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IEEE/ACM Transactions on Networking (TON)
Achieving network optima using Stackelberg routing strategies
IEEE/ACM Transactions on Networking (TON)
Optimization flow control—I: basic algorithm and convergence
IEEE/ACM Transactions on Networking (TON)
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Efficiency Loss in a Network Resource Allocation Game
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Efficiency of selfish investments in network security
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Bertrand Competition in Networks
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IEEE/ACM Transactions on Networking (TON)
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How bad are selfish investments in network security?
IEEE/ACM Transactions on Networking (TON)
The Worst-Case Efficiency of Cost Sharing Methods in Resource Allocation Games
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IEEE/ACM Transactions on Networking (TON)
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We study the efficiency of oligopoly equilibria (OE) in congested markets. The motivating examples are the allocation of network flows in a communication network or of traffic in a transportation network. We show that increasing competition among oligopolists can reduce efficiency, measured as the difference between users' willingness to pay and delay costs. We characterize a tight bound of 5/6 on efficiency in pure strategy equilibria when there is zero latency at zero flow and a tight bound of 2√2 - 2 with positive latency at zero flow. These bounds are tight even when the numbers of routes and oligopolists are arbitrarily large.