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Wireless Device-to-Device Communications and Networks by Ekram Hossain, Zhu Han, Dusit Niyato, Lingyang Song

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There has been a lot of work on modeling wireless networking and resource-allocation problems (e.g., power control, waveform adaptation) using potential games such as those in [143144145146147148149150151152153].

3.10.3 Super-modular games

Super-modular games constitute an important class of games that have the nice properties of existence and convergence to Nash equilibrium. Roughly speaking, in a super-modular game, when one player takes a higher action, the others want to do the same. The game can encompass many applied models, such as a power-control game. Moreover, the super-modular game is analytically appealing, with many properties and desirable behaviors for learning algorithms.

First, we define the super-modular ...

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