# Stochastic Game Analysis of Cooperation and Selfishness in a Random Access Mechanism
); [EMAIL_ADDRESS] (A.H.)  
[PERSON]  
2 Computer, Networks, Mobility and Modeling Laboratory (IR2M), Faculty of Sciences and Techniques, Hassan First University of Settat, Settat 26000, Morocco, [EMAIL_ADDRESS] (A.Z. ); [EMAIL_ADDRESS] (A.Z. ); [EMAIL_ADDRESS] (A.H.)  
[PERSON]  
1 [PERSON]  
2 Computer, Networks, Mobility and Modeling Laboratory (IR2M), Faculty of Sciences and Techniques, Hassan First University of Settat, Settat 26000, Morocco, [EMAIL_ADDRESS] (A.Z. ); [EMAIL_ADDRESS] (A.Z. ); [EMAIL_ADDRESS] (A.H.)  
[PERSON]  
2 Computer, Networks, Mobility and Modeling Laboratory (IR2M), Faculty of Sciences and Techniques, Hassan First University of Settat, Settat 26000, Morocco, [EMAIL_ADDRESS] (A.Z. ); [EMAIL_ADDRESS] (A.Z. ); [EMAIL_ADDRESS] (A.H.)  
[PERSON]  
2 Computer, Networks, Mobility and Modeling Laboratory (IR2M), Faculty of Sciences and Techniques, Hassan First University of Settat, Settat 26000, Morocco, [EMAIL_ADDRESS] (A.Z. ); [EMAIL_ADDRESS] (A.H.)  
[PERSON]  
2 Computer, Networks, Mobility and Modeling Laboratory (IR2M), Faculty of Sciences and Techniques, Hassan First University of Settat, Settat 26000, Morocco, [EMAIL_ADDRESS] (A.Z. ); [EMAIL_ADDRESS] (A.H.)  
[PERSON]  
2 Computer, Networks, Mobility and Modeling Laboratory (IR2M), Faculty of Sciences and Techniques, Hassan First University of Settat, Settat 26000, Morocco, [EMAIL_ADDRESS] (A.Z. ); [EMAIL_ADDRESS] (A.Z. ); [EMAIL_ADDRESS] (A.H.)  
[PERSON]  
2 Computer, Networks, Mobility and Modeling Laboratory (IR2M), Faculty of Sciences and Techniques, Hassan First University of Settat, Settat 26000, Morocco, [EMAIL_ADDRESS] (A.Z. ); [EMAIL_ADDRESS] (A.H.)  
[PERSON]  
2 Computer, Networks, Mobility and Modeling Laboratory (IR2M), Faculty of Sciences and Techniques, Hassan First University of Settat 26000, Morocco, [EMAIL_ADDRESS] (A.Z. ); [EMAIL_ADDRESS] (A. The cooperative game framework provides highly effective approaches for modeling collaborative environments. It has been widely applied to solve various types of interactive situations such as channel access, resource management, and bandwidth allocation. In wireless networks, cooperation is performed by a central entity for optimizing the overall system performance, thus either maximizing the system throughput, minimizing the access channel delay, or minimizing the backlog level of the network. In non-cooperative game models [4; 13; 14], each user attempts to maximize his utility without considering the potential impact on other users. Unfortunately, this selfish behavior usually leads to a dramatic degradation of the performance of all users. To address this issue, several approaches have been proposed in the literature. For example, in our previous work [12], we proposed to force the cooperation by associating a cost for every transmission attempt. Most game theory models [13; 14; 15; 16; 17; 18] consider that either all users cooperate or all users do not. However, in this paper, we propose a game theory model with both user categories. Thus, the proposed network scenario consists of cooperative and selfish users who share the same wireless channel. In this context, cooperative users behave for the benefit of the overall system. Consequently, they attempt to maximize the overall network performance. In contrast, selfish users are self-contained, and they act independently by trying to maximize their own utility instead of the utility of the overall system. This study aims to investigate the interaction between cooperative and non-cooperative users within the same wireless network, and also to evaluate the impact of selfish behavior on the performance of the cooperative users and on the overall system performance. The main contributions of this paper are as follows:  
* We propose a novel stochastic game model incorporating cooperative and non-cooperative players in the same game. * We develop a bi-dimensional Markov chain to determine the system's state in the stationary regime.