Playing large games using simple strategies
Proceedings of the 4th ACM conference on Electronic commerce
Near-optimal network design with selfish agents
Proceedings of the thirty-fifth annual ACM symposium on Theory of computing
The price of anarchy is independent of the network topology
Journal of Computer and System Sciences - STOC 2002
Market sharing games applied to content distribution in ad-hoc networks
Proceedings of the 5th ACM international symposium on Mobile ad hoc networking and computing
STOC '04 Proceedings of the thirty-sixth annual ACM symposium on Theory of computing
The complexity of pure Nash equilibria
STOC '04 Proceedings of the thirty-sixth annual ACM symposium on Theory of computing
Selfish caching in distributed systems: a game-theoretic analysis
Proceedings of the twenty-third annual ACM symposium on Principles of distributed computing
Proceedings of the twenty-third annual ACM symposium on Principles of distributed computing
Computing equilibria in multi-player games
SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
A network pricing game for selfish traffic
Proceedings of the twenty-fourth annual ACM symposium on Principles of distributed computing
Sink Equilibria and Convergence
FOCS '05 Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science
Tight approximation algorithms for maximum general assignment problems
SODA '06 Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm
Bottleneck links, variable demand, and the tragedy of the commons
SODA '06 Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm
Utility based sensor selection
Proceedings of the 5th international conference on Information processing in sensor networks
Structure and complexity of extreme Nash equilibria
Theoretical Computer Science - Game theory meets theoretical computer science
Proceedings of the 41st annual Design Automation Conference
On the severity of Braess's paradox: designing networks for selfish users is hard
Journal of Computer and System Sciences - Special issue on FOCS 2001
IEEE Transactions on Computers
Competition and Efficiency in Congested Markets
Mathematics of Operations Research
On the convergence of multicast games in directed networks
Proceedings of the nineteenth annual ACM symposium on Parallel algorithms and architectures
Multievent Crisis Management Using Noncooperative Multistep Games
IEEE Transactions on Computers
Convergence to approximate Nash equilibria in congestion games
SODA '07 Proceedings of the eighteenth annual ACM-SIAM symposium on Discrete algorithms
SODA '07 Proceedings of the eighteenth annual ACM-SIAM symposium on Discrete algorithms
On the value of coordination in network design
Proceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms
Regret minimization and the price of total anarchy
STOC '08 Proceedings of the fortieth annual ACM symposium on Theory of computing
Fast convergence to nearly optimal solutions in potential games
Proceedings of the 9th ACM conference on Electronic commerce
On domination game analysis for microeconomic data mining
ACM Transactions on Knowledge Discovery from Data (TKDD)
Conflicting Congestion Effects in Resource Allocation Games
WINE '08 Proceedings of the 4th International Workshop on Internet and Network Economics
On Pure and (Approximate) Strong Equilibria of Facility Location Games
WINE '08 Proceedings of the 4th International Workshop on Internet and Network Economics
Intrinsic robustness of the price of anarchy
Proceedings of the forty-first annual ACM symposium on Theory of computing
On the complexity of nash dynamics and sink equilibria
Proceedings of the 10th ACM conference on Electronic commerce
Proceedings of the 10th ACM conference on Electronic commerce
Nash Dynamics in Constant Player and Bounded Jump Congestion Games
SAGT '09 Proceedings of the 2nd International Symposium on Algorithmic Game Theory
Performances of One-Round Walks in Linear Congestion Games
SAGT '09 Proceedings of the 2nd International Symposium on Algorithmic Game Theory
Approximate Pure Nash Equilibria via Lovász Local Lemma
WINE '09 Proceedings of the 5th International Workshop on Internet and Network Economics
Covering Games: Approximation through Non-cooperation
WINE '09 Proceedings of the 5th International Workshop on Internet and Network Economics
Computational Aspects of Multimarket Price Wars
WINE '09 Proceedings of the 5th International Workshop on Internet and Network Economics
Theoretical Computer Science
Non-cooperative facility location and covering games
Theoretical Computer Science
Nash equilibria in Voronoi games on graphs
