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Abstract: We investigate the behavior of a large number of selfish users that are ableto switch dynamically between multiple wireless access-points possiblybelonging to different standards by introducing an iterated non-cooperativegame. Users start out completely uneducated and naive but, by using a fixed setof strategies to process a broadcasted training signal, they quickly evolve andconverge to an evolutionarily stable equilibrium. Then, in order to measureefficiency in this steady state, we adapt the notion of the price of anarchy toour setting and we obtain an explicit analytic estimate for it by using methodsfrom statistical physics namely the theory of replicas. Surprisingly, we findthat the price of anarchy does not depend on the specifics of the wirelessnodes e.g. spectral efficiency but only on the number of strategies per userand a particular combination of the number of nodes, the number of users andthe size of the training signal. Finally, we map this game to the well-studiedminority game, generalizing its analysis to an arbitrary number of choices.



Autor: Panayotis Mertikopoulos, Aris L. Moustakas

Fuente: https://arxiv.org/



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