  In wireless communication networks, when the workload increases, sources
become more aggressive at the equilibrium in the game setting in comparison
with the team problem by using slotted Aloha mechanism. Consequently, more
packets are in collision and are lost. To reduce these phenomena and to enhance
the performance of the networks, we propose to combine ZigZag decoding approach
with non cooperative slotted Aloha mechanism. This approach was introduced in
our previous work based on the cooperative slotted Aloha mechanism. The
obtained results showed that this approach has significantly improved the
cooperative slotted Aloha mechanism and gave best results for the throughput
and delay. In this paper, we analyze the impact of combining non cooperative
slotted Aloha and ZigZag Decoding. We model the system by a two dimensional
Markov chain that integrates the effect of ZigZag decoding. The states of the
Markov chain describe the number of backlogged packets among the users. We use
a stochastic game to achieve our objective; we evaluate and compare the
performances parameters of the proposed approach with those of a simple slotted
Aloha mechanism. All found results show that our approach improves the
performance parameters of the system.
