On modeling utility for cooperative slotted Aloha games

In this paper, we propose a generalized utility function model for cooperative slotted Aloha in a distributed system. Multiuser diversity gains are achieved by appropriately designing the Nash equilibrium thresholds for the selfish users. The network enforces fairness among different users by employing a pricing policy that favors equal access probabilities. This generalized game model provides the flexibility in designing the utility function associated with QoS. Our study on the impact of different utility function models shows that the multiuser diversity gains achieved by different models remain constant under the throughput optimization framework and vary slightly under the revenue optimization framework.