Improved approximation algorithms for uniform connectivity problems
Journal of Algorithms
Power consumption in packet radio networks
Theoretical Computer Science
Ad hoc networking: an introduction
Ad hoc networking
Topology control and routing in ad hoc networks: a survey
ACM SIGACT News
Using directional antennas for medium access control in ad hoc networks
Proceedings of the 8th annual international conference on Mobile computing and networking
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
An on-demand minimum energy routing protocol for a wireless ad hoc network
ACM SIGMOBILE Mobile Computing and Communications Review
Near-optimal network design with selfish agents
Proceedings of the thirty-fifth annual ACM symposium on Theory of computing
Proceedings of the twenty-second annual symposium on Principles of distributed computing
Designing Networks for Selfish Users is Hard
FOCS '01 Proceedings of the 42nd IEEE symposium on Foundations of Computer Science
Selfish routing
Proceedings of the 9th annual international conference on Mobile computing and networking
Power optimization in fault-tolerant topology control algorithms for wireless multi-hop networks
Proceedings of the 9th annual international conference on Mobile computing and networking
Equilibria in topology control games for ad hoc networks
DIALM-POMC '03 Proceedings of the 2003 joint workshop on Foundations of mobile computing
Stimulating cooperation in self-organizing mobile ad hoc networks
Mobile Networks and Applications
On a locally minimum cost forwarding game
Proceedings of the 2nd ACM international workshop on Foundations of wireless ad hoc and sensor networking and computing
Applications of game theory to mobile ad hoc networks: node spreading potential game
SARNOFF'09 Proceedings of the 32nd international conference on Sarnoff symposium
Non-cooperative facility location and covering games
Theoretical Computer Science
The price of ignorance: distributed topology control in cognitive networks
IEEE Transactions on Wireless Communications
Self spreading nodes using potential games and genetic algorithms
Sarnoff'10 Proceedings of the 33rd IEEE conference on Sarnoff
Efficient node distribution techniques in mobile ad hoc networks using game theory
MILCOM'09 Proceedings of the 28th IEEE conference on Military communications
A combinational perspective in stimulating cooperation in mobile ad hoc networks
Journal of Computer Science and Technology
Energy-efficient topology control in wireless ad hoc networks with selfish nodes
Computer Networks: The International Journal of Computer and Telecommunications Networking
Virtual Game-Based Energy Balanced Topology Control Algorithm for Wireless Sensor Networks
Wireless Personal Communications: An International Journal
Neighbor Selection Game in Wireless Ad Hoc Networks
Wireless Personal Communications: An International Journal
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We study topology control problems in ad hoc networks where network nodes get to choose their power levels in order to ensure desired connectivity properties. Unlike most other work on this topic, we assume that the network nodes are owned by different entities, whose only goal is to maximize their own utility that they get out of the network without considering the overall performance of the network. Game theory is the appropriate tool to study such selfish nodes: we define several topology control games in which the nodes need to choose power levels in order to connect to other nodes in the network to reach their communication partners while at the same time minimizing their costs. We study Nash equilibria and show that-among the games we define-these can only be guaranteed to exist if each network node is required to be connected to all other nodes (we call this the STRONG CONNECTIVITY GAME). For a variation called CONNECTIVITY GAME, where each node is only required to be connected (possibly via intermediate nodes) to a given set of nodes, we show that Nash equilibria do not necessarily exist. We further study how to find Nash equilibria with incentive-compatible algorithms and compare the cost of Nash equilibria to the cost of a social optimum, which is a radius assignment that minimizes the total cost in a network where nodes cooperate. We also study variations of the games; one where nodes not only have to be connected, but k-connected, and one that we call the REACHABILITY GAME, where nodes have to reach as many other nodes as possible, while keeping costs low. We extend our study of the STRONG CONNECTIVITY GAME and the CONNECTIVITY GAME to wireless networks with directional antennas and wireline networks, where nodes need to choose neighbors to which they will pay a link. Our work is a first step towards game-theoretic analyses of topology control in wireless and wireline networks.