  In this paper, we consider a network allocation problem motivated by
peer-to-peer cloud storage models. The setting is that of a network of units
(e.g. computers) that collaborate and offer each other space for the back up of
the data of each unit. We formulate the problem as an optimization problem, we
cast it into a game theoretic setting and we then propose a decentralized
allocation algorithm based on the log-linear learning rule. Our main technical
result is to prove the convergence of the algorithm to the optimal allocation.
We also present some simulations that show the feasibility of our solution and
corroborate the theoretical results.
