Please use this identifier to cite or link to this item: https://doi.org/10.1109/TWC.2013.071913.121432
Title: Aloha games with spatial reuse
Authors: Lyu, J.
Chew, Y.H.
Wong, W.-C. 
Keywords: Aloha games
fixed point
Lyapunov stability
order theory
spatial reuse
Issue Date: 2013
Source: Lyu, J., Chew, Y.H., Wong, W.-C. (2013). Aloha games with spatial reuse. IEEE Transactions on Wireless Communications 12 (8) : 3932-3941. ScholarBank@NUS Repository. https://doi.org/10.1109/TWC.2013.071913.121432
Abstract: Aloha games study the transmission probabilities of a group of non-cooperative users which share a channel to transmit via the slotted Aloha protocol. This paper extends the Aloha games to spatial reuse scenarios, and studies the system equilibrium and performance. Specifically, fixed point theory and order theory are used to prove the existence of a least fixed point as the unique Nash equilibrium (NE) of the game and the optimal choice of all players. The Krasovskii's method is used to construct a Lyapunov function and obtain the conditions to examine the stability of the NE. Simulations show that the theories derived are applicable to large-scale distributed systems of complicated network topologies. An empirical relationship between the network connectivity and the achievable total throughput is finally obtained through simulations. © 2002-2012 IEEE.
Source Title: IEEE Transactions on Wireless Communications
URI: http://scholarbank.nus.edu.sg/handle/10635/54967
ISSN: 15361276
DOI: 10.1109/TWC.2013.071913.121432
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