ESA'07 Proceedings of the 15th annual European conference on Algorithms
Competitive influence maximization in social networks
WINE'07 Proceedings of the 3rd international conference on Internet and network economics
The limits of smoothness: a primal-dual framework for price of anarchy bounds
WINE'10 Proceedings of the 6th international conference on Internet and network economics
Mechanisms for (mis)allocating scientific credit
Proceedings of the forty-third annual ACM symposium on Theory of computing
Dynamic inefficiency: anarchy without stability
SAGT'11 Proceedings of the 4th international conference on Algorithmic game theory
Braess's paradox, fibonacci numbers, and exponential inapproximability
ICALP'05 Proceedings of the 32nd international conference on Automata, Languages and Programming
Interference-aware selfish routing in multi-ratio multi-channel wireless mesh networks
ATC'06 Proceedings of the Third international conference on Autonomic and Trusted Computing
Price of anarchy, locality gap, and a network service provider game
WINE'05 Proceedings of the First international conference on Internet and Network Economics
Multi-agent based selfish routing for multi-channel wireless mesh networks
PRIMA'06 Proceedings of the 9th Pacific Rim international conference on Agent Computing and Multi-Agent Systems
Multicast transmissions in non-cooperative networks with a limited number of selfish moves
MFCS'06 Proceedings of the 31st international conference on Mathematical Foundations of Computer Science
MFCS'06 Proceedings of the 31st international conference on Mathematical Foundations of Computer Science
On nash equilibria in non-cooperative all-optical networks
STACS'05 Proceedings of the 22nd annual conference on Theoretical Aspects of Computer Science
On nash equilibria for multicast transmissions in ad-hoc wireless networks
ISAAC'04 Proceedings of the 15th international conference on Algorithms and Computation
Non-cooperative facility location and covering games
ISAAC'06 Proceedings of the 17th international conference on Algorithms and Computation
The robust price of anarchy of altruistic games
WINE'11 Proceedings of the 7th international conference on Internet and Network Economics
Intrinsic robustness of the price of anarchy
Communications of the ACM
Competitive contagion in networks
STOC '12 Proceedings of the forty-fourth annual ACM symposium on Theory of computing
The price of anarchy in games of incomplete information
Proceedings of the 13th ACM Conference on Electronic Commerce
The speed of convergence in congestion games under best-response dynamics
ACM Transactions on Algorithms (TALG)
Conflicting Congestion Effects in Resource Allocation Games
Operations Research
A theoretical examination of practical game playing: lookahead search
SAGT'12 Proceedings of the 5th international conference on Algorithmic Game Theory
An enriched game-theoretic framework for multi-objective clustering
Applied Soft Computing
Operations Research
ACM Transactions on Economics and Computation
User satisfaction in competitive sponsored search
Proceedings of the 23rd international conference on World wide web
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We consider the following class of problems. The value of an outcome to a society is measured via a submodular utility function (submodularity has a natural economic interpretation: decreasing marginal utility). Decisions, however are controlled by non-cooperative agents who seek to maximise their own private utility. We present, under some basic assumptions, guarantees on the social performance of Nash equilibria. For submodular utility functions, any Nash equilibrium gives an expected social utility within a factor 2 of optimal, subject to a function-dependent additive term. For non-decreasing, submodular utility functions, any Nash equilibrium gives an expected social utility within a factor 1 + \deltaof optimal, where 0 \leqslant \delta\leqslant 1 is a number based upon the discrete curvature of the function. A condition under which all sets of social and private utility functions induce pure strategy Nash equilibria is presented. The case in which agents, themselves, make use of approximation algorithms in decision making is discussed and performance guarantees given. Finally we present some specific problems that fall into our framework. These include the competitive versions of the facility location problem and k-median problem, a maximisation version of the traffic routing problem studied by Roughgarden and Tardos [9], and multiple-item auctions.