Distributed downlink user association in small cell networks with energy harvesting

We consider a user assignment problem in small cell networks, where small cells obtain the required energy through ambient energy harvesting. We model the network as a competitive market with uncertainty, where small cells, represented as consumers, are willing to maximize their utility scores by selecting users, represented as commodities. Small cells are uncertain about the amount of harvested energy, formulated as natures' state. The solution is the general equilibrium under uncertainty, also called Arrow-Debreu equilibrium. We show that in our setting such equilibrium exists, and is Pareto optimal in terms of expected aggregate network utility. Besides, we use the Walras' tatonnement process to implement equilibrium efficiently.