establish links to route traffic among
themselves, the set of equilibrium network topologies may appear quite different from the …

Designing network protocols for good equilibria

HL Chen, T Roughgarden, G Valiant - SIAM Journal on Computing, 2010 - SIAM
Designing and deploying a network protocol determines the rules by which end users
interact with each other and with the network. We consider the problem of designing a …

The price of anarchy in network creation games

ED Demaine, MT Hajiaghayi, H Mahini… - ACM Transactions on …, 2012 - dl.acm.org
We study Nash equilibria in the setting of network creation games introduced recently by
Fabrikant, Luthra, Maneva, Papadimitriou, and Shenker. In this game we have a set of …

Network design with weighted players

HL Chen, T Roughgarden - Proceedings of the eighteenth annual ACM …, 2006 - dl.acm.org
We consider a model of game-theoretic network design initially studied by Anshelevich et
al.[2], where selfish players select paths in a network to minimize their cost, which is …

Strong equilibrium in cost sharing connection games

A Epstein, M Feldman, Y Mansour - … of the 8th ACM conference on …, 2007 - dl.acm.org
In this work we study cost sharing connection games, where each player has a source and
sink he would like to connect, and the cost of the edges is either shared equally (fair …

[PDF][PDF] Network formation games and the potential function method

E Tardos, T Wexler - Algorithmic Game Theory, 2007 - cs.cmu.edu
Large computer networks such as the Internet are built, operated, and used by a large
number of diverse and competitive entities. In light of these competing forces, it is surprising …

Minimizing the diameter of a network using shortcut edges

ED Demaine, M Zadimoghaddam - Scandinavian Workshop on Algorithm …, 2010 - Springer
We study the problem of minimizing the diameter of a graph by adding k shortcut edges, for
speeding up communication in an existing network design. We develop constant-factor …