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In this paper, the authors generalize the random access game model, and show that it provides a general game-theoretic framework for designing contention based medium access control. They extend the random access game model to the network with multiple contention measure signals, study the design of random access games, and analyze different distributed algorithms achieving their equilibria. As examples, a series of utility functions is proposed for games achieving the maximum throughput in a network of homogeneous nodes.
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