KSII Transactions on Internet and Information Systems (TIIS)

Korean Society for Internet Information (한국인터넷정보학회)
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Stability of Slotted Aloha with Selfish Users under Delay Constraint

  • Chin, Chang-Ho (Department of Industrial & Management Systems Engineering, Kyung Hee University) ;
  • Kim, Jeong-Geun (Department of Electrical Engineering, Kyung Hee University) ;
  • Lee, Deok-Joo (Department of Industrial & Management Systems Engineering, Kyung Hee University)
  • Received : 2010.09.29
  • Accepted : 2011.01.11
  • Published : 2011.03.31
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Abstract

Most game-theoretic works of Aloha have emphasized investigating Nash equilibria according to the system state represented by the number of network users and their decisions. In contrast, we focus on the possible change of nodes' utility state represented by delay constraint and decreasing utility over time. These foregone changes of nodes' state are more likely to instigate selfish behaviors in networking environments. For such environment, in this paper, we propose a repeated Bayesian slotted Aloha game model to analyze the selfish behavior of impatient users. We prove the existence of Nash equilibrium mathematically and empirically. The proposed model enables any type of transmission probability sequence to achieve Nash equilibrium without degrading its optimal throughput. Those Nash equilibria can be used as a solution concept to thwart the selfish behaviors of nodes and ensure the system stability.

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