Network games : theory, models, and dynamics /
| Main Author: | |
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| Other Authors: | |
| Format: | eBook |
| Language: | English |
| Published: |
[San Rafael, Calif.] :
Morgan & Claypool,
[2011]
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| Series: | Synthesis lectures on communication networks (Online) ;
#9. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Part I. Game theory background
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- 1. Static games and solution concepts
- Strategic form games
- Solution concepts
- Dominant and dominated strategies
- Iterated elimination of strictly dominated strategies
- Nash equilibrium
- Correlated equilibrium
- Existence of a Nash equilibrium
- Games with finite pure strategy sets
- Games with infinite pure strategy sets
- Continuous games
- Discontinuous games
- Uniqueness of a Nash equilibrium
- Appendix: metric spaces and probability measures
- Appendix: nonlinear optimization
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- 2. Game theory dynamics
- Extensive form games
- Learning dynamics in games: fictitious play
- Convergence of fictitious play
- Non-convergence of fictitious play
- Convergence proofs
- Games with special structure
- Supermodular games
- Potential games
- Appendix: lattices
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- Part II. Network games
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- 3. Wireline network games
- Selfish routing, Wardrop equilibrium and efficiency
- Routing model
- Wardrop equilibrium
- Inefficiency of the equilibrium
- Multiple origin-destination pairs
- Partially optimal routing
- Background and motivation
- The model
- Efficiency of partially optimal routing
- Extensions
- Congestion and provider price competition
- Pricing and efficiency with congestion externalities
- Model
- Monopoly pricing and equilibrium
- Oligopoly pricing and equilibrium
- Efficiency analysis
- Extensions
- Concluding remarks
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- 4. Wireless network games
- Noncooperative transmission scheduling in collision channels
- The model and preliminaries
- Equilibrium analysis
- Achievable channel capacity
- Best-response dynamics
- Discussion
- Noncooperative power control in collision channels
- The model
- Equilibrium analysis
- Best-response dynamics and convergence to the power efficient equilibrium
- Equilibrium (in)efficiency and Braess-like paradoxes
- Discussion
- Related work and extensions
- Future directions
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- 5. Future perspectives
- Bibliography
- Authors' biographies.