Approximation algorithms for NP-complete problems on planar graphs
Journal of the ACM (JACM)
Greedy strikes back: improved facility location algorithms
Journal of Algorithms
Algorithmic Aspects of the Core of Combinatorial Optimization Games
Mathematics of Operations Research
Applications of approximation algorithms to cooperative games
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
Approximation algorithms
Journal of the ACM (JACM)
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
FOCS '02 Proceedings of the 43rd Symposium on Foundations of Computer Science
SIAM Journal on Computing
Proceedings of the twenty-second annual symposium on Principles of distributed computing
Group Strategyproof Mechanisms via Primal-Dual Algorithms
FOCS '03 Proceedings of the 44th Annual IEEE Symposium on Foundations of Computer Science
Cooperative facility location games
Journal of Algorithms - Special issue: SODA 2000
Proceedings of the twenty-third annual ACM symposium on Principles of distributed computing
The Price of Routing Unsplittable Flow
Proceedings of the thirty-seventh annual ACM symposium on Theory of computing
Equilibria in topology control games for ad hoc networks
Mobile Networks and Applications
Algorithmic construction of sets for k-restrictions
ACM Transactions on Algorithms (TALG)
Vertex cover might be hard to approximate to within 2-ε
Journal of Computer and System Sciences
Designing networks with good equilibria
Proceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms
Limitations of cross-monotonic cost-sharing schemes
ACM Transactions on Algorithms (TALG)
Online multicast with egalitarian cost sharing
Proceedings of the twentieth annual symposium on Parallelism in algorithms and architectures
Algorithmica
Network Design with Weighted Players
Theory of Computing Systems - Special Issue: Symposium on Parallelism in Algorithms and Architectures 2006; Guest Editors: Robert Kleinberg and Christian Scheideler
Mechanism design for set cover games with selfish element agents
Theoretical Computer Science
The Price of Stability for Network Design with Fair Cost Allocation
SIAM Journal on Computing
On the Value of Coordination in Network Design
SIAM Journal on Computing
Strategyproof cost-sharing mechanisms for set cover and facility location games
Decision Support Systems - Special issue: The fourth ACM conference on electronic commerce
STACS'99 Proceedings of the 16th annual conference on Theoretical aspects of computer science
Selfish service installation in networks
WINE'06 Proceedings of the Second international conference on Internet and Network Economics
On the price of anarchy and stability of correlated equilibria of linear congestion games,,
ESA'05 Proceedings of the 13th annual European conference on Algorithms
Geometric network design with selfish agents
COCOON'05 Proceedings of the 11th annual international conference on Computing and Combinatorics
Price of anarchy, locality gap, and a network service provider game
WINE'05 Proceedings of the First international conference on Internet and Network Economics
Cost sharing and strategyproof mechanisms for set cover games
STACS'05 Proceedings of the 22nd annual conference on Theoretical Aspects of Computer Science
Non-cooperative facility location and covering games
ISAAC'06 Proceedings of the 17th international conference on Algorithms and Computation
Strategic cooperation in cost sharing games
WINE'10 Proceedings of the 6th international conference on Internet and network economics
Survey: Covering problems in facility location: A review
Computers and Industrial Engineering
Proceedings of the 13th ACM Conference on Electronic Commerce
ESA'12 Proceedings of the 20th Annual European conference on Algorithms
LP-Based covering games with low price of anarchy
WINE'12 Proceedings of the 8th international conference on Internet and Network Economics
Hi-index | 5.23 |
We consider a general class of non-cooperative games related to combinatorial covering and facility location problems. A game is based on an integer programming formulation of the corresponding optimization problem, and each of the k players wants to satisfy a subset of the constraints. For that purpose, resources available in integer units must be bought, and their cost can be shared arbitrarily between players. We consider the existence and cost of exact and approximate pure-strategy Nash equilibria. In general, the prices of anarchy and stability are in @Q(k) and deciding the existence of a pure Nash equilibrium is NP-hard. Under certain conditions, however, cheap Nash equilibria exist, in particular if the integrality gap of the underlying integer program is 1, or in the case of single constraint players. We also present algorithms that compute simultaneously near-stable and near-optimal approximate Nash equilibria in polynomial time.