On complexity as bounded rationality (extended abstract)
STOC '94 Proceedings of the twenty-sixth annual ACM symposium on Theory of computing
Randomized algorithms
Expected Length of the Longest Probe Sequence in Hash Code Searching
Journal of the ACM (JACM)
STOC '01 Proceedings of the thirty-third annual ACM symposium on Theory of computing
Algorithms, games, and the internet
STOC '01 Proceedings of the thirty-third annual ACM symposium on Theory of computing
Journal of the ACM (JACM)
Selfish traffic allocation for server farms
STOC '02 Proceedings of the thiry-fourth annual ACM symposium on Theory of computing
The Structure and Complexity of Nash Equilibria for a Selfish Routing Game
ICALP '02 Proceedings of the 29th International Colloquium on Automata, Languages and Programming
Game Theory and Mathematical Economics: A Theoratical Computer Scientist's Introduction
FOCS '01 Proceedings of the 42nd IEEE symposium on Foundations of Computer Science
The price of anarchy is independent of the network topology
Journal of Computer and System Sciences - STOC 2002
STACS'99 Proceedings of the 16th annual conference on Theoretical aspects of computer science
Regret minimization and the price of total anarchy
STOC '08 Proceedings of the fortieth annual ACM symposium on Theory of computing
A new model for selfish routing
Theoretical Computer Science
ESA '08 Proceedings of the 16th annual European symposium on Algorithms
Nash equilibria in discrete routing games with convex latency functions
Journal of Computer and System Sciences
The Price of Anarchy on Uniformly Related Machines Revisited
SAGT '08 Proceedings of the 1st International Symposium on Algorithmic Game Theory
Improving the Efficiency of Load Balancing Games through Taxes
WINE '08 Proceedings of the 4th International Workshop on Internet and Network Economics
The structure and complexity of Nash equilibria for a selfish routing game
Theoretical Computer Science
Atomic routing games on maximum congestion
Theoretical Computer Science
Parametric Packing of Selfish Items and the Subset Sum Algorithm
WINE '09 Proceedings of the 5th International Workshop on Internet and Network Economics
Maximizing the Minimum Load: The Cost of Selfishness
WINE '09 Proceedings of the 5th International Workshop on Internet and Network Economics
Selfish Scheduling with Setup Times
WINE '09 Proceedings of the 5th International Workshop on Internet and Network Economics
Mediated Equilibria in Load-Balancing Games
WINE '09 Proceedings of the 5th International Workshop on Internet and Network Economics
Total latency in singleton congestion games
WINE'07 Proceedings of the 3rd international conference on Internet and network economics
Tradeoffs and Average-Case Equilibria in Selfish Routing
ACM Transactions on Computation Theory (TOCT)
Taxes for linear atomic congestion games
ACM Transactions on Algorithms (TALG)
Bottleneck congestion games with logarithmic price of anarchy
SAGT'10 Proceedings of the Third international conference on Algorithmic game theory
On the inefficiency of equilibria in linear bottleneck congestion games
SAGT'10 Proceedings of the Third international conference on Algorithmic game theory
Selfish Traffic Allocation for Server Farms
SIAM Journal on Computing
Extending the notion of rationality of selfish agents: Second Order Nash equilibria
Theoretical Computer Science
On the quality and complexity of pareto equilibria in the job scheduling game
The 10th International Conference on Autonomous Agents and Multiagent Systems - Volume 2
Smoothed performance guarantees for local search
ESA'11 Proceedings of the 19th European conference on Algorithms
Journal of Combinatorial Optimization
Exact Price of Anarchy for Polynomial Congestion Games
SIAM Journal on Computing
Local search performance guarantees for restricted related parallel machine scheduling
LATIN'10 Proceedings of the 9th Latin American conference on Theoretical Informatics
The price of anarchy on uniformly related machines revisited
Information and Computation
The price of anarchy for minsum related machine scheduling
WAOA'11 Proceedings of the 9th international conference on Approximation and Online Algorithms
Future Generation Computer Systems
Approximate strong equilibria in job scheduling games with two uniformly related machines
Discrete Applied Mathematics
On Nash Equilibria for a Network Creation Game
ACM Transactions on Economics and Computation
Theoretical Computer Science
The cost of selfishness for maximizing the minimum load on uniformly related machines
Journal of Combinatorial Optimization
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We study the problem of traffic routing in noncooperative networks. In such networks, users may follow selfish strategies to optimize their own performance measure and therefore, their behavior does not have to lead to optimal performance of the entire network. In this article we investigate the worst-case coordination ratio, which is a game-theoretic measure aiming to reflect the price of selfish routing. Following a line of previous work, we focus on the most basic networks consisting of parallel links with linear latency functions. Our main result is that the worst-case coordination ratio on m parallel links of possibly different speeds is Θ(log m/log log log m). In fact, we are able to give an exact description of the worst-case coordination ratio, depending on the number of links and ratio of speed of the fastest link over the speed of the slowest link. For example, for the special case in which all m parallel links have the same speed, we can prove that the worst-case coordination ratio is Γ(−1) (m) + Θ(1), with Γ denoting the Gamma (factorial) function. Our bounds entirely resolve an open problem posed recently by Koutsoupias and Papadimitriou [1999].