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Group Strategyproof Mechanisms via Primal-Dual Algorithms
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The price of selfish behavior in bilateral network formation
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Non-cooperative multicast and facility location games
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Strong equilibrium in cost sharing connection games
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Bounded budget connection (BBC) games or how to make friends and influence people, on a budget
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The Price of Stability for Network Design with Fair Cost Allocation
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On the Value of Coordination in Network Design
SIAM Journal on Computing
Approximate Pure Nash Equilibria via Lovász Local Lemma
WINE '09 Proceedings of the 5th International Workshop on Internet and Network Economics
Strategyproof cost-sharing mechanisms for set cover and facility location games
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A network creation game with nonuniform interests
WINE'07 Proceedings of the 3rd international conference on Internet and network economics
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Designing Network Protocols for Good Equilibria
SIAM Journal on Computing
On the price of stability for designing undirected networks with fair cost allocations
ICALP'06 Proceedings of the 33rd international conference on Automata, Languages and Programming - Volume Part I
The complexity of approximate nash equilibrium in congestion games with negative delays
WINE'11 Proceedings of the 7th international conference on Internet and Network Economics
Enforcing efficient equilibria in network design games via subsidies
Proceedings of the twenty-fourth annual ACM symposium on Parallelism in algorithms and architectures
Greedy selfish network creation
WINE'12 Proceedings of the 8th international conference on Internet and Network Economics
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We study a basic network design game where n self-interested agents, each having individual connectivity requirements, wish to build a network by purchasing links from a given set of edges. A fundamental cost sharing mechanism is Shapley cost sharing that splits the cost of an edge in a fair manner among the agents using the edge. In this paper we investigate if an optimal minimum-cost network represents an attractive, relatively stable state that agents might want to purchase. We resort to the concept of a-approximate Nash equilibria. We prove that for single source games in undirected graphs, any optimal network represents an H(n)-approximate Nash equilibrium, where H(n) is the n-th Harmonic number.We show that this bound is tight.We extend the results to cooperative games, where agents may form coalitions, and to weighted games. In both cases we give tight or nearly tight lower and upper bounds on the stability of optimal solutions. Finally we show that in general source-sink games and in directed graphs, minimum-cost networks do not represent good states.