Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximate Best-Response Dynamics in Random Interference Games   In this paper we develop a novel approach to the convergence of Best-Response
Dynamics for the family of interference games. Interference games represent the
fundamental resource allocation conflict between users of the radio spectrum.
In contrast to congestion games, interference games are generally not potential
games. Therefore, proving the convergence of the best-response dynamics to a
Nash equilibrium in these games requires new techniques. We suggest a model for
random interference games, based on the long term fading governed by the
players' geometry. Our goal is to prove convergence of the approximate
best-response dynamics with high probability with respect to the randomized
game. We embrace the asynchronous model in which the acting player is chosen at
each stage at random. In our approximate best-response dynamics, the action of
a deviating player is chosen at random among all the approximately best ones.
We show that with high probability, with respect to the players' geometry and
asymptotically with the number of players, each action increases the expected
social-welfare (sum of achievable rates). Hence, the induced sum-rate process
is a submartingale. Based on the Martingale Convergence Theorem, we prove
convergence of the strategy profile to an approximate Nash equilibrium with
good performance for asymptotically almost all interference games. We use the
Markovity of the induced sum-rate process to provide probabilistic bounds on
the convergence time. Finally, we demonstrate our results in simulated
examples.

2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th